' +JJJJ ?\>m 0M='+l> /+l   d]@ŵLҦ]]LF L}BBL]` X  ` 鷎귭෍ᷩ췩緈JJJJx Lȿ L8ᷭ緍췩 緍i 8 `巬 췌`x (`(8`I`B` pp>J>J>VU)?`8'x0|&HhHh VY)'&Y)xꪽ)' `Hh`V0^*^*>&` aI꽌ɪVɭ&Y&&Y& 꽌ɪ\8`&&꽌ɪɖ'*&%&,E'зЮ꽌ɪФ`+*xS&x'8*3Ixix&& 8  '  & x)*++`FG8`0($ p,&"ųųೳŪŪųųij  !"#$%&'()*+,-./0123456789:;<=>?   1 '" *"( (9"1 ( ,.(0# 2  /#0/#0 *?'#07#00/0/'#07#0:"4<*55/**5/*%5/)1/)1/)1/)'#0/#0*5/*75/**5/*:5//#0/#0'#07#0:::*::'#07#0"):$(%"%:$(%"%$$2%4%$$2%4%$(2()!)E(!8b $!H(+ "@H !D)"E` @ $ C ` DQ &J80^݌Hh ü ü݌ ռ ռ ռA ļD ļ? ļAEDE?HJ>h Լ ռ ռ ռ`HJ>݌h Hh݌`葠葠ȔЖȔЖȠHIHHHHhHH݌hHhHh݌H6 VDP (ED Z $0x8x D- ܸDD# H8`?E Vk *f???0xE Hh D#-EEE8` D ܸx D - ܸx8`-0ݩ?ʥD EEE`   LDcpq` [` ~  LӜu`".Q`pNФbptťܥm2<(-Py0\|e<6e<g< JJJJj귍hI  aUL@ kU8  L  Q^R(jQ0l^l\  wUuW ԧ H h@ [_ /QSb_L`LLLL`ª`LQLYLeLXLeLee ўQH\(h0L& Ꝥ$`( R \ZLl8 ўR HH\`\Z[YS6`LxQɿu3'RͲʎRʎ]]]ɍuL͟ɍ}RLRɍg^H8 ^hZLɍR LͲɊRR% QLܤͲ Z@ -^ ş\[Z QY\[Z8`l6Lş_Ȍb_Ͳ] )Y h( ֭ͲLɍ [LLĦ__ ^ 9 LҦ3 9 a   0LjLY u< (_9 ˭ɠuɠK_9 ?LˆʎõĵL õ ĵµ aµ`` L̦µ_bJLuLz`  ȟ QLJ̥KlVlXlV eօ3L e3L &RL &QL d L4 Ne)n `@-eff `LLL` OPu d L Ne)noon 8ɍ` ^f\õL ^NR  RΩLҦ)\Z ʽ LHv 3h`0h8` [L NС õ`A@` ŵL^Lõ`  \ 濭0 \  ȟ Q ^\lZl^?cqH şch`fhjõĵ@OAP`u@`@&`QR`E Ls  @DAE@u`8` %@ @A@`@`@A`Mµ ) LЦ`8@AWc@8@-@HAȑ@hHȑ@ȑ@hHȑ@Ȋ@ch8&ȑ@Hȑ@Ah@LHȑ@ȑ@ htphso`hMhL`9V8U897T6S67`MAKLOASAVRUCHAIDELETLOCUNLOCCLOSREAEXEWRITPOSITIOOPEAPPENRENAMCATALOMONOMOPRINMAXFILEFINBSAVBLOABRUVERIF!pppp p p p p`" t""#x"p0p@p@@@p@!y q q p@  LANGUAGE NOT AVAILABLRANGE ERROWRITE PROTECTEEND OF DATFILE NOT FOUNVOLUME MISMATCI/O ERRODISK FULFILE LOCKESYNTAX ERRONO BUFFERS AVAILABLFILE TYPE MISMATCPROGRAM TOO LARGNOT DIRECT COMMANč$3>L[dmx- (  @Ҡ@跻~!Wo*9~~~~ɬƬ~_ j ʪHɪH`Lc (L ܫ㵮赎 ɱ^_ J QL_Ls贩紎 DǴҵԵƴѵӵµȴ 7 ַ :ŵƴѵǴҵȴµ納贍﵎ٵ്ᵭⳍڵL^ѵ-I `  4 ò-յ!  8صٵ紭ﵝ 7L (0+BC  7L HH`LgL{0 HH` õL H hBL BH [ h`Lo õ ڬL B ڬ LʬH hB@ յյ [L (ȴ) ȴ 7L L ( L (ȴL{ƴѵ洩ƴǴҵ 7 ^* B0 HȱBh ӵԵ 8 L8 ݲ`XL XQTV8 <=C>?Bؠ ,L       紅D贅E B ƴ  / 0L Ν `HD٤DEEhiHLGh ` ŵBѵ-` ѵB-` ܫ XI볩쳢8 DH E𳈈췍Ȍ X0 · JLǵBȵC`,յp` 䯩 R-յյ`յ0` K R-յյ`ɵʵӵԵ` 4 K ( ѵҵLBȱBL8` DBHBH : ַ޵BȭߵBhhӵԵ RBܵmڵ޵ȱBݵm۵ߵ` 䯩LR˵̵ֵ׵`êĪLR E( 8` R` ELRŪƪ`췌 յյI뷭鷭귭ⵍ㵍跬ª 뷰` Lf ݵܵߵ޵ ^`8ܵ i B8` 4L ֵȱB׵ ܯ䵍൭嵍 ` DȑB׵Bֵ  ַ յյ`굎뵎쵬 뵎쵌``õĵBCõĵ`µµ`L õBĵCصص Qƴ0"Bƴ 󮜳` 0۰ϬBƴ8`i#`ЗLw!0>ﵭ` m ﳐ 7i볍 8 ЉLw`H h ݲL~ `浍국䵍뵩嵠Jm赍嵊mjnnn浈ۭm浍浭m䵍䵩m嵍`"L ŵ8ŵH ~(`F d ֠z# up8:"^NOW LET'S TAKE OUR QUADRILATERAL AND MAKE BOTH PAIRS OF SIDES PARALLEL."QA60:QB10:LH130:LV62:OFFSET20:80120,5125,10120,15121,15126,10121,565,4570,4075,4576,4571,4066,45 195,45200,40205,45206,45201TRAPEZOID IS A QUADRILATERAL. ^ANY QUADRILATERAL CAN BE SPLIT INTO 2 TRIANGLES CONTAINING 180 DEGREES EACH, FOR A TOTAL OF 360 DEGREES.":KP1:7000AX60:AY72:BX220:BY72:CX180:CY10:DX110:DY10:200:60,72180,10181,1061,72:11000:62450Z62450w5:"^WOULD YOU LIKE TO SEE WHAT YOU JUST SAW ABOUT THE TRAPEZOID AGAIN?":12:7:"(^TYPE '^Y' OR '^N'.)"9600Q$"^THE SUM OF A TRAPEZOID'S ANGLES IS":Q1$"180 DEGREES.":Q2$"360 DEGREES.":Q3$"540 DEGREES.":A$"B"EX1:H$"^A PARALLEL SIDES OF A TRAPEZOID ARE CALLED ITS BASES.":9:16:R5:10000:L$11:"^THE NON-PARALLEL SIDES ARE CALLED THE LEGS.":5:12:R4:10000:L$:11000ZZ12:HC57:HC:60,72110,10111,1061,72:220,72180,10181,10221,72:13999:: TC.":11000:150008:"^THIS FIGURE (WITH ONE PAIR OF SIDES PARALLEL) IS CALLED A TRAPEZOID.":9:23:R9:10000:L$:11:"^IT'S PRONOUNCED LIKE IT'S SPELLED.":11000:15000ZZ12:HC57:HC:60,72220,72:180,10110,10:13999::L8:"^THE HE ARROWHEADS ON ^C^D AND ^F^E ARE TO INDICATE THAT THEY ARE PARALLEL.":11000:150008:"^A QUADRILATERAL IS NAMED BY LISTING ITS VERTICES (THAT'S THE PLURAL OF VERTEX) IN ORDER.":11:"^THIS, THEN, IS ^C^D^E^F, OR ^D^E^F^C,":"OR ^E^F^C^D, ELLEL."BrAX60:AY72:BX220:BY72:CX180:CY10:DX110:DY10:200Pt375:380}w140,5145,10140,15141,15146,10141,5x140,67145,72140,77141,77146,72141,67y|}1:13:"^C":1:25:"^D"~6:7:"^F":6:30:"^E"Y11:"^TM OF THE MEASURES OF ITS ANGLES MUST BE TWICE THAT, OR 360 DEGREES.":11000:62450k8:"^WOULD YOU LIKE TO GO OVER THAT ONE MORE TIME?":12:9:"(^TYPE '^Y' OR '^N'.)":9500m8:"^LET'S TAKE A QUADRILATERAL AND MAKE A PAIR OF OPPOSITE SIDES PARAUADRILATERAL2 (AX,AY);(BX,BY);(CX,CY);(DX,DY)U AX,AYBX,BYCX,CYDX,DYAX,AY AXAX1:BXBX1:CXCX1:DXDX1:AX,AYBX,BYCX,CYDX,DYAX,AY DRAWS AN ANGLE GIVEN COORDINATES OF THREE POINTS. (AX,AY);(BX,BY);(CX,CY) * *90:PXX2:PYY2:190:X1,Y1X2,Y2& ; DRAW TRIANGLE X (RX,RY);(SX,SY);(TX,TY)u RX,RYSX,SYTX,TYRX,RY RXRX1:SXSX1:TXTX1:RX,RYSX,SYTX,TYRX,RY PX,PYPX1,PY:PX,PY1PX1,PY1:PX,PY1:PX1,PY1 DRAW ANY Q ALSO SPECIFY LH AND LV- nQCQALHOFFSETd xQA,QB(QALH),QBQC,(QBLV)(QCLH),(QBLV)QA,QB QAQA1:QCQC1:QA,QB(QALH),QBQC,(QBLV)(QCLH),(QBLV)QA,QB PLOT A LINE SEGMENT AND ITS ENDPOINTS (X1,Y1);(X2,Y2) PXX1:PYY1:1S SOMETHING ABOUT IT THAT IS JUST RIGHT!":11000:15000|ZZ12:HC57:HC:16000:8120,45:8121,45:16100:13999::"8:"^IT IS JUST RIGHT FOR TABLE CORNERS, STREET CORNERS, BOOK CORNERS, ETC.":13995:11:"^IN FACT IT IS SO RIGHT FOR SO MUCH E THAT MARKING, IT MEANS '90 DEGREES'.":11000:624508:"^HAVE YOU EVER TAKEN A GOOD LOOK AT A 90 DEGREE ANGLE?":13995ZZ12:HC57:HC16000:8120,45:8121,45:16100:13999::710:"^THEN YOU PROBABLY NOTICED THAT THERE I WHETHER YOU CAN FIT A BOOK'S CORNER INTO THE ANGLE. ^THE WAY THE ANGLE FACES MAKES NO DIFFERENCE AT ALL.":11000:1500078:"^THE LITTLE SQUARE DRAWN IN EACH OF THE ANGLES IS A CONVENIENT WAY OF MARKING THEM AS HAVING 90 DEGREES. ^IF YOU SEANGLE MUST CONTAIN ONE-FOURTH OF 360, OR 90 DEGREES.":11000:62450d16000:0:80,80:81,80~56:875,80:876,8048:8150,80:8151,8040:8225,65:8226,65161008:"^THESE ARE ALL 90 DEGREE ANGLES. ^THE KEY TEST ISE, JUST PRESS THE"::"SPACE BAR";::", AND THE PROGRAM WILL RESTART."!F21:15);"THANK YOU!";:16368,0:A$:A$" "Ģ21:958::18060!F18000!F:(4);"OPEN WPT":(4);"CLOSE WPT":(4);"DELETE WPT":! NTHERE WAS GOING TO BE ONLY ONE RIGHT ANGLE!";(34)K"711000:15000":8:"^ACTUALLY, ^I SAID ^I'D PUT ONLY ONE RIGHT ANGLE INTO THE PARALLELOGRAM. ^I DID! ^LOOK!!"";8:22:R3:10000:L$"<11000:15000#?ZZ12:HC57:HC:60,6568,2:6:"(^TYPE '^Y' OR '^N'.)":9700!&8:"^BY PUTTING ONE RIGHT ANGLE INTO A PARALLELOGRAM, WE CAN GET A VERY FAMILIAR LOOKING FIGURE."!+QA60:QB10:LH120:LV62:30!011000:150009"58:(34);"^HMM,";(34);" YOU SAY. ";(34);"^I THOUGHT TT":"MEANS THE MEASURES OF ^M + ^N = 180 DEGREES, ^N + ^O = 180 DEGREES ETC." H22:V11:9000:H27:V11:9000:H9:V12:9000:H14:V12:9000 11000:62450 5:"^WOULD YOU LIKE TO SEE ALL WE JUST LEARNED ABOUT PARALLELOGRAMS AGAIN?"#!1O = ^P.":Q2$" ^M = ^O AND ^N = ^P.":Q3$"^NONE OF THE ABOVE.":A$"B":EX2 H$"^A PARALLELOGRAM'S OPPOSITE ANGLES ARE EQUAL IN MEASURE. ^WHAT'S JUST AS INTERESTING IS THAT CONSECUTIVE ANGLES SUM TO 180 DEGREES.":KP3:7000Q 10:29:"^THA7,67$65,3575,35:195,35205,35313999::>15000|H5:V8:9000:H10:V8:9000:H5:V9:9000:H10:V9:9000H17:V8:9000:H22:V8:9000:H17:V9:9000:H22:V9:9000PQ$"^WHICH ANGLES ARE EQUAL IN MEASURE?":Q1$" ^M = ^N AND ^LELOGRAM'S OPPOSITE SIDES ARE EQUAL IN LENGTH."t11:"^WE SHOW THAT BY MARKING THEM IN THE SAME MANNER.":11000ZZ12:HC57:HC100,5100,15101,15101,5:106,5106,15107,15107,5120,67120,77121,77121,67:126,67126,77127,7712 NAME FOR THE FIGURE?":Q1$" ^P^O^N^M.":Q2$" ^M^P^O^N.":Q3$" ^P^N^M^O.":A$"C":EX2H$"^REMEMBER, ANY QUADRILATERAL'S VERTICES MUST BE NAMED IN ORDER, AS IF YOU WERE CIRCLING THE FIGURE.":KP2:700011000:1530008:"^ANY PARALN^O^P IS JUST ONE NAME FOR THIS PARALLELOGRAM. ^AS WITH ALL OTHER QUADRILATERALS, ITS VERTICES MUST BE NAMED IN ORDER.":V8:H1:1200011000:150007:10:R3:10000:L$:H4:V8:12000:H4:V9:12000:H4:V10:12000\Q$"^WHICH IS NOT A,40196,459150,67155,72150,77151,77156,72151,67V1:7:"^M":1:25:"^N"t6:10:"^P":6:27:"^O"11:"^THIS IS CALLED A PARALLELOGRAM. ^IT'S PRONOUNCED AS IT'S SPELLED."11:18:R13:10000:L$:11000:150008:" ^M^E TWO OPPOSITE RAYS. (^THE VERTEX IS AT ^S.)"K"5H13:V8:9000:13998"610:"^NOTICE THAT WHEN THE ANGLE WAS MADE THE SIDE ROTATED THROUGH TWO RIGHT ANGLES. (^THAT'S 180 DEGREES.)":11000"815200:555:11000:15000#:8:" ^S LOOKS LIKE A NEVER THOUGHT OF.":11000:62450*!(5553!)564U!* ROTATE RAY THRU 180 DEGREESt!+16000:0:1140,72:13995!.RO56328:RO:1140,72:13998:0:RO:1140,72:7:!0RO32:1140,72:16100!26:18:"^S"!31"48:"^THE SIDES OF ^S ARX121:BY70:CX181:CY70:235, 13999::p 8:"^THE REASON FOR ITS NAMING MUST BE QUITE OBTUSE.":13995 !11:"^IN FACT, IT IS CALLED AN OBTUSE ANGLE!" $12:4:R12:10000:L$ %!!&8:"^NOW HERE'S AN ANGLE YOU PROBABLY 0:23513999::8:"^NOW THE MEASURE OF THIS ANGLE IS GREATER THAN 90 DEGREES, BUT LESS THAN 180.":"^I DON'T KNOW WHY IT IS CALLED WHAT IT IS.":11000:15000 ZZ12:HC57:HC:AX80:AY10:BX120:BY70:CX180:CY70:235:AX81:AY10:B181:AY10:BX121:BY70:CX181:CY70:2357 13999::f 12:"^WHAT A CUTE ANGLE!!!":11000:62450 STICK STRAIGHT ANGLE BEFORE OBTUSE550ZZ12:HC57:HC:AX80:AY10:BX120:BY70:CX180:CY70:235:AX81:AY10:BX121:BY70:CX181:CY7ύōύՍ":Q2$"HAVE RIGHT ANGLES.":Q3$"HAVE EQUAL DIAGONALS.":A$"A"-H$"^A DIAGONAL CONNECTS OPPOSITE CORNERS OF A QUADRILATERAL. ^THOSE OF THE SQUARE AND RECTANGLE ARE EQUAL IN LENGTH.":KP8:7000. 5:"^UH OH! ^MY PET PARROT JUST FLEW TANGLE.":Q3$"POLYGON.":A$"C",H$"^PARALLELOGRAMS AND RECTANGLES ARE EXAMPLES OF QUADRILATERALS. ^A QUADRILATERAL IS A POLYGON -- A MANY SIDED, MANY ANGLED FIGURE.":KP7:7000=-Q$"^THE RHOMBUS AND THE SQUARE BOTH":Q1$"ARE EQUILATERAL. PARALLEL":Q1$"LEGS.":Q2$"BASES.":Q3$"LINES.":A$"B":EX0+H$"^THE PARALLEL SIDES OF A TRAPEZOID ARE CALLED BASES. ^THE NON-PARALLEL SIDES ARE CALLED LEGS."+KP6:7000,Q$"^A QUADRILATERAL IS AN EXAMPLE OF A":Q1$"PARALLELOGRAM.":Q2$"RECE MAKES ALL THE ANGLES IN THE FIGURE RIGHT ANGLES. ^SINCE THE SIDES WERE ALREADY EQUAL, THE RESULT IS A SQUARE.":KP5:7000*QA60:QB0:LV70:LH80:30:11000:62450*5:"^LET'S SEE WHAT ELSE YOU REMEMBER.":11000:62450<+Q$"^A TRAPEZOID HAS 2AL PARALLELOGRAM FIRST.":11:"^THIS FIGURE IS CALLED A RHOMBUS! (^THAT'S PRONOUNCED ^R^A^H^M' BUS.)":11000:15000)Q$"^A RHOMBUS WITH A RIGHT ANGLE IS":Q1$"A SQUARE.":Q2$"A RECTANGLE.":Q3$"A TRAPEZOID.":A$"A":EX1}*H$"^ADDING A RIGHT ANGL10:OFFSET20:LH80:LV60:80D(H89:V40:13100:H169:V40:13100l(H138:V10:13000:H118:V70:13000(145,5145,15146,15146,5:125,65125,75126,75126,65(87,3597,35:167,35177,35v)8:"^LETS REVERSE THE ORDER, AND MAKE AN EQUILATERR, A SQUARE, LIKE A RECTANGLE, IS A PARALLELOGRAM!":11000:62450'8:"^ONE FINAL FIGURE REMAINS TO BE CONSIDERED. ^WE ADDED A RIGHT ANGLE TO A PARALLELOGRAM, AND THEN MADE ITS SIDES EQUAL TO GET A SQUARE.":11000:15000(QA100:QBNGLE EQUILATERAL?":Q1$"^A RHOMBUS.":Q2$"^A SQUARE.":Q3$"^A HEADACHE.":A$"B":EX1&qH$"^AN EQUILATERAL RECTANGLE IS ONE WITH ALL SIDES OF EQUAL LENGTH. ^THAT'S KNOWN AS A SQUARE.":KP4:7000&vQA82:QB10:LH80:LV70:30J'11:"^REMEMBE999::l%b8:"^AND THAT'S THE TRUE STORY OF HOW ^I CAME TO HAVE THIS RECTANGLE.":9:21:R9:10000:L$%g11:"^DO YOU WANT ME TO TELL YOU THE TALE AGAIN? (^TYPE '^Y' OR '^N'.)":9800U&l6:"^WHAT DO YOU THINK WE'D GET IF WE":Q$"MADE THE RECTA"^SINCE CONSECUTIVE ANGLES IN ANY PARALLELOGRAM ARE SUPPLEMENTARY, THE NEXT THING THAT HAPPENED WAS:"~$V11000:15000$XZZ12:HC57:HC:180,65172,65172,72173,72173,65:13999::%]ZZ12:HC57:HC:60,1768,1768,1069,1069,17:136568,7269,7269,65:13999::#D8:"^BUT IN A PARALLELOGRAM, OPPOSITE ANGLES HAVE EQUAL MEASURE, SO LOOK WHAT HAPPENED:":11000:15000#IZZ12:HC57:HC:180,17172,17172,10173,10173,17:13999::#N8:"^BUT THAT WAS NOT ALL."l$S9: VERTEX IS AT (BX,BY) * * 1 AX,AYBX,BYCX,CY` AXAX1:BXBX1:CXCX1:AX,AYBX,BYCX,CYf ONE HUNDRED SQUARES (X/Y=8/7)! QB012614 QA3018915:LH16:LV14:30:   " EQUILATERAL TRIANGLE, SO MARKED!#RX100:RY ROUTINE&H11000:62450w&XAX200:AY80:BX100:BY80:CX182:CY63:235:AX201:AY80:BX101:BY80:CX183:CY63:235:&]12:6:"^A":26:6:"^B":24:5:"^C"&b8:" ^C^A^B IS AN ACUTE ANGLE.":H1:V8:9000:11000:15200'g100,80100,13:101,8080:CY70:235:AX181:AY10:BX121:BY70:CX181:CY70:235:13999::%F11000:62450:Q$"^IN ONE HOUR, A CLOCK'S MINUTE HAND":Q1$"ROTATES 180 DEGREES.":Q2$"ROTATES 270 DEGREES.":Q3$"ROTATES 360 DEGREES.":A$"C":H$"":7000:700&G530: OBTUSE ANGLEύōB$6(B$(3)ER255:2001066*B$(8)B$""7205N6/B$"A"B$"C"7205^6211:29:B$g64RT$69RT$(8)Ē0:11:29:B$:7:72056>RT$(13)72206C6'# THIS SUBROUTINE DRAWS ANGLE SIGN AT (H,T) WHERE H=HTAB AND V = VTAB VALUES. 7(#V"^PYTHAGORAS WOULD BE PROUD!":7130515100:CB(((1)65)64):CDCB:NN13:CHCD3232:768,CH:769,CH2:770::CDCB::12:R$:13999:11000562450:7:H$:EX1ı513999:11000:62450:5 INPUT ROUTINE5 28:11:R3:10000:L$6%"^WOW! ^YOU'RE NO SQUARE!":7130J4R$"^IS SOMEONE HELPING YOU?":7130|4R$"^DARN! ^I THOUGHT ^I'D FOOL YOU!!":71304R$"^YOUR THOUGHTS PARALLEL MINE!":71304R$"^I SEE YOU GOT THE POINT!":71304R$"^YOU ARE REALLY ACUTE!!":7130$5R$ECT ANSWER IS (";A$;").":11000:7140I3 ** CORRECT ANSWER ROUTINE **f3R((1)9)1:RRR7100o3RRR3R7121,7122,7123,7124,7125,7126,7127,7128,712933R$"^HEY, THAT'S RIGHT!":71303R$"^OH, YOU KNOW ALL THE ANGLES!":7130"4R$2W QUIZ ROUTINE* * 2X)2Y7:Q$T2\8:"(A) ";Q1$:"(B) ";Q2$:"(C) ";Q3$2b12:"^TYPE IN THE CORRECT LETTER...":3:" THEN PRESS <^R^E^T^U^R^N>.":72002lB$A$71002u *** INCORRECT ANSWER ROUTINE ***2v15100%312:6:"^THE CORR"A1 THIS SUBROUTINE SETS PRINT POINTERS BACK TO NORMAL TEXTm154,189:55,158:43603,240:43604,253:1 THIS SUBROUTINE SETS PRINT POINTERS TO HI-RES SCREEN154,237:55,148:43603,237:43604,148:116100:2V H$ IS A ONE LINE HINTPLEMENTARY."00k11:" ^L^I^H AND ^L^I^J ARE"0p2:"SUPPLEMENTARY ANGLES.":V11:H1:9000:V11:H10:9000:12:2:R20:10000:L$0z11000:6245007:"^HERE COME A FEW LINES TO CHECK ON SOME OF THE FINE POINTS."010001:(4);"RUNQUIZ212:HC13:HC:16000:0:16140,72:140,72190,22191,22141,72:13999::/\ZZ12:HC57:HC:16000:32:16140,72:140,72190,22191,22141,72:13999:::16100/e11000:15000 0f8:"^TWO OR MORE ANGLES WHOSE SUM IS 180 DEGREES ARE CALLED SUP000R.912:" ^H^I^J HAS A MEASURE OF 180 DEGREES.":H1:V12:9000:11000:15000s.>140,72190,22191,22141,72.C2:25:"^L".H8:" ^L^I^J AND ^L^I^H HAVE A TOTAL MEASURE OF 180 DEGREES.":H1:V8:9000:H10:V8:9000.M13998:13998L/RZZN'.)"-16368,0:AC$*-AC$"Y"ī699@-AC$"N"Č62450:I-750q- 8:"^FINALLY, CONSIDER THIS LINE."-*16000:32:16140,72:0:16140,72:16100-/9:6:"^H":18:6:"^I":27:6:"^J".410:"^LINE ^H^I^J IS ALSO ^H^I^J.":V10:H17:97:0:1150,45,13998*,RR5608B,RR:1:7:1150,45y,16100:1:21:0:ND:7:1:21:NDND45:ND:16000,RR,13998:0:1150,45,,7:1150,45:16100-10:"^WOULD YOU LIKE TO SEE THAT AGAIN?":12:9:"(^TYPE '^Y' OR '^62450:7:17:"OH!":13998:13998:624501+800p+THIS GOSUB BEGINS AT 700, BUT 699 IS INTEGRAL FOR REPEATS+ROTATES A DRAWN RAY THROUGH 360 DEGREES BY 45'S+1:21:0:"360":7+1:1:"^NUMBER OF DEGREES = ":ND0:1:21:ND+16000,24:9000:14000^*ZZ12:HC57:HC:100,13100,80182,63183,63101,80101,13:13999::*9:(34);"^SO ARE YOU, ^B^A^C!";(34)*V9:H13:9000:14000*11:"^N^O! ^N^O!! ^N^O!!!":"^NOT COMP^L^IMENTARY! ^COMP^L^EMENTARY!!"(+11000:V12:H10:9000:12:25:R1:10000:L$8)11000:15000)ZZ13:HC13:HC:AX200:AY80:BX100:BY80:CX182:CY63:235:AX201:AY80:BX101:BY80:CX183:CY63:235:13999::)8:1:(34):8:2:"^YOU'RE LOOKING LOVELY, ^D^A^C!";:(34)*V8:H:0:7:2000:; NER(222)C;*NER255İ1000::(4);"RUNEA MENU"I;4N SPECIFY QA, QB, LH, LVN 2QA,QB(QALH),QB(QALH),(QBLV)QA,(QBLV)QA,QB <QAQA1:QA,QB(QALH),QB(QALH),(QBLV)QA,(QBLV)QA,QB F P DRAW PARALLELOGRAM Z SPECIFY QA,QB AND OFFSET FROM THE VERTICAL FOR THE FIGURE'S OTHER SIDES. dZ3 2000025934# POLYG38210,14: SET THE SPACING i975,0: RESET TO LOWER CASE 1014,165:1015,98  38219,8 33,36:35,13230,64:62450:1:0:7200016100300 DRAW RECTANGLE (                                 " 7T110000::+::YY101:YY,0,191,40,0:G::YY120:YY,0,191,40,0:a::YY0:YY,0,191,29,0:|::YY44:YY,0,191,29,0:::YY162:YY,0,191,39,0::`;YY178:YY,0,191,40,0::;YY86:YY,0,191,39,0::>233,146:232,171:;>232,171:233,149:1H,VH5,V5:HH1:H5,V5H,VH5,V5::F9,3UP POINTING ARROWHEADS|963H5,V5H,VH5,V5:HH1:H5,V5H,VH5,V5:96T1500::96 VERY SHORT TIME DELAY96T1250::96 SHORT TIME-DELAY96T15000::97 MEDIUM TIME DELAY:8\+16368,0:38219,78^+7I8f+13:"(^PRESS ^SPACE TO ^CONTINUE)":AC$e8h+AC$(3)ER255:20010y8k+AC$" "111008p+38219,8:8.V(V15)78.H(H7.8)28.16000:0:1:14H,V:14H1,V:16100:82RIGHT POINTING ARROWHEADS*92H5,V520107R&AC$"Y"Č62450:55037\&AC$"N"Č62450:=7f&9700_7'L$"":T1R:L$L$(95):T:v7*16368,0:38219,7}7*67+13:2:"(^PRESS ^SPACE ^BAR TO ^CONTINUE.)":7:AC$7+AC$(3)ER255::200107+AC$" "110007 +38219,8:15200:06%16368,0:AC$26%AC$(3)ER255::20010K6%AC$"Y"Č62450:370a6%AC$"N"Č62450:k6%9600~6%16368,0:AC$6%AC$(3)ER255::20106%AC$"Y"Č62450:4506%AC$"N"Č62450:6&97006H&16368,0:AC$7M&AC$(3)ER255::RE H=HTAB AND V = VTAB VALUES.-5(#V(V15)7<5)#H(H7.8)f5*#16000:0:1:5H,V:5H1,V:16100:5% YES/NO ROUTINE * * * FILL IN NUMBER IN 95105%16368,0:AC$5!%AC$(3)ERR255:200105&%AC$"Y"Č62450:34550%AC$"N"Č62450:6:%9504%B$$4(B$(3)ER255::20010<4*B$(8)B$""7205T4/B$"A"B$"C"7205d4211:29:B$m44RT$46RT$(3)ER255::2001049RT$(8)Ē0:11:29:B$:7:72054>RT$(13)72204C5'# THIS SUBROUTINE DRAWS ANGLE SIGN AT (H,T) WHEPROUD!":7130~315100:CB(((1)65)64):CDCB:NN13:CHCD3232:768,CH:769,CH2:770::CDCB::12:R$:13999:110003EX2İ15300:7:H$:362450:7:H$:EX1ı313999:11000:62450:3 INPUT ROUTINE3 28:11:R3:10000:L$ARE!":713032R$"^IS SOMEONE HELPING YOU?":7130e2R$"^DARN! ^I THOUGHT ^I'D FOOL YOU!!":71302R$"^YOUR THOUGHTS PARALLEL MINE!":71302R$"^I SEE YOU GOT THE POINT!":71302R$"^YOU ARE REALLY ACUTE!!":7130 3R$"^PYTHAGORAS WOULD BE 0%1 ** CORRECT ANSWER ROUTINE **71R((1)9)1C1P(KP)1W1RRR7100:RRR1R7121,7122,7123,7124,7125,7126,7127,7128,712911R$"^HEY, THAT'S RIGHT!":71301R$"^OH, YOU KNOW ALL THE ANGLES!":7130 2R$"^WOW! ^YOU'RE NO SQU7:Q$00\8:"(A) ";Q1$:"(B) ";Q2$:"(C) ";Q3$0b12:"^TYPE IN THE CORRECT LETTER...":3:" THEN PRESS <^R^E^T^U^R^N>.":72000lB$A$71000u *** INCORRECT ANSWER ROUTINE ***0v15100112:6:"^THE CORRECT ANSWER IS (";A$;").":11000:714ERS BACK TO NORMAL TEXTC/54,189:55,158:43603,240:43604,253:/ THIS SUBROUTINE SETS PRINT POINTERS TO HI-RES SCREEN/54,237:55,148:43603,237:43604,148:/16100:/V H$ IS A ONE LINE HINT/W QUIZ ROUTINE* * /XP(KP)00YOUT OF THE WINDOW.":14000G.7:"^I HAVE TO GO SEE WHERE POLYGON!!!".11000:62450:7:5:"^SEE YOU NEXT LESSON!":13998:13998. 1000.%T18:KTKTP(T):T:765,KT.*:(4);"RUN FILER":810.999/ THIS SUBROUTINE SETS PRINT POINT5000!f70,0210,72211,7271,0h8:"^ANY QUADRILATERAL CAN BE SPLIT INTO TWO TRIANGLES.":"^REMEMBER, A TRIANGLE'S ANGLE MEASURES SUM TO 180 DEGREES.":11000:15000Sj8:"^THEN, SINCE A QUADRILATERAL MAY BE SHOWN TO BE 2 TRIANGLES, THE SU QUADRILATERAL. ^IT HAS FOUR SIDES, BUT NONE OF THE SPECIAL PROPERTIES OF SOME OF THE FIGURES WE WILL SOON STUDY.":11000:15000c8:"^IT WOULD NOT BE FAIR TO ASK YOU THE DEGREE MEASURE OF THE SUM OF ITS ANGLES. ^BUT CONSIDER...":11000:1;(34);" COMES FROM TWO ^LATIN WORDS:"O11:"^QUATTUOR MEANS FOUR. ^LATERUS MEANS SIDE.":1:11:R8:10000:L$:12:1:R7:10000:L$T11000:62450YAX70:AY0:BX100:BY72:CX210:CY72:DX240:DY30:200^8:"^HERE WE HAVE A0:AY0:BX130:BY72:CX240:CY50:DX265:DY25:200E10:"^A QUADRILATERAL, (PRONOUNCED ^K^W^A^D' RI-^L^A^T' IR-UL), IS A POLYGON":"WITH 4 SIDES AND 4 ANGLES.":3:10:R13:10000:L$F11000:15000)J8:"^THE WORD, ";(34);"QUADRILATERAL,"0:DY164:200K 17:7:7:"^THE ^FEARSOME ^FOURSOME":13995:11000:62450u 68:"^HERE ARE A FEW QUADRILATERALS." ;QA0:QB0:LH35:LV72:30 >QA42:QB0:OFFSET10:LH35:LV26:80 @AX42:AY72:BX110:BY72:CX90:CY40:DX60:DY40:2002AAX13C AXAX1:BXBX1:CXCX1:DXDX1:AX,AYBX,BYCX,CYDX,DYAX,AYI j ,6:QA0:QB0:LH24:LV30:30 -5:RX233:RY165:SX277:SY157:TX255:TY144:150 .1:QA220:QB15:OFFSET15:LV18:LH25:80 /2:AX16:AY142:BX40:BY142:CX52:CY164:DXLE RX,RYSX,SYTX,TYRX,RYU RXRX1:SXSX1:TXTX1:RX,RYSX,SYTX,TYRX,RY[ PX,PYPX1,PY:PX,PY1PX1,PY1:PX,PY1:PX1,PY1 DRAW ANY QUADRILATERAL (AX,AY);(BX,BY);(CX,CY);(DX,DY) AX,AYBX,BYCX,CYDX,DYAX,AY ALSO SPECIFY LH AND LV- nQCQALHOFFSETd xQA,QB(QALH),QBQC,(QBLV)(QCLH),(QBLV)QA,QB QAQA1:QCQC1:QA,QB(QALH),QBQC,(QBLV)(QCLH),(QBLV)QA,QB PLOT A LINE SEGMENT AND ITS ENDPOINTS (X1,Y1);(X2,Y2) DRAW TRIANG SPECIFY QA, QB, LH, LVN 2QA,QB(QALH),QB(QALH),(QBLV)QA,(QBLV)QA,QB <QAQA1:QA,QB(QALH),QB(QALH),(QBLV)QA,(QBLV)QA,QB F P DRAW PARALLELOGRAM Z SPECIFY QA,QB AND OFFSET FROM THE VERTICAL FOR THE FIGURE'S OTHER SIDES. dJ3 2000025934# QUADG38210,14: SET THE SPACING i975,0: RESET TO LOWER CASE 1014,165:1015,98  38219,8 33,36:35,13230,64:62450:1:0:7200016100300 DRAW RECTANGLE (        80 ZMOMENT, WHILE I GET IT...";@ nZ$"A"ĺ:(4);"RUNBASICS":110e xZ$"B"ĺ:(4);"RUNANGLES":110 }Z$"C"ĺ:(4);"RUNPOLY":110 Z$"D"ĺ:(4);"RUNQUAD":110 80 3"E"ĺ:(4);"RUNPYRAMID5":110 80 ZNPYRAMID5":110 T110000::)9:YY101:YY,0,191,39,0:E9:YY120:YY,0,191,39,0:_9:YY0:YY,0,191,29,0:z9:YY44:YY,0,191,29,0:9:YY162:YY,0,191,39,0:9`;YY178:YY,0,191,39,0:9>233,146:232,171:9>232,171:233,149:1:0:7:2000:9 NER(222)ύōύՍ502RX100:RY30:SX100:SY85:TX220:TY85:150Z100,81105,81105,85106,85106,818:"^YOU MAY RECOGNIZE THIS AS A RIGHT TRIANGLE, BUT IT IS ALSO A SCALENE TRIANGLE!!":11000:1520012:"^LOOK AT THE SIDES!":14000-ZZ12:HC57"^ONCE AGAIN, THERE ARE THREE CLASSES TO BE LOOKED AT.":11000:62450sRX60:RY72:SX110:SY72:TX70:TY35:1508:"^FIRST IS THE SCALENE TRIANGLE.":14:8:R7:10000:L$10:"^THE SCALENE TRIANGLE HAS NO SIDES EQUAL IN LENGTH.":11000:624^N'.)"116368,0:AC$:AC$(3)ER255:20010RAC$"Y"AC$"Y"Č62450:370sAC$"N"AC$"^"Č62450:430|425BEGIN SIDES DISCUSSION345:350:355E8:"^TRIANGLES MAY ALSO BE CLASSIFIED BY THEIR SIDES (AS ALREADY NOTED).":11:151,72191,35:13999::a15000:8:"^THE OTHER TWO ANGLES, OF COURSE, ARE ACUTE.":11000l624505:"^YOU SAW ALL 3 TYPES OF TRIANGLES CLASSIFIED BY ANGLES. ^WOULD YOU LIKE TO SEE THEM AGAIN?"12:9:"(^TYPE '^Y' OR ':"'S.":11000:62450ERX100:RY72:SX150:SY72:TX190:TY35:1508:"^THIS IS AN OBTUSE TRIANGLE.":"^THE REASON SHOULD BE OBVIOUS.":"^YOU WILL NOTICE THAT THERE IS ONE OBTUSE ANGLE.":11000ZZ12:HC13:HC:190,35150,72100,72101,72TRIANGLE CONTAINS ONE RIGHT ANGLE.".11000ZZ12:HC57:HC:80,3580,72130,72131,7281,7281,35:80,6885,6885,7286,7286,68:13999:::150008:"^BESIDES THE RIGHT ANGLE, OF COURSE, A RIGHT TRIANGLE HAS 2 ACUTE":H30:V9:9000:9:3262450:r345:RX80:RY72:SX130:SY72:TX105:TY35:150|w8:"^THESE ARE BOTH ACUTE TRIANGLES.":16:8:R15:10000:L$z10:"^AN ACUTE TRIANGLE HAS THREE ACUTE ANGLES.":11000:62450|8:"^THIS IS A RIGHT TRIANGLE.":350#}10:"^A RIGHT 0:cOBTUSE TRIANGLEJdRX160:RY72:SX210:SY72:TX250:TY35:150:]h345:350:355oi11000:15000m8:"^TRIANGLES ARE CLASSIFIED ACCORDING TO THEIR ANGLES, AND ACCORDING TO THEIR SIDES."::"^FIRST WE'LL EXAMINE ANGLE CLASSES.":11000:EANS THREE ANGLES.":1:10:R8:10000:L$:16:10:R12:10000:L$mT"^TRIANGLES COME IN DIFFERENT SHAPES."vV360Y SCALENE TRIANGLEZRX0:RY72:SX50:SY72:TX10:TY35:150\^RIGHT TRIANGLE_RX80:RY72:SX130:SY72:TX80:TY35:15POLYGONS."">ZZ12:HC13:HCV@13998:RX50:RY55:SX100:SY55:TX75:TY0:150kA:CH751:CHsBCHEQA140:QB0:LH100:LV55:30H13999:::11000:62450J8:"^THE SIMPLEST OF ALL POLYGONS IS THE TRIANGLE."AO10:"^TRIANGLE M:"^GONIA MEANS ANGLES.":1:5:R7:10000:L$:1:11:R5:10000:L$:1:12:R5:10000:L$:11000:62450 ;5:"^THE SIDES OF A POLYGON ARE LINE SEGMENTS."::"^EACH POLYGON HAS THE SAME NUMBER OF SIDES AS IT HAS ANGLES.":11:"^HERE ARE TWO FAMILIAR 3,146 237547& A:(4);"RUNLOGO", P2  4 10002::230,32:62450:230,64:62450> 1012,0T(4);"MAXFILES1"w:(4);"BLOAD SHP.BIN,A38315"(4);"BLOAD PRT.BIN"#:(4);"BLOAD GEO.SH,A37547"&:(4);"BLOADSOUND"':(4);"BLOADPLOT.BIN,A25253" (232,171:23 142:BX40:BY142:CX52:CY164:DX0:DY164:200k17:7:8:"^THE ^ETERNAL ^TRIANGLE":13995:11000:6245065:"^POLYGON IS THE NAME GIVEN TO A MANY SIDED CLOSED FIGURE.":8:"^THE NAME IS DERIVED FROM TWO ^GREEK WORDS:"g811:"^POLYS MEANS MANY."54:SX172:SY54:TX136:TY0:150C$114,27122,27:158,27150,27d%136,51136,57137,57137,51j&,6:QA0:QB0:LH24:LV30:30-5:RX233:RY165:SX277:SY157:TX255:TY144:150.1:QA220:QB15:OFFSET15:LV18:LH25:80./2:AX16:AYWASN'T TOO OBTUSE FOR YOU.":11000:624502*290*Q$"^THIS TRIANGLE IS MARKED AS BEING":Q1$"ISOSCELES.":Q2$"EQUIANGULAR.":Q3$"EQUILATERAL.":A$"C":EX2`+H$"^THE TRIANGLE IS ^M^A^R^K^E^D EQUILATERAL. ^THE SINGLE MARK ON EACH SIDE MEANS THE TR190,30139,80:13999::)8:"^DRAW ANY TRIANGLE YOU LIKE, USING A RULER. ^THEN CUT IT INTO 3 PARTS. ^THE ANGLES, PLACED NEXT TO EACH OTHER WILL FORM A STRAIGHT ANGLE.":11000:62450)*5:"^WHEW! ^WE SURE HAVE COVERED A LOT. ^LET'S HOPE IT NGLES PUT TOGETHER MAY MAKE AN ISOSCELES RIGHT TRIANGLE.":11000:15000(ZZ12:HC57:HC:80,80139,80139,0140,0140,80:13999::(ZZ12:HC57:HC:139,0139,80190,30191,30140,80:13999::)ZZ12:HC57:HC:199,80140,80191,30TOTAL 180 DEGREES!":11000:62450N'80,80199,80:139,0139,80140,80140,0~'134,80134,75135,75135,80:134,75139,75'140,80190,30191,30141,80G(8:"^OF COURSE, 180 DEGREES IS ALSO THE DEGREE MEASURE OF A STRAIGHT ANGLE. ^THESE THREE A50b&l5:"^WOULD YOU LIKE TO SEE THE SECTION ABOUT CLASSIFYING TRIANGLES BY SIDES AGAIN?"&q12:9:"(^TYPE '^Y' OR '^N'.)":9500&v345:350:355!'{8:"^NO MATTER WHAT A TRIANGLE'S SHAPE, THE MEASURES OF ALL THE ANGLES IN A TRIANGLE MUST N WORDS: ^AEQUUS MEANS EQUAL.":"^LATUS MEANS SIDE.":11:9:R6:10000:L$:12:1:R5:10000:L$z%b290:11000:15000&g8:"^AN EQUILATERAL TRIANGLE IS ALSO EQUIANGULAR!":11:"^THAT MEANS ALL ITS ANGLES ARE EQUAL IN MEASURE.":11000:624SE!":H7:V11:12000:11:15:R10:10000:L$j$S12:"(^PRONOUNCE THAT HI-^P^O^T' IN-OOS.)":11000:62450$X8:"^THE LAST TYPE OF TRIANGLE WE SHALL LOOK AT IS CALLED EQUILATERAL.":9:19:R11:10000:L$c%]10:"(^E^E' KWI-^L^A^T' ER-UL) FROM 2 ^LATI:"^N^O AND ^O^P ARE ^N^O^P'S LEGS.":H15:V11:12000:11000:15000#IZZ12:HC57:HC:75,3155,73156,7376,3:13999::,$N8:"^THE SIDE OF A RIGHT TRIANGLE THAT IS OPPOSITE THE RIGHT ANGLE HAS A SPECIAL NAME.":"^N^P IS ^N^O^P'S HYPOTENUC:75,6881,6881,7382,7382,68:13999::h"?11:"^THAT MAKES ^N^O^P AN ISOSCELES RIGHT TRIANGLE.""@H12:V11:12000:11000:15000E#D8:"^THOSE SIDES OF ANY RIGHT TRIANGLE NOT OPPOSITE THE RIGHT ANGLE ARE KNOWN AS ITS ";(34);"LEGS.";(34)ED IN THE SAME WAY MEANS THEY ARE THE SAME LENGTH.":11000:15000O!/15200!0ZZ12:HC57:HC:71,3879,38:110,70110,70111,76111,70:13999::!58:"...AND, OF COURSE, YOU RECOGNIZED THE RIGHT ANGLE SYMBOL.":11000+":ZZ12:HC57:H000:EX2 &Q$"^THIS TRIANGLE APPEARS TO BE":Q1$"A RIGHT TRIANGLE.":Q2$"AN ISOSCELES TRIANGLE.":Q3$"BOTH OF THE ABOVE.":A$"C":KP2:7000 +8:"^I KNOW THAT WAS SNEAKY!!"D!.:13998:13998:10:"^THE FACT THAT BOTH LEGS, ^N^O AND ^O^P":"ARE MARKARE NOT YET CONFUSED, TAKE A GOOD LOOK AT THIS TRIANGLE."sRX74:RY3:SX74:SY73:TX155:TY73:15075,6881,6881,7382,7382,6871,3879,38:110,70110,70111,76111,709:1:"^N":6:9:"^O"21:6:"^P" !11000:15D ICE-^A^H' SUH-LEEZ.)w11000:15000:8:"^S^T AND ^S^U ARE KNOWN AS THE ";(34);"LEGS";(34);" OF THE TRIANGLE."11:"^T^U IS THE TRIANGLE'S ";(34);"BASE.";(34) "^THE BASE IS THE NON-EQUAL SIDE.":11000:62450F8:"^JUST IN CASE YOU ^S^T.":A$"C":H$"":EX2.KP1:7000:EX0|ZZ12:HC13:HC:AX90:AY80:BX125:BY17:CX160:CY80:235:13999::8:" ^S^T^U IS CALLED AN ISOSCELES TRIANGLE.":H1:V8:12000:9:1:R9:10000:L$11:"(^IT'S PRONOUNCE22:6:"^U"16:1:"^S"{8:"^A TRIANGLE IS NAMED BY 3 UPPER-CASE LETTERS. ^T^S^U HAS 2 SIDES OF EQUAL LENGTH."V9:H10:1200011000:15000Q$"^WHICH ARE THE 2 EQUAL SIDES?":Q1$"^T^U AND ^U^S.":Q2$"^S^T AND ^T^U.":Q3$"^S^U AND:HC:100,30100,85:101,85101,30:13999::mZZ12:HC57:HC:100,85220,85221,85101,85:13999::ZZ12:HC57:HC:220,85100,30101,30221,85:13999:::11000:62450RX90:RY80:SX160:SY80:TX125:TY17:15011:6:"^T" 11000:714003 ** CORRECT ANSWER ROUTINE **M3R((1)9)1:RRR7100Y3P(KP)1b3RRR3R7121,7122,7123,7124,7125,7126,7127,7128,712933R$"^HEY, THAT'S RIGHT!":71303R$"^OH, YOU KNOW ALL THE ANGLES!":71304R$"^WOW! ^YOKP)02Y7:Q$;2\8:"(A) ";Q1$:"(B) ";Q2$:"(C) ";Q3$2b12:"^TYPE IN THE CORRECT LETTER...":3:" THEN PRESS <^R^E^T^U^R^N>.":72002lB$A$71002u *** INCORRECT ANSWER ROUTINE ***2v15100 312:6:"^THE CORRECT ANSWER IS (";A$;").":PRINT POINTERS BACK TO NORMAL TEXTN154,189:55,158:43603,240:43604,253:1 THIS SUBROUTINE SETS PRINT POINTERS TO HI-RES SCREEN154,237:55,148:43603,237:43604,148:116100:1V H$ IS A ONE LINE HINT1W QUIZ ROUTINE* * 2XP( TRIANGLES. ^MAYBE WE CAN MEET LATER AT THE TOWN SQUARE.":11000:6245006:6:"^SEE YOU NEXT LESSON!":13998:139980T17:KTKTP(T):T:765,KT01000::(4);"RUN FILER":7500999"1 THIS SUBROUTINE SETS ENUSE.":Q3$"2 ACUTE ANGLES.":A$"B":EX2/H$"^EVERY TRIANGLE HAS 2 ACUTE ANGLES. ^SOME TRIANGLES HAVE 3. ^HYPOTENUSE IS THE NAME OF THE SIDE OPPOSITE THE RIGHT ANGLE.":KP7:7000d011000:62450:5:"^WELL, THAT'S ALL ^I KNOW ABOUT DEGREES.":A$"A":EX0.H$"^A TRIANGLE'S DEGREE MEASURE SUMS TO A STRAIGHT ANGLE (180 DEGREES). ^IN ANY TRIANGLE THE LARGEST SIDE IS ALWAYS OPPOSITE THE LARGEST ANGLE.":KP6:7000.350*/Q$"^ONLY A RIGHT TRIANGLE HAS":Q1$"LEGS.":Q2$"A HYPOT":EX2-H$"^A TRIANGLE WITH TWO LEGS EQUAL IN LENGTH IS ISOSCELES. ^THE ANGLES OPPOSITE THE LEGS ARE ALSO EQUAL IN MEASURE.":KP5:7000-11000:62450.Q$"^THE SUM OF A TRIANGLE'S ANGLES IS":Q1$"180 DEGREES.":Q2$"270 DEGREES.":Q3$"360 ED AS EQUAL, SO YOU MAY CONCLUDE THAT THE TRIANGLE IS SCALENE.":KP4:7000:11000:62450,RX90:RY80:SX160:SY80:TX125:TY17:150:107,45114,45:138,45145,45-Q$"^THIS TRIANGLE IS MARKED AS":Q1$"ISOSCELES.":Q2$"SCALENE.":Q3$"OBTUSE.":A$"AIANGLE IS EQUILATERAL. ^WHILE IT ALSO IS EQUIANGULAR, IT IS THE SIDES ALONE THAT ARE MARKED!"}+KP3:7000:11000:62450+350+Q$"^THIS RIGHT TRIANGLE IS ALSO":Q1$"ACUTE.":Q2$"SCALENE.":Q3$"ISOSCELES.":A$"B":EX2Z,H$"^NO LEGS ARE MARKNX,PY:MXMX1:NXNX1::25581:4:"<":35:4:">"~8:"^A LINE IS NAMED BY ANY TWO POINTS THAT ARE ON IT.":13995PX50:190:PX204:1905:7:"^R":5:26:"^S"1113995:"^THIS IS LINE ^R^S.":"^IT MAY ALSO BE CALLED LINE ^AW AN ENDLESS LINE, BUT WE CAN REPRESENT ONE."a0:PX,PY1:PX,PY1:PX1,PY1:PX1,PY1:7|1:4:"<":35:4:">"11:"^THE ARROWHEADS SHOW THAT THE LINE CONTINUES FOREVER.":11000:150007:PX,PY:10:MXPX1:NXPX1:N1138:MX,PY::11000:150008L"^A LINE IS AN INFINITE SERIES OF POINTS."10:"^INFINITE MEANS WITHOUT END.":10:1:R8:10000:L$:10:16:R11:10000:L$12:"^BUT THIS LINE DOESN'T LOOK ENDLESS!":11000:15000/8:"^IN FACT, WE CANNOT DR49:PX138:190:13995t"^THEN WE MAKE AN INFINITE SERIES OF POINTS IN OPPOSITE DIRECTIONS...":11000:15100{510:MXPX1:NXPX1N1138:MX,PY:NX,PY:MXMX1:NXNX1::255711000:15100:11:"...A LINE WOULD BE FORMED."13995;w9:"^HERE ARE POINTS ^A, ^B, ^C, AND ^D.":13995|11:"^REMEMBER, DOTS REPRESENT POINTS.":R9:11:16:10000:L$"^A REAL POINT OCCUPIES NO SPACE!":23:12:R2:10000:L$:11000:624508:"^SUPPOSE WE START WITH A POINT.":13995:PYA POINT WITH A DOT.":3:4:".":13995:11000:15000h8:"^A POINT IS NAMED BY A SINGLE UPPER-CASE LETTER.":13995:4:4:"^A":13995m11:"^HERE IS POINT ^A.":11000:15000r6:9:".^B":15:1:"^C":15:2:".":27:6:"^D.":0:N1350:::11000:62450T5:"^UNLIKE THIS SCREEN, HOWEVER,"::"A PLANE GOES ON AND ON FOREVER..."::"...IN ALL DIRECTIONS!":11000:62450^8:"^A LOCATION OR POSITION ON A PLANE IS CALLED A POINT.":c11:"^IN GEOMETRY, WE REPRESENT 130:Y240:140D&130,40160,10155,10160,10160,15161,15161,10U&7:10:"^F"&8:"^TWO RAYS WITH THE SAME ENDPOINT FORM AN ANGLE.":"^F, THE ENDPOINT OF BOTH RAYS, IS CALLED THE VERTEX OF THE ANGLE.":11:12:R6:10000:L$'11000:1:"^LOOK AT SEGMENTS ^J^K AND ^W^X.":"^THEY ARE NOT PARALLEL.":13995:11:"^IF THE SEGMENTS WERE EXTENDED THEY WOULD INTERSECT.":11000:15200%5:121,36216,63%112,49208,33:7:255:11000:62450%16000:1682,88:16100&X182:Y188:X2к"(^THAT MEANS THEY CROSS EACH OTHER.)":"^THEY ARE NOT PARALLEL.":11000:62450o$ZP13:PZ57:13999:PZ$X124:Y17:X2120:Y235:140$X116:Y165:X2112:Y249:140$3:1:"^J":1:5:"^W"$16:2:"^K":$16:5:"^X"$:%8Y ALSO BE PARALLEL.":11000:62450.#ZP13>#PZ13:PZ_#X110:Y17:X2115:Y243:140#X115:Y163:X2116:Y221:140#1:1:"^L":16:2:"^P"#1:5:"^D"#16:4:"^M"#13999#:P$8:"^SEGMENTS ^L^M AND ^P^D INTERSECT.":0"8>""^THIS SYMBOL MEANS ";(34);"IS PARALLEL.";(34)"15:10:"^B^R":5:16000:6129,143:6130,143:16100:10:18:7:"^E^G.""12:"^THAT MEANS ^B^R IS PARALLEL TO ^E^G.":11000:15000"#8:"^SEGMENTS MAY BE PARALLEL.":10:"^RAYS MA0:7!!6:3:"^B":25:3:"^R">!8:4:"^E":27:4:"^G"!8:"^LINES ^B^R AND ^E^G DO NOT CROSS.":13995:"^NO MATTER HOW FAR THEY ARE EXTENDED THEY WILL NOT CROSS.""11:"^B^R AND ^E^G ARE PARALLEL LINES.":11:15:R8:10000:L$:11000:1500 CASE LETTERS. ^HENCE, THIS IS RAY ^G^F."6 jEX1@ l7000I mEX0 q16000:32:1:197,43:16100:X197:Y143:X2196:Y243:140:13:3:"^F":25:3:"^G" v11000:62450!{16000:7:32:17135,56:0:17135,56:17120,41:32:17120,41:16104:"^F":25:4:"^G"wbQ$"^THE CORRECT NAME FOR THIS FIGURE IS":Q1$"RAY GF.":Q2$"RAY ^F^G.":Q3$"RAY ^G^F.":A$"C", gH$"^REMEMBER, A RAY IS NAMED FIRST BY ITS ENDPOINT, AND THEN BY ANOTHER POINT ON IT. ^BOTH MUST BE UPPERRAY'S NAME TELLS ITS DIRECTION.":13995:10:"^THIS IS RAY ^P^Q. ^IT IS NOT RAY ^Q^P.":"^RAY ^Q^P WOULD HAVE ITS END AT ^Q, AND":"WOULD POINT THE OPPOSITE WAY."N11000:62450X16000:32:1:197,57:16100:X197:Y157:X2196:Y257:140]13::3:8:10000:L$:139959516000:1:1:195,57:16100h:11000:15100:X153:Y157:X295:Y257:140?7:4:"^P":4:12:"^Q"D11:"^A RAY IS NAMED BY ITS ENDPOINT AND ANOTHER POINT ON IT.":11000:15000I8:"^UNLIKE LINES AND SEGMENTS, A T.":Q2$"SEGMENT.":Q3$"LINE.":A$"A":H$"^A POINT IS NAMED BY A SINGLE UPPER CASE LETTER. ^TWO UPPER CASE LETTERS ARE USED TO NAME LINES AND/OR SEGMENTS.":700008:"^A RAY HAS A DEFINITE STARTING POINT BUT THEN GOES ON INFINITELY.":R3INITE MEANS":Q1$"HAS NO ENDPOINTS.":Q2$"HAS NO END.":Q3$"IS VERY, VERY LONG.":A$"B"!H$"^INFINITE MEANS ENDLESS. ^LINES ARE INFINITE. ^SO IS THE SET OF ALL NUMBERS.":7000&Q$"^IN GEOMETRY, ^H COULD NAME A":Q1$"POINR":24:4:"^V"1X160:Y148:X2180:Y248:140Q$"^R^V REPRESENTS A":Q1$"LINE.":Q2$"POINT.":Q3$"SEGMENT.":A$"C":H$"^A LINE SEGMENT HAS TWO ENDPOINTS. ^A LINE, ON THE OTHER HAND, HAS NO ENDPOINTS, BUT IS INFINITE."7000WQ$"^INF99:Y1125:X2219:Y2125:140:13999:`10:"^HERE ARE SEGMENTS ^U^V, ^M^N, AND ^I^K.":13995 11:"^A SEGMENT'S ENDPOINTS NAME IT. ^THE ORDER DOES NOT MATTER.":11000:624506:"^LET'S TAKE A MOMENT TO REVIEW.":11000:624507:4:"^9:"^M":19:5:"^N"212:9:"^I":29:9:"^K">HC13HC:X13:Y155:X2100:Y255:140:X135:Y1126:X2140:Y265:140:X199:Y1125:X2219:Y2125:140:13999:HC57:%HC:X13:Y155:X2100:Y255:140:X135:Y1126:X2140:Y265:140:X1S^R.":11000:624503:"^SINCE LINES ARE LONGER THAN ANY"::"REAL OBJECTS, THEY ARE MORE "::"INTERESTING THAN THEY ARE USEFUL.":11000:624502:"^WE ARE MUCH MORE USED TO SEEING":"LINE SEGMENTS:":13995:1:5:"^U":13:5:"^V"4:^D":20:2:"^E".-L16:5:"^M":32:5:"^N"-MEX1:Q$"^M^N AND ^D^E REPRESENT A PAIR OF":Q1$"PARALLEL LINE SEGMENTS.":Q2$"PARALLEL LINES.":Q3$"INTERSECTING LINE SEGMENTS.":A$"A".OH$"^PARALLEL LINES, SEGMENTS, AND RAYS ARE IN THE SAME PLANE, ^THIS ANGLE IS ^V^W^R OR ^R^W^V."a,A7000:1:8:"^V":3:20:"^W":6:8:"^R",B66,3150,3566,80:69,066,366,6:66,7766,8070,80,CEX0:11000:62450,HX134:Y120:X2150:Y220:140:X1130:Y167:X2245:Y267:140-J4:2:"566,80+:69,066,366,62+;66,7766,8070,80<+<EX1+>Q$"^THIS ANGLE MIGHT PROPERLY BE NAMED":Q1$"^V^R^W.":Q2$"^R^W^V.":Q3$"^R^V^W.":A$"B"2,@H$"^THE VERTEX OF AN ANGLE MUST ALWAYS BE IN THE CENTER OF THE 3 LETTERS USED TO NAME IT. LLEL.":A$"C"*/H$"^PARALLEL LINES ARE TWO LINES IN THE SAME PLANE WHICH DO NOT MEET, NO MATTER HOW FAR THEY ARE EXTENDED. ^RAYS AND SEGMENTS MAY ALSO BE PARALLEL."*07000*316100*41:8:"^V":3:20:"^W":6:8:"^R"+966,3150,3TEX IS ALWAYS IN THE CENTER.)":11000:62450) 3:"^NOW IT'S TIME FOR A SHORT REVIEW.":5:"^THAT WAY WE'LL SEE WHETHER YOU":7:"KNOW ALL THE ANGLES.")!11000:62450 **Q$"^TWO LINES WHICH NEVER MEET ARE":Q1$"PERPENDICULAR.":Q2$"RAYS.":Q3$"PARA7( 11000:15000k(8:"^IT IS COMMON, AND OFTEN NECESSARY, TO NAME AN ANGLE WITH 3 LETTERS.":13995(16000:5188,143:5190,143(520,158:521,158:16100,)10:"^NAMED THAT WAY, THIS IS ^T^F^H,":"OR ^H^F^T. (^NOTICE THAT THE":"VER5000'1:7:20:"^H",'16:3:"^T":7'8:"^AN ANGLE MAY BE NAMED BY ITS VERTEX ALONE. ^SO THIS MAY BE CALLED ^F."' 16000:5238,128:5239,128:16100' 11:"^THE SIGN IS THE SYMBOL FOR ANGLE.":16000( 5:527,158:528,158:16100:M TIME DELAY:7T110000::;::YY101:YY,0,191,40,0:W::YY120:YY,0,191,40,0:q::YY0:YY,0,191,29,0:::YY44:YY,0,191,29,0:::YY162:YY,0,191,39,0::`;YY178:YY,0,191,39,0::;YY86:YY,0,191,39,0::>233,146:232,171:;>232SPACE TO ^CONTINUE)":AC$59h+AC$(3)ER255:20010I9k+AC$" "11100X9p+38219,8:g9.V(V15)7x9.H(H7.8)29.16000:0:1:12H,V:12H1,V:16100:96T1500::96 VERY SHORT TIME DELAY96T1250::96T12000:: :7 MEDIU0: 8:%9500/8'L$"":T1R:L$L$(95):T:F8*16368,0:38219,7M8*68+13:2:"(^PRESS ^SPACE ^BAR TO ^CONTINUE.)":7:AC$8+AC$(3)ER255::200108+AC$" "110008 +38219,8:15200:8\+16368,0:38219,78^+79f+13:"(^PRESS ^T (H,T) WHERE H=HTAB AND V = VTAB VALUES.87(#V(V15)7G7)#H(H7.8)q7*#16000:0:1:5H,V:5H1,V:16100:7% YES/NO ROUTINE * * * FILL IN NUMBER IN 95107%16368,0:AC$7!%AC$(3)ER255::200107&%AC$"Y"Č62450:43080%AC$"N"Č624510000:L$6%B$/6(B$(3)ER255::20010G6*B$(8)B$""7205_6/B$"A"B$"C"7205o6211:29:B$x64RT$66RT$(3)ER255::2001069RT$(8)Ē0:11:29:B$:7:72056>RT$(13)72206C)7'# THIS SUBROUTINE DRAWS ANGLE SIGN A);"RUN MGMT":10000"S WOULD BE PROUD!":7130515100:CB(((1)65)64):CDCB:NN13:CHCD3232:768,CH:769,CH2:770::CDCB::12:R$:13999:110005EX2İ15300:7:H$:562450:7:H$:EX1ı513999:11000:62450:5 INPUT ROUTINE 6 28:11:R3:U'RE NO SQUARE!":7130>4R$"^IS SOMEONE HELPING YOU?":7130p4R$"^DARN! ^I THOUGHT ^I'D FOOL YOU!!":71304R$"^YOUR THOUGHTS PARALLEL MINE!":71304R$"^I SEE YOU GOT THE POINT!":71304R$"^YOU ARE REALLY ACUTE!!":71305R$"^PYTHAGORA---=<<<555=>>>%%%%%%%%%%%%%%%%%%%%%%%%%%%/5'%%%%%%%%%%%%%%%%%??--56FIL,R";SI LN$,NA$/ T14:P(T),A(T):TI (4);"CLOSE STUDFIL"O $m (4);"OPEN STUDFIL,L";RL (4);"WRITE STUDFIL,R";SI LN$:NA$ T14:P(T):A(T):T (4);"CLOSE STUDFIL" P(OP)(765):A(OP)A(OP)1: ':(4 10000 F I L E R )RL553 ::W12:9:"ONE MOMENT, PLEASE..."eOP(766)SI(767):1000:4000:3000P(OP)79ĺ:(4);"RUN REWARD":30(:(4);"RUN MGMT":40(4);"OPEN STUDFIL,L";RL (4);"READ STUD :YY44:YY,0,191,29,0:4::YY162:YY,0,191,39,0:P:`;YY176:YY,0,191,40,0:h:>233,146:232,171::>232,171:233,149:1:0:7:2000:: NER(222):*NER255İ1000::(4);"RUNEA MENU":4N" "111009p+38219,8:)96T1500::E96 VERY SHORT TIME DELAYV96T1300::n96 SHORT TIME-DELAY96T15000::97 MEDIUM TIME DELAY97T110000::9:YY101:YY,0,191,40,0:9:YY120:YY,0,191,40,0:9:YY0:YY,0,191,29,0::68,0:38219,78*6M8+13:2:"(^PRESS ^SPACE ^BAR TO ^CONTINUE.)":7:AC$k8+AC$(3)ER255::200108+AC$" "110008 +38219,8:8\+16368,0:38219,78^+78f+13:"(^PRESS ^SPACE TO ^CONTINUE)":AC$8h+AC$(3)ER255:20010 9k+AC$000:L$7%B$,7(B$(3)ER255::20010D7*B$(8)B$""7205\7/B$"A"B$"C"7205l7211:29:B$u74RT$76RT$(3)ER255::2001079RT$(8)Ē0:11:29:B$:7:72057>RT$(13)72207C7'L$"":T1R:L$L$(95):T: 8*163713006R$"^PYTHAGORAS WOULD BE PROUD!":7130615100:CB(((1)65)64):CDCB:NN13:CHCD3232:768,CH:769,CH2:770::CDCB::12:R$:13999:11000662450:7:H$:EX1ı613999:11000:62450:6 INPUT ROUTINE7 28:11:R3:107130.5R$"^WOW! ^YOU'RE NO SQUARE!":7130V5R$"^IS SOMEONE HELPING YOU?":71305R$"^DARN! ^I THOUGHT ^I'D FOOL YOU!!":71305R$"^YOUR THOUGHTS PARALLEL MINE!":71305R$"^I SEE YOU GOT THE POINT!":71306R$"^YOU ARE REALLY ACUTE!!":ECT ANSWER IS (";A$;").":11000:7140I4 ** CORRECT ANSWER ROUTINE **f4R((1)9)1:RRR7100o4RRR{4KTKT14R7121,7122,7123,7124,7125,7126,7127,7128,712944R$"^HEY, THAT'S RIGHT!":71305R$"^OH, YOU KNOW ALL THE ANGLES!":3W QUIZ ROUTINE* * 3X)3Y7:Q$T3\8:"(A) ";Q1$:"(B) ";Q2$:"(C) ";Q3$3b12:"^TYPE IN THE CORRECT LETTER...":3:" THEN PRESS <^R^E^T^U^R^N>.":72003lB$A$71003u *** INCORRECT ANSWER ROUTINE ***3v15100%412:6:"^THE CORR0A2 THIS SUBROUTINE SETS PRINT POINTERS BACK TO NORMAL TEXTm254,189:55,158:43603,240:43604,253:2 THIS SUBROUTINE SETS PRINT POINTERS TO HI-RES SCREEN254,237:55,148:43603,237:43604,148:216100:3V H$ IS A ONE LINE HINT:3:23:"^E"*16:"^WELL,WELL!":13995L18:"^WILL YOU LOOK AT THAT!"110:"^IT SEEMS THERE'S A RAY OF HOPE FOR YOU AFTER ALL.":11000162450:7:7:"^SEE YOU NEXT LESSON!"113995:13995:10001765,KT2:(4);"RUN FILER":99PIES NO SPACE. ^THEN NEITHER SEGMENTS NOR LINES OCCUPY ANY SPACE."R0a7000t0X160:Y143:X2100:Y243:1400X1100:Y143:X2140:Y243:140:X1140:Y143:X2180:Y243:140016000:1180,43:1610003:8:"^H":3:13:"^O" 13:18:"^P":"^E":16:5:"^M":32:5:"^N"7/S11000:62450:EX0/WQ$"^WHICH TAKES UP MORE SPACE?":Q1$"^A LINE.":Q2$"^A LINE SEGMENT.":Q3$"^NEITHER.":A$"C"H0\H$"^LINES AND LINE SEGMENTS ARE SETS OF POINTS. ^REMEMBER, A POINT IS A LOCATION. ^IT OCCU AND DO NOT INTERSECT. ^A RAY HAS ONE ENDPOINT, AND A LINE HAS NONE. ^M^N AND ^D^E HAVE ENDPOINTS AND DON'T MEET. ^THEY ARE PARALLEL SEGMENTS.".PEX1:7000:EX0.QX134:Y120:X2150:Y220:140:X1130:Y167:X2245:Y267:140 /R4:2:"^D":20:2E STUDENT INFORMATION":"ON THE DISK, THE 'WRITE PROTECT' TAB" nF"MUST BE REMOVED. PLEASE REMOVE THE":"TAB, AND THEN REINSERT THE DISK INTO" xF"THE DISK DRIVE. IT IS NOT NECESSARY":"TO TURN OFF THE COMPUTER AT THIS TIME."G!F:"WHEN YOU ARE DON>hB767,SI:766,0:765,0:-PFERR(222)8SF216,0OUF(4);"CLOSE ";FI$WFERR9ĉ::"THE DISK IS FULL. NO OTHER FILES MAY":"BE SAVED UNLESS THE PURGE OPTION IS":"USED.":11000:XFERR255ĬZFERR4Ĭ> dF::"IN ORDER TO STOR)2D2::40):2o6 GEOMETRY BASICS,LEARNING THE ANGLES,THE ETERNAL TRIANGLE,FEARSOME FOURSOME>9);"EDUCATIONAL ACTIVITIES INC.">:14);"GEOMETRY ALIVE!":11);"GEOMETRY FUNDAMENTALS"::6);"(C) 1984 ACTIVITY RECORDS, INC."E ATTEMPTS":@2:KA1015:KA:23:" ";:31:" ";:KA::1O211:D14x2TI$(D);:P(D)1Ė26:"---";:130302P(D)((P(D)S(D).005)100)2P(D)100Ė25:P(D);"%";:130302P(D)10Ė27:P(D);"%";:13030226:P(D);"%";236:A(D---";:12030-.P(D)((P(D)S(D).005)100)\.P(D)100ĺ25(TI$(D)));P(D);"%";:12030.P(D)10ĺ27(TI$(D)));P(D);"%";:12030.26(TI$(D)));P(D);"%";.7((A(D)))(P(D)1));A(D)/D/29::" SCORK$(3)Ĭ**:K$" "Ģ23:958:110000*`+23:" (PRESS THE SPACE BAR TO CONTINUE)";s+A$:A$(3)Ĭ +A$" "Ģ23:958::11010 +.:" SCORE ATTEMPTS".:D14 .TI$(D);:P(D)1ĺ25(TI$(D)));"Z"10010.'(N$)MAX10010G8'X1X11:Y:X1:AA$;:N$N$AA$:10010ZL'(N$)010010V'(N$)1ĢY:X1:" ";(8);:X1X:N$"":10010`'N$(N$,(N$)1):Y:X1:" ";(8);:X1X11:10010 *16368,0:23:" (PRESS THE SPACE BAR TO CONTINUE)";:K$:AME AND"::"PRESS ";::"RETURN";::">":X14:Y17:MAX15:10000:LL$N$N<#i'X1X:N$"":Y:X:" ";|'16368,0:AA$%'N$""AA$(13)10010''AA$(13)ĺ:)'AA$(8)10060*'AA$"a"AA$"z"AA$((AA$)32):10030+'AA$"A"AA$"K$"2"NN0:1010:8120&2000<NF1NF0:20000q:14:"THE FILE HAS BEEN PURGED.":11000:20000(#::"TYPE THE STUDENT'S FIRST NAME AND"::"PRESS ";::"RETURN";::">":X14:Y13:MAX15:10000:FF$N$H2#:"TYPE THE STUDENT'S LAST NTK$"2"8100#^::34,9:9000nh::"THE STUDENT YOU WANT PURGED FROM THE"::"FILE IS: ";FF$;" ";LL$r15:"IS THIS CORRECT? (Y OR N)";:Z$:Z$"Y"Z$"N"Z$"y"Z$"n"8040|:Z$"N"Z$"n"200008110:14::"PURGING...":??????'$$??$$$$$$L666$$$L666N $$$-----'''''>>>>----%$$????766%%%%%-----=>>>>>????%%%%%--555555=????????%<6%-----------------------------------<6%----------------------''''/....7777--------------------------------------%7.,---------------- NA&FVu '7F\t <6%/-------------=<<<<5555=>>>>$$$,---5666????$$$$$$$--------6666666????????666.-----------%$$$$$$$$$$????????????6666666,,,,,,,7777777---%???$$$$$dI666666??--$$$$46666--='$?$$$$$$$$$$6666666666----------?  SINGLE STUDENT FILE"::"<2> - THE ENTIRE STUDENT FILE"J17:"PLEASE TYPE YOUR SELECTION: (1 OR 2)";:K$::K$"1"K$"2"Ģ17:958:8010O:19:"ARE YOU SURE? (Y OR N)";:Z$:Z$"Y"Z$"y"Z$"N"Z$"n"8015PZ$"N"Z$"n"20000Q?(4);"PR#0"@K1ė:"DO YOU WISH TO SEE ANY OTHER STUDENT"::"FILES? (Y OR N)";:A$:A$"Y"A$"N"A$"y"A$"n"7232BK1(A$"Y"A$"y")ė:34,9:7030H20000@1000:NN0İ3000:200008E::"WOULD YOU LIKE TO PURGE:"::"<1> - A ";FI$;",R";T LN$,NA$3D14:P(D),A(D):DJ (4);"CLOSE ";FI$z%"----------------------------------------"*:4:"STUDENT: ";NA$;" ";LN$9PRİ13000:11000:7230;12000>:T:PRĺ"----------------------------------------""CARD IN SLOT #1."::::"THEN INSERT THE DISK IN THE DISK DRIVE"::"AND START THIS PROGRAM AGAIN."p7122PR(K$)49PR0ĉ::7155:(4);"PR#1"::16000K1āTSISI:7210 T1NN:(4);"OPEN ";FI$;",L";LE:(4);"READ7010K$"1"7128|::"IS YOUR PRINTER CARD IN SLOT #1?"::"(Y OR N)>";:A$:A$"Y"A$"N"A$"y"A$"n"7114A$"Y"A$"y"7128::"REMOVE THE PROGRAM DISK. ";::"TURN OFF"::"THE COMPUTER";::" AND PLACE YOUR PRINTER"f::::::"SEARCHING STUDENT FILE..."::DE1:1100:DE0OSINNİ3100:20000::"WOULD YOU LIKE THE FILE TO APPEAR ON:"::"<1> - THE SCREEN"::"<2> - THE PRINTER"17:"PLEASE TYPE YOUR SELECTION: (1 OR 2)";:K$::K$"1"K$"2"Ģ17:958:00:20000![T14:TI$(T):T:]::"WOULD YOU LIKE:"::"<1> - A SINGLE STUDENT'S FILE"::"<2> - THE ENTIRE STUDENT FILE"b17:"PLEASE TYPE YOUR SELECTION: (1 OR 2)";:K$::K$"1"K$"2"Ģ17:958:7010i:K(K$)lK271007v9000i :14:8:"***********************":8);"* NO STUDENTS ON FILE *":8);"***********************"v 11000: :14:8:"***********************":8);"* STUDENT NOT ON FILE *":8);"***********************"& 11000: X1000:NN0İ30İ3100:NF1:$NN1NN0:1010:@:14::"PURGING...":(4);"OPEN ";FI$;",L";LE:(4);"READ ";FI$;",R";NN:LN$,NA$:T14:P(T),A(T):T(4);"WRITE ";FI$;",R";SI:LN$:NA$:T14:P(T):A(T):T:(4);"CLOSE ";FI$NNNN1:1010:1160 tT:SINN12 yDEĺ(4);"CLOSE ";FI$:v {NNNN1:NS1:(4);"CLOSE ";FI$:1010:(4);"OPEN ";FI$;",L";LE ~(4);"WRITE ";FI$;",R";NN:LL$:FF$:T14:"-1":"0":T:SINN (4);"CLOSE ";FI$: DE1:1100:DE0:NN0İ3000: SINNR0":NN:(4);"CLOSE ";FI$:l (4);"OPEN ";FI$;",L";LE:(4);"WRITE ";FI$;",R0":NN:(4);"CLOSE ";FI$:v L1000 O(4);"OPEN ";FI$;",L";LE QNN01145 VT1NN:(4);"READ ";FI$;",R";T:LN$,NA$ [LL$LN$FF$NA$SIT:D14:P(D),A(D):D:"RETURN";::">"' X14:Y17:100004 LL$N$:q "1100:NS0Ģ21:"THANK YOU! ONE MOMENT, PLEASE...":310 ,21:"WELCOME!!!"::"ONE MOMENT, PLEASE..." 617000 @1:(4);"RUN EA MENU":320 (4);"OPEN ";FI$;",L";LE:(4);"READ ";FI$;","STUDFIL":LE55 MAX15f 12:"PLEASE TYPE YOUR FIRST NAME"::"AND PRESS ";::"RETURN";::">"{ X18:Y14:10000 N$"SCORES"7000 N$"PURGE"8000 FF$N$ :12:"OK, ";N$;"." ::"NOW TYPE YOUR LAST NAME AND"::"PRESS ";:38);::"*";:"*";::38);::"=";:p }"=";::38);::"*";:"*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=":~ 130:150 3:7:"EDUCATIONAL ACTIVITIES, INC."; 5:14:"GEOMETRY ALIVE!":7:11:"GEOMETRY FUNDAMENTALS" 34,9 FI$ 18000 M G M T 6(4);"NOMONC,I,O"VS(1)8:S(2)6:S(3)7:S(4)8` ::Z:"*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=*=";:"=";::38);::"*";d"*";::38);::"=";:"=";::38);::"*";:"*";::38);::"=";' x"=";::         z#x~p?x     ڲ˱Ӡ9̠ Ϡ"ĮԠI ĠӠ4ϮȠԠՠ"ԮΠҠ ̠ Ҡ!ԮΠ"ЮΠ Ġ5Ϡ٠5<62450q@3:2:"^IN THESE LESSONS, WE WILL BE"::2:"CONCERNED WITH PLANE GEOMETRY.":5:17:R5:10000:L$E:2:"^A PLANE IS A FLAT SURFACE,":2:" SUCH AS THIS SCREEN.":11000H15100JTQ17:TQ:TQ4Ē5OQA0:QB0:LH275:LV172:350 5763:"^GEOMETRY IS A WORD THAT COMES FROM TWO ^GREEK WORDS:"::"^GE MEANS EARTH..."::"... AND ^METRIA MEANS MEASUREMENT.":6:1:R2:10000:L$:8:9:R6:10000::L$;:"^GEOMETRY, THEN, MEANS":" EARTH MEASUREMENT!":11000  ' ,6:QA0:QB0:LH24:LV30:30] -5:RX233:RY165:SX277:SY157:TX255:TY144:150 .1:QA220:QB15:OFFSET15:LV18:LH25:80 /2:AX16:AY142:BX40:BY142:CX52:CY164:DX0:DY164:20017:7:10:"^GEOMETRY ^BASICS":13995:11000:624 QUADRILATERAL4 (AX,AY);(BX,BY);(CX,CY);(DX,DY)W AX,AYBX,BYCX,CYDX,DYAX,AY AXAX1:BXBX1:CXCX1:DXDX1:AX,AYBX,BYCX,CYDX,DYAX,AY ONE HUNDRED SQUARES (X/Y=8/7)! QB012614 QA3018915:LH16:LV14:30: 190:PXX2:PYY2:190:X1,Y1X2,Y2( = DRAW TRIANGLE Z (RX,RY);(SX,SY);(TX,TY)w RX,RYSX,SYTX,TYRX,RY RXRX1:SXSX1:TXTX1:RX,RYSX,SYTX,TYRX,RY PX,PYPX1,PY:PX,PY1PX1,PY1:PX,PY1:PX1,PY1  DRAW ANY d ALSO SPECIFY LH AND LV/ nQCQALHOFFSETf xQA,QB(QALH),QBQC,(QBLV)(QCLH),(QBLV)QA,QB QAQA1:QCQC1:QA,QB(QALH),QBQC,(QBLV)(QCLH),(QBLV)QA,QB PLOT A LINE SEGMENT AND ITS ENDPOINTS (X1,Y1);(X2,Y2)" PXX1:PYY1: SPECIFY QA, QB, LH, LVP 2QA,QB(QALH),QB(QALH),(QBLV)QA,(QBLV)QA,QB <QAQA1:QA,QB(QALH),QB(QALH),(QBLV)QA,(QBLV)QA,QB F P DRAW PARALLELOGRAM Z SPECIFY QA,QB AND OFFSET FROM THE VERTICAL FOR THE FIGURE'S OTHER SIDES.2 2000025934% BASICSI38210,14: SET THE SPACING k975,0: RESET TO LOWER CASEq ~ 38219,8 33,36:35,13230,64:62450:1014,165:1015,981:0:7200016100300 DRAW RECTANGLE (                        :17:"OH!":13998:13998:62450)+800h+THIS GOSUB BEGINS AT 700, BUT 699 IS INTEGRAL FOR REPEATS+ROTATES A DRAWN RAY THROUGH 360 DEGREES BY 45'S+1:21:0:"360":7+1:1:"^NUMBER OF DEGREES = ":ND0:1:21:ND+16000,7:0:10:14000V*ZZ12:HC57:HC:100,13100,80182,63183,63101,80101,13:13999::*9:(34);"^SO ARE YOU, ^B^A^C!";(34)*V9:H13:9000:14000*11:"^N^O! ^N^O!! ^N^O!!!":"^NOT COMP^L^IMENTARY! ^COMP^L^EMENTARY!!" +11000:62450:712:H10:9000:12:25:R1:10000:L$7)11000:15000)ZZ12:HC13:HC:AX200:AY80:BX100:BY80:CX182:CY63:235:AX201:AY80:BX101:BY80:CX183:CY63:235::)8:1:(34):8:2:"^YOU'RE LOOKING LOVELY, ^D^A^C!";:(34)*V8:H24:900|H1:V8:9000:V8:H10:9000:V9:H1:9000>(}11000:15200(ZZ12:HC13:HC:100,13100,80200,80201,80101,80101,13:13999::(15000%)11:"^NOTICE HOW THE WORD IS SPELLED. ^C^A^D AND ^D^A^B ARE COMPLEMENTARY!":V12:H1:9000:VMGMT":1000E (4);"RUN LOADER""" BY DAVID ALAN HERZOG"FN11500:] (4);"RUN LOADER"IORY OF HOW ^I CAME TO HAVE THIS RECTANGLE.":9:21:R9:10000:L$%g11:"^DO YOU WANT ME TO TELL YOU THE TALE AGAIN? (^YES OR ^NO?)":9800&&l6:"^WHAT DO YOU THINK WE'D GET IF WE":Q$"MADE THE RECTANGLE EQUILATERAL?":Q1$"^A RHOMBUS.":Q2$"^A SQRALLELOGRAM ARE SUPPLEMENTARY, THE NEXT THING THAT HAPPENED WAS:"V$V11000:15000$XZZ12:HC57:HC:180,65172,65172,72173,72173,65:13999::$]ZZ12:HC57:HC:60,1768,1768,1069,1069,17:13999::D%b8:"^AND THAT'S THE TRUE ST"^BUT IN A PARALLELOGRAM, OPPOSITE ANGLES HAVE EQUAL MEASURE, SO LOOK WHAT HAPPENED:":11000:15000#IZZ12:HC57:HC:180,17172,17172,10173,10173,17:13999::#N8:"^BUT THAT WAS NOT ALL."D$S9:"^SINCE CONSECUTIVE ANGLES IN ANY PA ANGLE!";(34)#"711000:15000":8:"^ACTUALLY, ^I SAID ^I'D PUT ONLY ONE RIGHT ANGLE INTO THE PARALLELOGRAM. ^I DID! ^LOOK!!"";8:22:R3:10000:L$"<11000:15000"?ZZ12:HC57:HC:60,6568,6568,7269,7269,65:13999::g#D8:8:"^BY PUTTING ONE RIGHT ANGLE INTO A PARALLELOGRAM, WE CAN GET A VERY FAMILIAR LOOKING FIGURE."!+QA60:QB10:LH120:LV62:30!011000:15000"58:(34);"^HMM,";(34);" YOU SAY. ";(34);"^I THOUGHT THERE WAS GOING TO BE ONLY ONE RIGHT 180 DEGREES, ^N + ^O = 180 DEGREES ETC."m H22:V11:9000:H27:V11:9000:H9:V12:9000:H14:V12:9000 11000:62450 5:"^WOULD YOU LIKE TO SEE ALL WE JUST LEARNED ABOUT PARALLELOGRAMS AGAIN?" 12:6:"(^TYPE '^Y' OR '^N')":9700g!&E^O^M^E^T^R^Y ^A^L^I^V^E!":10000A 9NP$"BY":X130:YY20:10000o >NP$"^JASON ^A. ^DYLAN":X80:YY20:10000 HNP$"(C) 1984 ^ACTIVITY ^RECORDS, ^INC.":X20:YY34:10000 RND12000:D: 0u 0ı# L'H1PP:R((P$,H,1))31@ V'FL1FL0:RR31:10090V `'R63FL1:10100p j'RX,Y:RX1,Y:XX8 t'H:YY15: >232,171:233,149:1:0:7:2000: N:5 *NT0202:0T,T278T,T:0T,191T278T,191T:T! 4N7:X80:Y50:P$"^G^2000 16100? P$"^EDUCATIONAL ^ACTIVITIES, ^INC.":10000] D12000:D:20000:1000t :(4);"RUN MGMT"} 170 54,189:55,158:43603,240:43604,253:: ROM CHAR 54,237:55,148:43603,237:43604,148:: NEW CHAR 'PP(P$) 'PP1:0Z6OdT064:98,1033T,156:179,10243T,156:knT10156:98,T179,T:rx4T4863:RR.3:116R,T160R,T:T99113:UU.3:101U,T173,T:T99156:II.15:163I,T176I,T:7:Y170:X33   80 ,::[ 1(64266)208Ģ7:"PLEASE MAKE SURE YOUR CAPS LOCK KEY":"IS DOWN." 612:"WOULD YOU LIKE SOUND? (Y/N)";:K$: @K$"Y"K$"N"310 JK$"Y"Ĺ770,173: T770,96: :::12:10:"ONE MOMENT, PLEASE..."::(4);"RUN 1000( iZ$"A"Z$"D"Ģ20:1:958:80A k766,(Z$)64:300:p l12:"HANG ON A MOMENT, WHILE I GET IT..." nZ$"A"ĺ:(4);"RUNBASICS":110 xZ$"B"ĺ:(4);"RUNANGLES":110 }Z$"C"ĺ:(4);"RUNPOLY":110 Z$"D"ĺ:(4);"RUNQUAD":110========================== x A"A --> GEOMETRY BASICS"::"B --> LEARNING THE ANGLES"::"C --> THE ETERNAL TRIANGLE" F:"D --> FEARSOME FOURSOME (QUADRILATERALS)" P:21 d"ENTER THE ";::"LETTER";::" OF YOUR CHOICE>>> ";:Z$ gZ$(3)  :255 E A MENU '::2765,0= 1000E:s"=======================================y#(" EDUCATIONAL ACTIVITIES, INC. 2:" PROGRAM MENU7:9);"GEOMETRY FUNDAMENTALS": <"=============    HAT MEASURED ZERO DEGREES."?1:1:"^NUMBER OF DEGREES = 0"Q11000:150008:"^FINALLY, IMAGINE THAT THE TOP RAY CAN PIVOT AROUND ITS ENDPOINT. ^THAT IS, THE ENDPOINT IS A VERTEX.":11000:15000:7008:"^WOW! ^YOU HAVE SOME IMAGI.":11000:62450:8:"^TRY TO IMAGINE A RAY...":1399516000:0:1150,45:16100:13998:10:"...LIKE THAT ONE.":11000:150008:"^NOW IMAGINE THERE'S ANOTHER RAY EXACTLY ON TOP OF THE FIRST.":11:"^THE TWO RAYS WOULD FORM AN ANGLE T15200bZZ12:HC13:HC:AX200:AY80:BX100:BY80:CX182:CY63:235:13995:::11000:150008:"^ANGLE MEASURE IS EXPRESSED IN UNITS CALLED DEGREES.":9:8:R7:10000:L$11:"^DEGREES OF ANGLE MEASURE IS NOT AN EASY CONCEPT TO UNDERSTAND THE MEASURE OF THE OPENING OF ^D^B^I..."<H3:V9:900011000:15200:ZZ12:HC57:HC:AX200:AY80:BX100:BY80:CX164:CY43:235:13995::15200:11:"...IS GREATER THAN THE MEASURE OF THE OPENING OF ^C^B^I.":H15:V12:9000:11000:"^THIS MAKES THE NEW ANGLE, ^D^B^I."9qH26:V12:9000irAX200:AY80:BX100:BY80:CX164:CY43:235zs22:3:"^D"u11000:15200wZZ12:HC57:HC:AX200:AY80:BX100:BY80:CX164:CY43:235:13995::|11000:15000*8:"^CLEARLY,URED." c7:10:R3:10000:L$PhAX200:AY80:BX100:BY80:CX182:CY63:235{i12:6:"^B":26:6:"^I":24:5:"^C"m11000:15000:8:"^LOOK AT THE SIZE OF THE OPENING OF ANGLE ^C^B^I.":11000:15200%p11:"^SUPPOSE WE ADD THE RAY, ^B^D.": ARROWHEADS ON THE SIDES OF ANGLES. ^IT WILL BE UNDERSTOOD THAT THOSE SIDES MAY BE LENGTHENED OR SHORTENED (AS NEEDED)."[11000:62450^8:"^WHILE IT MAKES NO SENSE TO MEASURE AN ANGLE'S SIDES, THE OPENING OF AN ANGLE CAN BE MEAS960,3556,35oJ11:"^THAT MEANS THAT THERE IS NO POINT TRYING TO MEASURE AN ANGLE'S SIDES.":11000:15000O8:"^THE RAYS MAY BE EXTENDED FOREVER."T10:"^THAT IS SHOWN BY THE ARROWHEADS.":11000:15000Y8:"^FROM HERE ON, WE WILL NOT SHOW5:LV18:LH25:80P/2:AX16:AY142:BX40:BY142:CX52:CY164:DX0:DY164:20017:7:8:"^LEARNING THE ^ANGLES":13995:11000:6245057@8:"^REMEMBER, THE SIDES OF ANY ANGLE ARE RAYS.":13995 E16000:1620,95:16100:20,9560,3560,3,BY) * * AX,AYBX,BYCX,CY& K ONE HUNDRED SQUARES (X/Y=8/7)!\ QB012614 QA3018915:LH16:LV14:30:   ,6:QA0:QB0:LH24:LV30:30 -5:RX233:RY165:SX277:SY157:TX255:TY144:150.1:QA220:QB15:OFFSET1L' (AX,AY);(BX,BY);(CX,CY);(DX,DY)J AX,AYBX,BYCX,CYDX,DYAX,AY AXAX1:BXBX1:CXCX1:DXDX1:AX,AYBX,BYCX,CYDX,DYAX,AY DRAWS AN ANGLE GIVEN COORDINATES OF THREE POINTS. (AX,AY);(BX,BY);(CX,CY) * * VERTEX IS AT (BXY2:190:X1,Y1X2,Y2 0 DRAW TRIANGLE M (RX,RY);(SX,SY);(TX,TY)j RX,RYSX,SYTX,TYRX,RY RXRX1:SXSX1:TXTX1:RX,RYSX,SYTX,TYRX,RY PX,PYPX1,PY:PX,PY1PX1,PY1:PX,PY1:PX1,PY1  DRAW ANY QUADRILATERACIFY LH AND LV" nQCQALHOFFSETY xQA,QB(QALH),QBQC,(QBLV)(QCLH),(QBLV)QA,QB QAQA1:QCQC1:QA,QB(QALH),QBQC,(QBLV)(QCLH),(QBLV)QA,QB PLOT A LINE SEGMENT AND ITS ENDPOINTS (X1,Y1);(X2,Y2) PXX1:PYY1:190:PXX2:PY, QB, LH, LVC 2QA,QB(QALH),QB(QALH),(QBLV)QA,(QBLV)QA,QB <QAQA1:QA,QB(QALH),QB(QALH),(QBLV)QA,(QBLV)QA,QB F P DRAW PARALLELOGRAM Z SPECIFY QA,QB AND OFFSET FROM THE VERTICAL FOR THE FIGURE'S OTHER SIDES. d ALSO SPE-2 2000025934/1014,165:1015,98S38210,14: SET THE SPACING u975,0: RESET TO LOWER CASE{  38219,8 33,36:35,13230,64:62450:1:0:7200016100300 DRAW RECTANGLE ( SPECIFY QAE^O^M^E^T^R^Y ^A^L^I^V^E!":10000A 9NP$"BY":X130:YY20:10000o >NP$"^JASON ^A. ^DYLAN":X80:YY20:10000 HNP$"(C) 1984 ^ACTIVITY ^RECORDS, ^INC.":X20:YY34:10000 RND12000:D: 0u NEA MENU"4NEYY,0,191,40,0:*HYY0:YY,0,191,29,0:ERYY44:YY,0,191,29,0:afYY162:YY,0,191,39,0:}pYY176:YY,0,191,40,0:z233,146:232,171:232,171:233,149:1:0:7:350::(4);"RUN EA MENU" NER(222) *NER255İ330::(4);"RUAC$(3)ER255::200100AC$" "720?38219,8:V16368,0:38219,7] 613:"(^PRESS ^SPACE TO ^CONTINUE)":AC$AC$(3)ER255:20010AC$" "770 38219,8:*N1300::4YY101:YY,0,191,40,0:>YY120:0B$(8)B$""630/B$"A"B$"C"630?11:29:B$HRT$mRT$(8)Ē0:11:29:B$:7:630RT$(13)670L$"":T1R:L$L$(95):T:16368,0:38219,7613:3:"(^PRESS ^SPACE ^BAR TO ^CONTINUE.)":7:AC$ KNEW THAT ONE!!"|D870:CB(((1)65)64):CDCB:NN13:CHCD3232:768,CH:769,CH2:770::CDCB::12:R$:810:720N62450:7:H$:EX1ıX810:720:62450:b INPUT ROUTINEl28:11:R3:710:L$vB${B$(3)ER255::2001R520,530,540,550,560,570#ER$"^HEY, THAT'S RIGHT!":580pR$"^MY GOODNESS, YOU ARE SMART!":580R$"^WOW! ^YOU GOT IT!!":580&R$"^IS SOMEONE HELPING YOU?":5800R$"^DARN! ^I THOUGHT ^I'D FOOL YOU!!":580:R$"^WHEW! ^YOURECT LETTER...":3:" THEN PRESS .":620?B$A$490g *** INCORRECT ANSWER ROUTINE ***p87012:6:"^THE CORRECT ANSWER IS (";A$;").":720:590 ** CORRECT ANSWER ROUTINE **R((1)6)1:RRR490KTKT1RRR320 J5T54,189:55,158:43603,240:43604,253:=^ ih54,237:55,148:43603,237:43604,148:tr900:| H$ IS A ONE LINE HINT QUIZ ROUTINE* * 7:Q$8:"(A) ";Q1$:"(B) ";Q2$:"(C) ";Q3$012:"^TYPE IN THE COR890:32:16140,72:0:16140,72:900:140,72190,22191,22141,72T"720:62450,6:"^WELL, NOW YOU MUST REALLY KNOW ALL THE ANGLES!":720:6245066:8:"^SEE YOU NEXT LESSON!":M11500:;765,KT(765)@330::(4);"RUN FILER":^H":26:6:"^N":24:5:"^J":720:62450 Q$"^SUPPLEMENTARY ANGLES MAY BE":Q1$"BOTH ACUTE.":Q2$"BOTH OBTUSE.":Q3$"BOTH RIGHT.":A$"C":EX1 H$"^TWO RIGHT ANGLES MAKE 180 DEGREES. ^OTHERWISE, IT TAKES ONE OBTUSE AND ONE ACUTE ANGLE.":400DGLE ^H^N^J, THE VERTEX IS AT":Q1$"^H.":Q2$"^N.":Q3$"^J.":A$"B" H$"^THE VERTEX OF AN ANGLE IS ALWAYS THE MIDDLE LETTER OF ITS NAME.":EX1:400) AX200:AY80:BX100:BY80:CX182:CY63:130:AX201:AY80:BX101:BY80:CX183:CY63:130:12:6:" EX1 H$"^THE MEASURE OF AN OBTUSE ANGLE IS GREATER THAN THAT OF A RIGHT ANGLE, BUT LESS THAN THAT OF A STRAIGHT ONE.":400 AX100:AY13:BX130:BY80:CX210:CY80:130:AX101:AY13:BX131:BY80:CX211:CY80:130:720:62450B Q$"^IN ANER THAT COMPLEMENTARY ANGLES ARE ALWAYS RIGHT. (^OF COURSE YOU RECALL THERE ARE 90 DEGREES IN A RIGHT ANGLE.)":400 Q$"^THE MEASURE OF AN OBTUSE ANGLE IS":Q1$"MORE THAN 90 DEGREES.":Q2$"LESS THAN 180 DEGREES.":Q3$"BOTH OF THE ABOVE.":A$"C"BYCX,CY Q$"2 OR MORE ANGLES TOTAL 90 DEGREES.":Q1$"^THEY ARE SUPPLEMENTARY.":Q2$"^THEY ARE COMPLEMENTARY.":Q3$"^THEY FORM A STRAIGHT ANGLE.":A$"B"z EX0:H$"^COMPLEMENTARY IS THE RIGHT WAY TO BE. ^REMEMBER THAT, AND YOU'LL REMEMB 20000 QUIZ2$25934238210,14I#1014,165:1015,98T(975,0Z2g<38219,8yF33,36:35,13P230,64Z1:0:7d350n720:62450x170 DRAWS AN ANGLE * * VERTEX IS AT (BX,BY) * *  AX,AYBX,     0,22191,22141,72:13999::z/\ZZ14:HC57:HC:16000:32:16140,72:140,72190,22191,22141,72:13999:::16100/e11000:15000/f8:"^TWO OR MORE ANGLES WHOSE SUM IS 180 DEGREES ARE CALLED SUPPLEMENTARY."0k11:" ^L^I^H AND ^L^I^J AREREES.":H1:V12:9000:11000:15000D.>140,72190,22191,22141,72U.C2:25:"^L".H8:" ^L^I^J AND ^L^I^H HAVE A TOTAL MEASURE OF 180 DEGREES.":H1:V8:9000:H10:V8:9000.M13998:13998/RZZ14:HC13:HC:16000:0:16140,72:140,7219AC$"N"Č62450:-750B- 8:"^FINALLY, CONSIDER THIS LINE."q-*16000:32:16140,72:0:16140,72:16100-/9:6:"^H":18:6:"^I":27:6:"^J"-410:"^LINE ^H^I^J IS ALSO ^H^I^J.":V10:H17:9000#.912:" ^H^I^J HAS A MEASURE OF 180 DEGINITE SERIES OF POINTS IN OPPOSITE DIRECTIONS...":11000:15100J5b10:MXPX1:NXPX1N1138:MX,PY:NX,PY:MXMX1:NXNX1::255711000:15100:11:"...A LINE WOULD BE FORMED.":11000:150008"^A LINE IS AN INFINITD.":13995N|11:"^REMEMBER, DOTS REPRESENT POINTS.":R9:11:16:10000:L$"^A REAL POINT OCCUPIES NO SPACE!":23:12:R2:10000:L$:11000:624508:"^SUPPOSE WE START WITH A POINT.":13995:PY49:PX138:190:13995C"^THEN WE MAKE AN INF00:15000ih8:"^A POINT IS NAMED BY A SINGLE UPPER-CASE LETTER.":13995:4:4:"^A":13995m11:"^HERE IS POINT ^A.":11000:15000r6:9:".^B":15:1:"^C":15:2:".":27:6:"^D.":13995 w9:"^HERE ARE POINTS ^A, ^B, ^C, AND ^S SCREEN, HOWEVER,"::"A PLANE GOES ON AND ON FOREVER..."::"...IN ALL DIRECTIONS!":11000:62450^8:"^A LOCATION OR POSITION ON A PLANE IS CALLED A POINT." c11:"^IN GEOMETRY, WE REPRESENT A POINT WITH A DOT.":3:4:".":13995:110E"::2:"CONCERNED WITH PLANE GEOMETRY.":5:17:R5:10000:L$E:2:"^A PLANE IS A FLAT SURFACE,":2:" SUCH AS THIS SCREEN.":11000H15100ITT12JTQ17:TQ:QA0:QB0:LH275:LV172:30:N1350::::11000:62450cT5:"^UNLIKE THIFROM TWO ^GREEK WORDS:"::"^GE MEANS EARTH..."::"... AND ^METRIA MEANS MEASUREMENT.":6:1:R2:10000:L$:8:9:R6:10000::L$;:"^GEOMETRY, THEN, MEANS":" EARTH MEASUREMENT!":11000<62450?@3:2:"^IN THESE LESSONS, WE WILL B233:RY165:SX277:SY157:TX255:TY144:150Y .1:QA220:QB15:OFFSET15:LV18:LH25:80 /2:AX16:AY142:BX40:BY142:CX52:CY164:DX0:DY164:200 17:7:10:"^GEOMETRY ^BASICS":13995:11000:62450 5763:"^GEOMETRY IS A WORD THAT COMES 9:YY44:YY,0,191,29,0:59:YY162:YY,0,191,39,0:Q9`;YY178:YY,0,191,40,0:l9;YY86:YY,0,191,39,0:9>233,146:232,171:9>232,171:233,149:1:0:7:2000:2ION BUT LEAVES DIAGRAM ABOVE 86 INTACT!!!:;255:0:Z86191:0,Z279,Z::3:ND THEN MADE ITS SIDES EQUAL TO GET A SQUARE.":11000:15000j'QA100:QB10:OFFSET20:LH80:LV60:80'H89:V40:13100:H169:V40:13100'H138:V10:13000:H118:V70:13000'145,5145,15146,15146,5:125,65125,75126,75126,65(87,35S OPPOSITE THE LEGS ARE ALSO EQUAL IN MEASURE.":7000J-11000:62450-Q$"^THE SUM OF A TRIANGLE'S ANGLES IS":Q1$"180 DEGREES.":Q2$"270 DEGREES.":Q3$"360 DEGREES.":A$"A":EX0[.H$"^A TRIANGLE'S DEGREE MEASURE SUMS TO A STRAIGHT ANGLE (180 D62450R,RX90:RY80:SX160:SY80:TX125:TY17:150:107,45114,45:138,45145,45,Q$"^THIS TRIANGLE IS MARKED AS":Q1$"ISOSCELES.":Q2$"SCALENE.":Q3$"OBTUSE.":A$"A":EX28-H$"^A TRIANGLE WITH TWO LEGS EQUAL IN LENGTH IS ISOSCELES. ^THE ANGLEONE THAT ARE MARKED!"-+7000:11000:624506+350+Q$"^THIS RIGHT TRIANGLE IS ALSO":Q1$"ACUTE.":Q2$"SCALENE.":Q3$"ISOSCELES.":A$"B":EX2,H$"^NO LEGS ARE MARKED AS EQUAL, SO YOU MAY CONCLUDE THAT THE TRIANGLE IS SCALENE.":7000:11000:::76T1300::-76 SHORT TIME-DELAY?76T15000::W77 MEDIUM TIME DELAYj77T110000::7:255:0:Z101191:0,Z279,Z::3:7:255:0:Y120191:0,Y279,Y::3:7:255:0:X20901:X,0X,191::7:8:255:0:Y44191:0,:L$L$(95):T:(6*16368,0:38219,796*DT11500:@6*6x6+13:3:"(^PRESS ^SPACE ^BAR TO ^CONTINUE)":7:AC$6 +38219,8:6\+16368,0:38219,76^+76f+13:"(^PRESS ^SPACE TO ^CONTINUE)":AC$6p+38219,8:66T1500::76T1100011:29:B$54RT$:59RT$(8)Ē0:11:29:B$:7:7205O5>RT$(13)7220U5C5'# THIS SUBROUTINE DRAWS ANGLE SIGN AT (H,T) WHERE H=HTAB AND V = VTAB VALUES.5(#V(V15)75)#H(H7.8)5*#16000:0:1:5H,V:5H1,V:16100:6'L$"":T1R^I'D FOOL YOU!!":7130<4R$"^WHEW! ^YOU KNEW THAT ONE!!"]415100:12:R$:13999:11000x462450:7:H$:EX1ı413999:11000:62450:4 INPUT ROUTINE4 28:11:R3:10000:L$4%B$4*B$(8)B$""72054/B$"A"B$"C"7205 52MEASURE.":7000!-15000:62450-Q$"^ADD A TRIANGLE'S ANGLES. ^THE SUM'S":Q1$"180 DEGREES.":Q2$"270 DEGREES.":Q3$"360 DEGREES.":A$"A":EX05.H$"^A TRIANGLE'S DEGREE MEASURE SUMS TO A STRAIGHT ANGLE (180 DEGREES). ^IN ANY TRIANGLE THE LARG125:TY17:150:107,45114,45:138,45145,45,Q$"^THIS TRIANGLE IS MARKED AS":Q1$"ISOSCELES":Q2$"SCALENE":Q3$"OBTUSE":A$"A":EX2-H$"^A TRIANGLE WITH TWO LEGS EQUAL IN LENGTH IS ISOSCELES. ^THE ANGLES OPPOSITE THE LEGS ARE ALSO EQUAL IN 000:62450+350p+Q$"^THIS RIGHT TRIANGLE IS ALSO":Q1$"ACUTE":Q2$"SCALENE":Q3$"ISOSCELES":A$"B":EX2+H$"^NO LEGS ARE MARKED AS EQUAL, SO YOU MAY CONCLUDE THAT THE TRIANGLE IS SCALENE.":7000:11000:62450,,RX90:RY80:SX160:SY80:TXIANGLE IS MARKED AS BEING":Q1$"ISOSCELES.":Q2$"EQUIANGULAR.":Q3$"EQUILATERAL.":A$"C":EX2*H$"^THE SINGLE MARK ON EACH SIDE MEANS THE TRIANGLE IS EQUILATERAL. ^WHILE IT ALSO IS EQUIANGULAR, IT IS THE SIDES ALONE THAT ARE MARKED!" +7000:11RS TO HI-RES SCREEN? 54,237:55,148:43603,237:43604,148:( 6:0,150279,150:204,70204,150:7Z 13:"(^PRESS THE ^SPACE ^BAR TO ^CONTINUE.)"d 1000j   THIS SUBROUTINE SETS PRINT POINTERS BACK TO NORMAL TEXT 54,189:55,158:43603,240:43604,253:  THIS SUBROUTINE SETS PRINT POINTE x5:"^S^C^O^R^E^S:":6:0,70279,70:7V 6:"^A - ^GEOMETRY ^BASICS 90%" 7:"^B - ^LEARNING THE ^ANGLES 60%" 8:"^C - ^THE ^ETERNAL ^TRIANGLE 80%" 9:"^D - ^FEARSOME ^FOURSOME 70%" 10:" (^QUADRILATERALS)"͍ҍ 2000 16100? P$"^EDUCATIONAL ^ACTIVITIES, ^INC.":10000] D12000:D:20000:1000t :(4);"RUN MGMT"} 170 54,189:55,158:43603,240:43604,253:: ROM CHAR 54,237:55,148:43603,237:43604,148:: NEW CHAR 'PP(P$) 'PP1:0Z6OdT064:98,1033T,156:179,10243T,156:knT10156:98,T179,T:rx4T4863:RR.3:116R,T160R,T:T99113:UU.3:101U,T173,T:T99156:II.15:163I,T176I,T:7:Y170:X33  191,39,0:&>:YY120:YY,0,191,39,0:@>:YY0:YY,0,191,29,0:[>:YY44:YY,0,191,29,0:w>:YY162:YY,0,191,39,0:>`;YY178:YY,0,191,39,0:>>233,146:232,171:>>232,171:233,149:1:0:7:2000:> NER(222)?*NER255İ1000::(4);"RUNE3:"(^PRESS ^SPACE TO ^CONTINUE)":AC$B=h+AC$(3)ER255:20010V=k+AC$" "11100e=p+38219,8:v=6T1500::=6T11000::=6T1300::=6 SHORT TIME-DELAY=6T15000::=7 MEDIUM TIME DELAY=7T110000:: >:YY101:YY,0,00:0:1:5H,V:5H1,V:16100:C<'L$"":T1R:L$L$(95):T:Z<*16368,0:38219,7a<*6<+13:2:"(^PRESS ^SPACE ^BAR TO ^CONTINUE.)":7:AC$<+AC$(3)ER255::20010<+AC$" "11000< +38219,8:<\+16368,0:38219,7<^+7&=f+10ı# L'H1PP:R((P$,H,1))31@ V'FL1FL0:RR31:10090V `'R63FL1:10100p j'RX,Y:RX1,Y:XX8 t'H:YY15: >232,171:233,149:1:0:7:2000: N:5 *NT0202:0T,T278T,T:0T,191T278T,191T:T! 4N7:X80:Y50:P$"^G^"A"B$"C"7205;211:29:B$(;4RT$F;6RT$(3)ER255::20010l;9RT$(8)Ē0:11:29:B$:7:7205;>RT$(13)7220;C;'# THIS SUBROUTINE DRAWS ANGLE SIGN AT (H,T) WHERE H=HTAB AND V = VTAB VALUES.;(#V(V15)7;)#H(H7.8)!<*#16020 L`A MENU" ?4NҠˠƠҠΠ ԠԠҤբŠΠ٠٬Π٠٬Π٠٬ΠŠŠΠŠŠŽԽҽ ΠϠԠΠ͠͠ŠٍҠԠϠԠΠ٠٬Π٠٬Π٠٬Π٠٬ԠȠ֠ϠȬ֠ϠȠ֠ȠȠԠȠ֠ϠȬ֠ϠȠ֠ΠҠԠϠԠΠ͠٠ԠŠٍҠԠϠԠΠ͠ԠŭٍҠԠŽנԠȬֺנԠȠֺ Π͠ԠǠӍԠȠ֠ϠȬ֠ϠȠ֠ȠȠԠȠ֠ϠȬ֠ϠȠ֠Π͠РǠӍб ԠӠŠϠũԠäƠäҤΠҠϠƠäΠŠΠ֠֠ȠԠȠ Խ ԠӠŠҠϠŮҽԠäƠäҤΠҠРϠƠäΠŠ ΠŠŠҽϠƠä٢Π̠ϠƠä΢Π̠ΠϠ̤ҠԠϠҺ̤̤ҤԠԺΠŠŠҽ ԠäƠäҤΠҠРϠƠä٢Π̠ϠƠä΢Π̠ΠϠŠԠäƠäҤΠҠРϢΠ̠ΠϠŠԠäƠäҤΠҠРϠƠä٢Π̠ϠƠä΢Π̠ΠϠŠנԠȬֺנԠȠֺ Π͠ӯϠŠ̠ΠҠΠŠԠäƠäҤΠҠϠƠä٢Π̠ϠƠäκԠ¤ҽϠƠԤҤΠΠ͠ӠŠӠŠΠԠȬԩŠȽ Ġ֠ Ӯ֠֠ȠԠȠ ԽŽϠƠ¤ҤҠ¤ΠƠ¤Ҡ¤âΠ  Ԡ¤ԠԤƠԤҤΠҠРϠƠԤҤΠҽ  Π̠ ԠȤƠؠΠΠ  ̠Π͠Ԡō  Ҡ Ԡ̤Ԡ¤Ơ¤ҤΠҠР ԠĠĠºҠΠϠҠȠĠϠРŠȺŠȠ̠ԠĠºԠ ԠҤ  ƠؠΠ  ԠȤɠԠɧĠ̠աϠҤҠӠ̠šϠҤɠŠՠԠŠԡϠҤՠŠ٠šϠҤӠĠŠġϠ ΠҤ٬ԧӠԡϠҤȬՠנ̠ŠӡϠҤסէŠϠšϠҤӠŠǠտϠҤΡޠ   ԠŠԠҠӠ Ϡ͠ԠҠŠҠԠĠШЩƠҠҠΠҠҍΠҠϠ ԠѱԠ©ѲԠéѳ ԠŠΠŠԠҮ ԠΠӠξ Ơ¤Π͠ԠҠŠӠŠӠԠӠϠɭӠ΍ŠŠŠŠΠ Π͠ȤӠŠŠԍ͠ڠŪШЩ ԠѤϠԠԠШԩԠԺŠԍԠԠҤΠҢϠϠ͠ӠŠӠԠӠˠϠ̠ԍŠŠŠŠΠȡ٠ԠԠԠנԠƠŠ׮  ԠɠŠϠϠŠŠΡ ̠  ԠŠՠԠΡ   ҠԠ̮ѲŠԠӮѳŠ̠ӮȤ̠ӠŠӠƠ̮ŠƠŠŠĠŠŠ̠ΠȮР  ԠȠήâȤӠĠӠŠӠƠӮ̠ӠΠ٠Ĭ٠ĠŮР ѤŠӠĠŠŠȢѱŠ̮ѳӮ¢ؠȤŠ̠ӠƠĠŠĠӮŠέ̠ӠŠĠӮР Ѥ̠ӠΠŠƠѱͮѲŮѳԠӠŮР  ֠Ƞ  ̠ ԠԧӠŠԠŠՠҮ ̠ѤĠӠ̢ѱӮѲINT POINTERS TO HI-RES SCREENI 54,237:55,148:43603,237:43604,148:TILATERALS)"4 6:0,150279,150:234,70234,150:7d 13:" (^PRESS ^SPACE ^BAR TO ^CONTINUE.)"n 1000t   THIS SUBROUTINE SETS PRINT POINTERS BACK TO NORMAL TEXT 54,189:55,158:43603,240:43604,253:  THIS SUBROUTINE SETS PR x5:"^S^C^O^R^E^S:":6:0,70279,70:7Y 6:"^A - ^GEOMETRY ^BASICS 90%" 7:"^B - ^LEARNING THE ^ANGLES 60%" 8:"^C - ^THE ^ETERNAL ^TRIANGLE 80%" 9:"^D - ^FEARSOME ^FOURSOME 70%" 10:" (^QUADRJ 2000025934<38210,14: SET THE SPACING ^975,0: RESET TO LOWER CASEd q 38219,8 33,36:35,13230,64:62450:1014,165:1015,981:0:72000d2:1:"^S^T^U^D^E^N^T:"n3:"^BRONSON, ^JENNY")    ѤӠȠԠŠӢѱŮѲŮѳĮؠȤǠԠŠӠ̠ŠӠΠŠŠԠӮŠŠӠŠ٠̬ŠԠϠԠϠ ԠӠŠŠҬĠŠΠ̠͠Ԯ ԠӠŠӠĠӡԧӠĠͧӮ Ӡ ԠȠ֠ Ƞ֠ Ƞ֠ Ƞ֠ Ƞ֠ ԠϠϠϠԠϠϠϠŬӠ͡ ̠ ԠŠ̠ŠӠϠŠĮŠĠԠŠϠͬĠΠŠӠӠ̠ϠԠŮ  Ů¢ؠȤΠ̠ŠӠŠȠ̠ӠƠ̠ȮԧӠΠӠŮР  Ƞ֠  ԠҬŬŠ̤ ԠϠՠԠŠϠ̠ՠŠŠοŠ٧ҠΧ  ԠԠϠՠˠŧĠԠƠŢѤŠŠŠ̿ѱӮѲŮѳȵҠڠϠҠàϠҽúԠϠϠϠϠ ԠԠ ԠĠԧӠŠŠ٠ƠנɠŠϠŠӠŮ  Ҡ ŠӠΠ٠͠Š٬ŠԠǠԠĠӺ  ҠڠϠҠàϠҽúԠϠϠϠϠ ԠԠˠԠĺ  ҠڠϠҠàϠҽúԠϠϠϠϠ ԠԠ ԠԠԠӠԠ̮ ԠŠԺԠ̤  ҠڠϠҠàϠҽúԠϠϠϠϠ ԠԠ ԠԠΠͬŠӠŠ̠ŬϠɠԠŠӠǠϠŠ٠ŠԠšҤ   Ԡ٬ɠĠɧĠԠ٠ŠԠŠϠŠͮɠġˡ  Ҡ Ԡ٠ǠŠԠŠϠͬŠΠԠ٠ҠǠŮ Ƞ֠    ԠҤͬҤՠٮҤްȠ֠ Ƞ֠  ̠ ԠĠՠŠϠŠ̠ŠԠĠԠӠο  ԠŠ٧ҠΧ  ǠӠԠŠӠ͠ϠӮР   ԠԢԠӠŠӠƠ͠ΠӬΠϠӠîȠ֠ Ƞ֠  ѤȠӠŠ̠Πſѱ͠ΠĠϠЮѲ͠ϠĠΠЮѳŠƠŠŮ¢ؠȤͧӠŠӠŠ̠ΠŮԧӠԠӠϠ ԠԠ Ƞ֠ Ƞ֠ Ƞ֠ Ƞ֠ Ƞ֠ Ƞ֠ Ƞ֠ Ƞ֠ՠϠҠàϠҽÍԠϠϠϠԠϠϠϠԠϠϠϠԠϠϠϠԠϠԠԠŠǠŠŮР    Ԡ٠ͧӠŠӠŠ̠ΠȮ ԠŠנԠ٠Ǡ͠ΠŠŠҮ Ҡڠ Ƞ֠ ѤȠӠԠŠҠŠſѱͮѲήѳϮâؠȤҬ٠̧ӠӠԠŠĠΠҬӠƠŠŠҠӠͮӠȠ̠ҠӬӠӠԠŠĠΠҮ֠Ƞ     Ҡ Ԡ̤Ƞ֠ Ƞ֠ǰԠТ  ԠϢ ԠӠӠĠͮԧӠĠӠԧӠĮ  Ҡ Ԡ̤   ԠРӠԠάϠϠϠϠԠϠϠϠϠϠԠϠϠϠϠϠ  Ԡ͢  Ԡ΢   ԠנԧӠŠҠ̠ĠŠȠӠƠӠ̮ Ƞ֠Ԡ ԠϠϠϠϠϠԠϠ̠ΠŠԠϠӠǠӠȬҠ̠ƠӮР ؠ٠ؠ٠ؠ٠ؠ٠ ԠϠϠϠ ̠  ԠŠ٧ҠΧ ѤŠ͠ƠħӠӠӢѱӮѲӮѳӮ¢ؠȤĠӠ̮٠ŠϠҠàϠҽúԠϠϠϠԠϠϠϠ ԠԠ̠ ԠĠՠŠϠŠԠՠԠנԠŠĠοԠŠ̠ӠƠĠŠĠӠӮ  Ҡ Ԡ̤ ԠŠέ̠ӠŠĠŠӮ  Ҡ Ԡ̤ Ҡ  Ҡ Ԡ̤ ԠԧӠĠŠԧӠĮ  ҠڠϠҠàϠҽúԠϠԠϠ ԠԠӠԧӠŠ̠ƠةΠҮ ԠӬάӠƬҠìԠҠĬî   ԠӠŠȠŠҠƠӠ̩ӠĠĮԠĢ  ԠƢ  ԠŢ ԠŠӠΠĠĠŠŠϠŠԠ٠Š̮   Ԡ̠ӠĠ٠ǠӠ٠  ϠԠϠϠϠϠϠԠϠϠϠϠϠΠ͠  Ԡâ  ΠŠϠϠҠԠŠŠſ  ԠŠ٧ҠΧ  ԠԧӠŠ̠ĠŠҠƠŠӠ̮ؠ٠ؠ٠ؠ٠ؠAN ANGLE THAT MEASURED ZERO DEGREES."L1:1:"^NUMBER OF DEGREES = 0"^11000:150008:"^FINALLY, IMAGINE THAT THE TOP RAY CAN PIVOT AROUND ITS ENDPOINT. ^THAT IS, THE ENDPOINT IS A VERTEX.":11000:15000:7008:"^WOW! ^YOU HATO UNDERSTAND.":11000:62450G8:"^TRY TO IMAGINE A RAY...":1399516000:0:1150,45:16100:13998:10:"...LIKE THAT ONE.":11000:15000(8:"^NOW IMAGINE THERE'S ANOTHER RAY EXACTLY ON TOP OF THE FIRST.":11:"^THE TWO RAYS WOULD FORM 9000:11000:15200oZZ12:HC13:HC:AX200:AY80:BX100:BY80:CX182:CY63:235:13995:::11000:150008:"^ANGLE MEASURE IS EXPRESSED IN UNITS CALLED DEGREES.":9:8:R7:10000:L$11:"^DEGREES OF ANGLE MEASURE IS NOT AN EASY CONCEPT 8:"^CLEARLY, THE MEASURE OF THE OPENING OF ^D^B^I..."IH3:V9:900011000:15200:ZZ12:HC57:HC:AX200:AY80:BX100:BY80:CX164:CY43:235:13995::15200:11:"...IS GREATER THAN THE MEASURE OF THE OPENING OF ^C^B^I.":H15:V12:RAY, ^B^D.":"^THIS MAKES THE NEW ANGLE, ^D^B^I."FqH26:V12:9000vrAX200:AY80:BX100:BY80:CX164:CY43:235s22:3:"^D"u11000:15200wZZ12:HC57:HC:AX200:AY80:BX100:BY80:CX164:CY43:235:13995::|11000:150007E CAN BE MEASURED."-c7:10:R3:10000:L$]hAX200:AY80:BX100:BY80:CX182:CY63:235i12:6:"^B":26:6:"^I":24:5:"^C"m11000:15000:8:"^LOOK AT THE SIZE OF THE OPENING OF ANGLE ^C^B^I.":11000:152002p11:"^SUPPOSE WE ADD THE WILL NOT SHOW ARROWHEADS ON THE SIDES OF ANGLES. ^IT WILL BE UNDERSTOOD THAT THOSE SIDES MAY BE LENGTHENED OR SHORTENED (AS NEEDED)."[11000:62450^8:"^WHILE IT MAKES NO SENSE TO MEASURE AN ANGLE'S SIDES, THE OPENING OF AN ANGL9560,3560,3960,3556,35|J11:"^THAT MEANS THAT THERE IS NO POINT TRYING TO MEASURE AN ANGLE'S SIDES.":11000:15000O8:"^THE RAYS MAY BE EXTENDED FOREVER."T10:"^THAT IS SHOWN BY THE ARROWHEADS.":11000:15000Y8:"^FROM HERE ON, WE B15:OFFSET15:LV18:LH25:80]/2:AX16:AY142:BX40:BY142:CX52:CY164:DX0:DY164:20017:7:8:"^LEARNING THE ^ANGLES":13995:11000:6245057@8:"^REMEMBER, THE SIDES OF ANY ANGLE ARE RAYS.":13995E16000:1620,95:16100:20,TEX IS AT (BX,BY) * * - AX,AYBX,BYCX,CY3 X ONE HUNDRED SQUARES (X/Y=8/7)!i QB012614 QA3018915:LH16:LV14:30:   ,6:QA0:QB0:LH24:LV30:30 -5:RX233:RY165:SX277:SY157:TX255:TY144:150.1:QA220:Q QUADRILATERAL4 (AX,AY);(BX,BY);(CX,CY);(DX,DY)W AX,AYBX,BYCX,CYDX,DYAX,AY AXAX1:BXBX1:CXCX1:DXDX1:AX,AYBX,BYCX,CYDX,DYAX,AY DRAWS AN ANGLE GIVEN COORDINATES OF THREE POINTS. (AX,AY);(BX,BY);(CX,CY) * * VER190:PXX2:PYY2:190:X1,Y1X2,Y2( = DRAW TRIANGLE Z (RX,RY);(SX,SY);(TX,TY)w RX,RYSX,SYTX,TYRX,RY RXRX1:SXSX1:TXTX1:RX,RYSX,SYTX,TYRX,RY PX,PYPX1,PY:PX,PY1PX1,PY1:PX,PY1:PX1,PY1  DRAW ANY d ALSO SPECIFY LH AND LV/ nQCQALHOFFSETf xQA,QB(QALH),QBQC,(QBLV)(QCLH),(QBLV)QA,QB QAQA1:QCQC1:QA,QB(QALH),QBQC,(QBLV)(QCLH),(QBLV)QA,QB PLOT A LINE SEGMENT AND ITS ENDPOINTS (X1,Y1);(X2,Y2)" PXX1:PYY1: SPECIFY QA, QB, LH, LVP 2QA,QB(QALH),QB(QALH),(QBLV)QA,(QBLV)QA,QB <QAQA1:QA,QB(QALH),QB(QALH),(QBLV)QA,(QBLV)QA,QB F P DRAW PARALLELOGRAM Z SPECIFY QA,QB AND OFFSET FROM THE VERTICAL FOR THE FIGURE'S OTHER SIDES.7 2000025934% ANGLES<1014,165:1015,98`38210,14: SET THE SPACING 975,0: RESET TO LOWER CASE  38219,8 33,36:35,13230,64:62450:1:0:7200016100300 DRAW RECTANGLE (                     ! ! ! !     OBTUSE ANGLE ROUTINE'&H11000:62450&XAX200:AY80:BX100:BY80:CX182:CY63:235:AX201:AY80:BX101:BY80:CX183:CY63:235:&]12:6:"^A":26:6:"^B":24:5:"^C"&b8:" ^C^A^B IS AN ACUTE ANGLE.":H1:V8:9000:11000:15200'g100,801020:BY70:CX180:CY70:235:AX181:AY10:BX121:BY70:CX181:CY70:235:13999::%F11000:62450:Q$"^IN ONE HOUR, A CLOCK'S MINUTE HAND":Q1$"ROTATES 180 DEGREES.":Q2$"ROTATES 270 DEGREES.":Q3$"ROTATES 360 DEGREES.":A$"C":H$"":7000:700&G530:AN ANGLE OF LESS THAN 90 DEGREES IS":Q1$"ACUTE.":Q2$"STRAIGHT.":Q3$"RIGHT.":A$"A":EX1$DH$"^NOW ISN'T THIS A CUTE LITTLE ANGLE? ^ACUTE MEANS SHARP. ^NOTICE THAT AN ACUTE ANGLE FORMS A SHARP POINT!":7000Q%EZZ12:HC13:HC:AX180:AY10:BX1LOOKS LIKE A STRAIGHT LINE.":H1:V8:9000m#=10:"^THAT MIGHT EXPLAIN WHY ^S IS CALLED A STRAIGHT ANGLE."#>H23:V10:9000:11:3:R14:10000:L$#?11000:62450#A6:"^LET'S TAKE A MINUTE TO SEE HOW ACUTE YOU ARE.":11000:62450[$CQ$"^DES OF ^S ARE TWO OPPOSITE RAYS. (^THE VERTEX IS AT ^S.)"X"5H13:V8:9000:13998"610:"^NOTICE THAT WHEN THE ANGLE WAS MADE THE SIDE ROTATED THROUGH TWO RIGHT ANGLES. (^THAT'S 180 DEGREES.)":11000"815200:555:11000:15000*#:8:" ^S U PROBABLY NEVER THOUGHT OF.":11000:624507!(555@!)564b!* ROTATE RAY THRU 180 DEGREES!+16000:0:1140,72:13995!.RO56328:RO:1140,72:13998:0:RO:1140,72:7:!0RO32:1140,72:16100!26:18:"^S"!3>"48:"^THE SIAX81:AY10:BX121:BY70:CX181:CY70:2359 13999::} 8:"^THE REASON FOR ITS NAMING MUST BE QUITE OBTUSE.":13995 !11:"^IN FACT, IT IS CALLED AN OBTUSE ANGLE!" $12:4:R12:10000:L$ %.!&8:"^NOW HERE'S AN ANGLE YO0:CX181:CY70:235"13999::8:"^NOW THE MEASURE OF THIS ANGLE IS GREATER THAN 90 DEGREES, BUT LESS THAN 180.":"^I DON'T KNOW WHY IT IS CALLED WHAT IT IS.":11000:15000* ZZ12:HC57:HC:AX80:AY10:BX120:BY70:CX180:CY70:235:Y70:235:AX181:AY10:BX121:BY70:CX181:CY70:235D 13999::s 12:"^WHAT A CUTE ANGLE!!!":11000:62450 STICK STRAIGHT ANGLE BEFORE OBTUSE550ZZ12:HC57:HC:AX80:AY10:BX120:BY70:CX180:CY70:235:AX81:AY10:BX121:BY75:AX181:AY10:BX121:BY70:CX181:CY70:235<13999::8:"^AN ANGLE WHOSE MEASURE IS LESS THAN 90 DEGREES IS KNOWN AS AN ACUTE ANGLE."10:1:R11:10000:L$:11000:152005ZZ12:HC13:HC:AX180:AY10:BX120:BY70:CX180:C FOR SO MUCH THAT IT IS CALLED A RIGHT ANGLE!"Y21:12:R11:10000:L$:11000:150008:"^RIGHT ANGLES ARE NOT THE ONLY KIND OF ANGLES THAT HAVE SPECIAL NAMES.":11000:62450ZZ12:HC13:HC-AX180:AY10:BX120:BY70:CX180:CY70:23 THERE IS SOMETHING ABOUT IT THAT IS JUST RIGHT!":11000:15000ZZ12:HC57:HC:16000:8120,45:8121,45:16100:13999::/8:"^IT IS JUST RIGHT FOR TABLE CORNERS, STREET CORNERS, BOOK CORNERS, ETC.":13995:11:"^IN FACT IT IS SO RIGHT. ^IF YOU SEE THAT MARKING, IT MEANS '90 DEGREES'.":11000:624508:"^HAVE YOU EVER TAKEN A GOOD LOOK AT A 90 DEGREE ANGLE?":13995ZZ12:HC57:HC16000:8120,45:8121,45:16100:13999::D10:"^THEN YOU PROBABLY NOTICED THATE KEY TEST IS WHETHER YOU CAN FIT A BOOK'S CORNER INTO THE ANGLE. ^THE WAY THE ANGLE FACES MAKES NO DIFFERENCE AT ALL.":11000:15000D8:"^THE LITTLE SQUARE DRAWN IN EACH OF THE ANGLES IS A CONVENIENT WAY OF MARKING THEM AS HAVING 90 DEGREESEGREES, THIS ANGLE MUST CONTAIN ONE-FOURTH OF 360, OR 90 DEGREES.":11000:62450q16000:0:80,80:81,8056:875,80:876,8048:8150,80:8151,8040:8225,65:8226,65161008:"^THESE ARE ALL 90 DEGREE ANGLES. ^THVE SOME IMAGINATION!"s10:"^YOU SHOULD HAVE NOTICED THAT A FULL ROTATION CONTAINED 360 DEGREES!":11000:6245016000:8120,45:8121,45:16100S"^THIS ANGLE SHOWS ONE-FOURTH OF A FULL ROTATION.":8:"^SINCE A FULL ROTATION CONTAINS 360 DAY10:CX200:CY70:4550:11000:62450,6Y6ZZ12:HC57:HC:235:13995:::7:6ZZ12:HC751:HC:235:13995:::7:616100:6V H$ IS A ONE LINE HINT6W QUIZ ROUTINE* * 6X6Y7:Q$7\8:"(A) ";Q1$:"(B) ";Q2$:"(C500058:"^THAT IS TO SAY, ^F^O^P IS CONGRUENT":"TO ^S^O^T...";:H17:V8:9000:H4:V9:9000:4500:AX80:AY10:CX200:CY10:4550&6" AND ^S^O^F IS CONGRUENT":"TO ^T^O^P.":H17:V9:9000:H4:V10:9000:AX80:AY10:CX80:CY70:4500:AX200:T AND ^F^O^P.":V11:H8:9000`4CX80:CY10:4500:CX80:CY70:AX200:AY70:4550:11000:1500059:"^VERTICAL ANGLES ARE CONGRUENT!":9:21:R9:10000:L$:11:"(^PRONOUNCE THAT ^K^O^N' GROO-INT: ^IT":"MEANS IDENTICAL IN SHAPE AND SIZE.)":11000:134);"VERTICAL ANGLES.";(34):11000:1500038:" ^S^O^F AND ^T^O^P ARE A PAIR OF":"VERTICAL ANGLES.":V8:H1:9000:V8:H11:90003AX80:AY10:BX140:BY40:CX80:CY70:4500:AX200:AY10:CX200:CY70:4550313998411:"^SO ARE 'S ^S^O^603,237:43604,148:V25:80,10200,70:6:80,70200,10:7:9:1:"^S":27:1:"^T"218:4:"^O":9:5:"^F":27:5:"^P"*38:"^SEGMENTS ^S^P AND ^F^T CROSS AT ^O."::"^THE ANGLES FORMED ON OPPOSITE SIDES":"OF THE VERTEX, ^O, ARE KNOWN AS":(E OF THE FINE POINTS."(11000:765,KT?1:(4);"RUNQUIZ2"1 THIS SUBROUTINE SETS PRINT POINTERS BACK TO NORMAL TEXT154,189:55,158:43603,240:43604,253:1 THIS SUBROUTINE SETS PRINT POINTERS TO HI-RES SCREEN254,237:55,148:43OSE SUM IS 180 DEGREES ARE CALLED SUPPLEMENTARY."U0k11:" ^L^I^H AND ^L^I^J ARE"0p2:"SUPPLEMENTARY ANGLES.":V11:H1:9000:V11:H10:9000:12:2:R20:10000:L$0z11000:624500|62450:400017:"^HERE COME A FEW LINES TO CHECK ON SOM:V8:9000/M13998:13998q/RZZ12:HC13:HC:16000:0:16140,72:140,72190,22191,22141,72:13999::/\ZZ12:HC57:HC:16000:32:16140,72:140,72190,22191,22141,72:13999:::16100/e11000:1500010f8:"^TWO OR MORE ANGLES WH^H^I^J IS ALSO ^H^I^J.":V10:H17:9000w.912:" ^H^I^J HAS A MEASURE OF 180 DEGREES.":H1:V12:9000:11000:15000.>140,72190,22191,22141,72.C2:25:"^L" /H8:" ^L^I^J AND ^L^I^H HAVE A TOTAL MEASURE OF 180 DEGREES.":H1:V8:9000:H10PE '^Y' OR '^N'.)"%-16368,0:AC$A-AC$(3)ER255:20010S-AC$"Y"ī699i-AC$"N"Č62450:r-750- 8:"^NOW, CONSIDER THIS LINE."-*16000:32:16140,72:0:16140,72:16100-/9:6:"^H":18:6:"^I":27:6:"^J"(.410:"^LINE 16000,7:0:1150,45',139987,RR5608O,RR:1:7:1150,45,16100:1:21:0:ND:7:1:21:NDND45:ND:16000,RR,13998:0:1150,45,,7:1150,45:16100-10:"^WOULD YOU LIKE TO SEE THAT AGAIN?":12:9:"(^TY5+11000:62450:7:17:"OH!":13998:13998:62450>+800}+THIS GOSUB BEGINS AT 700, BUT 699 IS INTEGRAL FOR REPEATS+ROTATES A DRAWN RAY THROUGH 360 DEGREES BY 45'S+1:21:0:"360":7+1:1:"^NUMBER OF DEGREES = ":ND0:1:21:ND,34)*V8:H24:9000:14000k*ZZ12:HC57:HC:100,13100,80182,63183,63101,80101,13:13999::*9:(34);"^SO ARE YOU, ^C^A^B!";(34)*V9:H13:9000:14000+11:"^N^O! ^N^O!! ^N^O!!!":"^NOT COMP^L^IMENTARY! ^COMP^L^EMENTARY!!"12:H1:9000:V12:H10:9000:12:25:R1:10000:L$E)11000:15000)ZZ13:HC13:HC:AX200:AY80:BX100:BY80:CX182:CY63:235:AX201:AY80:BX101:BY80:CX183:CY63:235:13999::*8:1:(34):8:2:"^YOU'RE LOOKING LOVELY, ^C^A^D!";:(ICH IS A RIGHT ANGLE."E(|H1:V8:9000:V8:H10:9000:V9:H1:9000W(}11000:15200(ZZ12:HC13:HC:100,13100,80200,80201,80101,80101,13:13999::3)11:"^NOTICE HOW THE WORD IS SPELLED: ^C^A^D AND ^C^A^B ARE COMPLEMENTARY!":V0,13:101,80101,13$'l1:12:"^D"/'n13995g'q10:"^SO IS ^C^A^D.":H6:V10:9000:11000:15200'vZZ12:HC57:HC:100,13100,80182,63183,63101,80101,13:13999::'w15000({8:" ^C^A^B AND ^C^A^D TOGETHER FORM ^D^A^B, WHϠӮ   ԠάŠ̠٠ŠΠϠŠӬŠ͠ƠŠӠƠӠӠԠŠŠԬҠӮ ̠ ԠĠŠƠŠ͠ƠӠӮԠҮ  ԠϠϠϠ Ԡ٠̠ΠŠԠϠϠӮԠҬŧӠŠӠ͠  ԠŠŠŠ̮ԠӠҠӬԠŠƠŠ̠ӠƠŠƠŠӠŠ̠Πٮ   ԠԠĠԠŠҠϠˠՠŠŠ͢ҠӠҮӠӠŮ  Ҡ Ԡ̤  Ҡ Ԡ̤ ̠ؠ٠ؠ٠ؠ٠ؠ٠լӠ΢ԠȠӠĠӮ  Ҡ Ԡ̤   ԠŠĬҤ̬ҤӠ͠ϠΠӺ Ԡ ؠ٠ؠ٠ؠ٠ؠ٠ ؠ٠ؠ٠ؠ٠ؠ٠  Ԡ̬Ġħɭԧҭ̩ ҽ  ԠŠŠŢ  ̠ ԠŠŠנӮ Ƞ֠  ԠȠ֠֠ ҽؠ٠ؠ٠ؠ٠ ҽ Ԡ֠Ƞ ҽؠ٠ؠ٠ؠ٠ؠ٠̍͠ج٩ج٩ج٩ج٩Ԡج٠Ϡج٠Ϡج٠Ϡج٠ϠجٍؠؠؠؠؠؠؠؠԠج٠Ϡج٠Ϡج٠Ϡج٠ϠجٍΠҽ Ƞ٠Ϡج٠Ϡج٠ϠجٍؠؠؠؠؠؠԠج٠Ϡج٠Ϡج٠ϠجٍΠԠج٠ϠؠٺԠج٠Ϡؠ٠Ԡج٠Ԡؠ٠Π͠נ٠):CDCB:NN13:CHCD3232:768,CH:769,CH2:770::CDCB::12:R$:13999:11000o:62450:7:H$:EX1ı:13999:11000:62450:: INPUT ROUTINE: 28:11:R3:10000:L$:%B$:(B$(3)ER255::20010:*B$(8)B$""7205;/B$U?":7130;9R$"^DARN! ^I THOUGHT ^I'D FOOL YOU!!":7130h9R$"^YOUR THOUGHTS PARALLEL MINE!":71309R$"^I SEE YOU GOT THE POINT!":71309R$"^YOU ARE REALLY ACUTE!!":71309R$"^PYTHAGORAS WOULD BE PROUD!":7130T:15100:CB(((1)65)64R((1)9)1:RRR7100"8RRR.8KTKT1b8R7121,7122,7123,7124,7125,7126,7127,7128,7129h88R$"^HEY, THAT'S RIGHT!":71308R$"^OH, YOU KNOW ALL THE ANGLES!":71308R$"^WOW! ^YOU'RE NO SQUARE!":7130 9R$"^IS SOMEONE HELPING YO) ";Q3$Y7b12:"^TYPE IN THE CORRECT LETTER...":3:" THEN PRESS <^R^E^T^U^R^N>.":7200i7lB$A$71007u *** INCORRECT ANSWER ROUTINE ***7v15100712:6:"^THE CORRECT ANSWER IS (";A$;").":11000:71407 ** CORRECT ANSWER ROUTINE **8픸H N ɍ&Ɍ$*+*++8 $%nn& $ & & & im&% e%i hH)80i ?/ 0 &$$! $%%#"%N h`N!Ϡàȩ ֩ϠààԠ Ϡȩ Ϡì ֩Ϡàȩ ֩ϠΠ͠ԠŠԠĠӠӠرٱزٲ͠נŠԠجҠϠ ֩ϠΠ͠נ͍͠٠ ĠԠ͠Š̠ҠŠŧӠҠӮ͠Ϡ٠ȠĠ֍àȠԍԠ Ϡȩ Ϡì ֩ҽ  Ϡ͠נō͠٠¬Ȭ֍Ԡ Ϡȩ Ϡȩ ֩Ϡ ֩ϠԠ Ϡȩ Ϡȩ ֩ͺ͠čŠ͠ԠŠǠŠ͠ԠϠҠōŠŠŠŠŠŠŠ̠ҲŽԽ((((((((((((((((((((((((((((((((PPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP*UQUY]BFJNRVZ^BFJNRVZ^CGKOSW[_CGKOSW[_@DHLPTX\@DHLPTX\AEIMQUY]AEIMQUY]BFJNRVZ^BFJNRVZ^CGKOSW[_CGKOSW[_@DHLPTX\@DHLPTX\AEIMQUY]AEIMQUY]BFJNRVZ^BFJNRVZ^CGKOSW[_CGKOSW[_bHN0 g RP g RP g RP g RP g RPBEe c+ed*  I*Lc LbhN0` g RP 轅c+ed**LJc ʽc+ed**Ldc L=cʆйL(c@DHLPTX\@DHLPTX\AEIMQUY]AEIM""""""""! 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