GSP4\QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$DLDemonstration Page` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0594/Aug 28 20060#` ArialTimes New Roman $0'''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' @؁@@h@؁@@  @ oF ?@ @<?\.B@?>     '"nQ\aA Make 1 cmn<?\.2@?>     '$nQ\aA Make 0.5 cm)nHF@x@; &@   nQ\aAx8(n 8\.B@: &n   nQ\aAy='n   C8nC*@EC8C*@*@FC8C*@G      C8C @C8C*@ @  C8C@ @C8C @ C8C,@DC8C5@,@CC8C5@6@BC8C6@A      C8C @6@ C8C*@,@/ '# - &( )'/ %! - &+ ,%5 nQ\aAC@@@nQ\aABP@@@nQ\aAAp@`t@@ /0 @2 lN?@ /3; &@ 14 nQ\aAx8(n5 8\.B@: &n 16 nQ\aAy='n 57 C8n8C @C88C@ @C88C @59:;1 91$?rV cm :1$?rV cm ;1$?rV cm5 <1$?rV cm>  ?   "$nQ\aA Move Point> n<9:   "&nQ\aA Show Objects> n1;>?@   "&nQ\aA Show Objects5n %,55)'44)'4%,4> $>!=F   iF&nQ\aA Animate Point> n   0nQ\aAShow Coordinate System?> n     "nQ\aA Show Axes%0n    <0>n <;f;f?F@\.2@?f<;f;f`@\.2@?f OP fQ ? @f RO fO<?4333333@? @ OT - SU VO$ ࿥LXz?>@4333 WO$LXz??N4333 VO ffffff?5YWOX Q cs ? @ [P P<?4333333@? @ P] - \^ _P$ ࿥LXz?>@4333 `P$LXz??N4333 _P ffffff?5b`Pa [R0w?21 0d0((<0>>>0>0<;f?;f?F\.2@?f<;f;f?F@\.2@?f hi fj 41=Ӱ? @f kh fh<?4333333@? @ hm - ln oh$ ࿥LXz?>@4333 ph$LXz??N4333 oh ffffff?5rphq j  ? @ ti i<?4333333@? @ iv - uw xi$ ࿥LXz?>@4333 yi$LXz??N4333 xi ffffff?5{yiz kt }uu<;f?;f?F\.2@?f<;f;f?F@\.2@?f <;f?;f?F\.2@?f f<;f?;f`\.2@?f  f oԤ? @f  f<?4333333@? @  -  $ ࿥LXz?>@4333 $LXz??N4333  ffffff?5  i@4333 $LXz??N4333  ffffff?5  `? @  <?4333333@? @  -  $ ࿥LXz?>@4333 $LXz??N4333  ffffff?5  M_rh? @  <?4333333@? @  -  $ ࿥LXz?>@4333 $LXz??N4333  ffffff?5  '  hfR>C2>   ABCLM   n,nQ\aAShow Action Buttons n   ji(nQ\aA-->"13 x 13"--> jiZ;n ~  A >Z;n eg   >Z;n   /> >Z;n    >(#K-#\QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. 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The document will open as a copy.$:LL13 X 13` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0594/Aug 28 20060#` Arial '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' nQ\aAA@@@@@"u!Y@@@@  @ N?nQ\aACn n<?\.B@?>     $q$nQ\aA Make 1 cm.)nnQ\aAQN@`@; &@  nQ\aAx8(n 8\.B@: &n   nQ\aAy='n   > n    O0nQ\aAShow Coordinate System?> n    ;N"nQ\aA Show Axesn $rV@sin $rV@sin $rV@sin $rV@sinAM@@@ $rV@sin $rV@sin $rV@sin $rV@sin $rV@sin      B\.˅v@@@%&'%)*+, ,-$?=p@sin +-$?=p@sin *-$?=p@sin )-$?=p@sin %-$?=p@sin (2 2- -% %(CM@Hh4v@@789:;<=> 87$?=p@sin 97$?=p@sin :7$?=p@sin B? ?7 7BD\.˅v@ `}@@FGHIJKLM GF$rV@sin HF$rV@sin IF$rV@sin QF FN NQ S -  U -  U" OS" PS" QS" RS" TS V"/ V  - ^]> $%V7WF_   $nQ\aA Move Points5n 52(%-47B?4NFZA'eM@ q@@efghi ej$rV@nts fj$rV@nts gj$rV@nts hj$rV@nts ij$rV@nts lk$rV@nts mk$rV@nts nk$rV@nts er rk kj je5erkjB'@Vj*@ q@@xyz{| yx$?rVnts zx$?rVnts {x$?rVnts |x$?rVnts }x$?rVnts}  x x} }5x}C'Vj*@H$X@@ $?rVnts $?rVnts $?rVnts   4D'M@ q@@ $?rVnts $?rVnts $?rVnts   4WV/  /  - >     ^2nQ\aAShow Perpendicular Linesn v -n  /n   -n > n   J0nQ\aAShow Perpendicular Line> nex   $nQ\aA Move Points> n    $nQ\aA Move Point> nj %&'()*+,-./012789:;<=>?@ABFGHIJKLMNXYZefghijklmnopqrxyz{|}~   $nQ\aA Show Points> n'!"#$3456CDESVW[\abcdstuvw   &nQ\aA Show ObjectsnA@X@@ $rV@ects $rV@ects $rV@ects $rV@ects $rV@ects $rV@ects $rV@ects $rV@ects    5B@(@@ $?rVects $?rVects $?rVects $?rVects $?rVects $?rVects $?rVects $?rVects $?rVects $?rVects $?rVects $?rVects $?rVects    5C_@0}@@ $rV@ects $rV@ects $rV@ects $rV@ects $rV@ects $r<f@ects $r<f@ects $r<f@ects $r<f@ects $r<f@ects4D}@@@  4   C8 C*@C8 C*@nQ\aAUC8n C*@ @> $     2nQ\aA<--Make "13 x 13" SquareC8n C @nQ\aAPC8n C @nQ\aARC8n C@nQ\aASnA'M @B@@5    C'Mi@M@@   4D'M(@u@@$% &% %$ $&4$%&B'M@w@@++- ., ,+ +- -.5+-.,C8 C.@C8 C7@C8 C @7@C8 C5@.@> $5+76$4   4nQ\aA<--Make "8 x 21" Rectanglen@X@@@(@@_@0}@@}@@@ @B@@i@M@@@w@@(@u@> @D9:; <=>+?$@   J&nQ\aA "Mix 'Em Up"> n$   r&nQ\aA Hide Objectsn n n n   n   n   > nt !"'()/012CDEFGH   EO&nQ\aA Hide Segments> n$`B   q@nQ\aA'Show Miscellaneous Construction Buttons n   @&nQ\aA -->"8x 8" -->@x` n   )@&nQ\aA <--"Demo Page)@`-# \QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. 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The document will open as a copy.$L8 X 8` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0594/Aug 28 20060#` Arial Arial  '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' nQ\aAAD@@ԅs=@@@  @ 9 fc?nQ\aACn n<?\.B@?ion Butt>     j$nQ\aA Make 1 cm.)n.(@; &@  nQ\aAx8(n 8\.B@: &n   nQ\aAy='n   > n    X0nQ\aAShow Coordinate System?> n    HX"nQ\aA Show Axesn $rV@sin $rV@sin $rV@sin $rV@sinAn@@@ $rV@sin $rV@sin $rV@sin $rV@sin $rV@sin      B(@@@%&'%)*+, ,-$?=p@sin +-$?=p@sin *-$?=p@sin )-$?=p@sin %-$?=p@sin (2 2- -% %(CJ@\@@789:;<=> 87$?=p@sin 97$?=p@sin :7$?=p@sin B? ?7 7BD@h@0@@FGHIJKLM GF$rV@sin HF$rV@sin IF$rV@sin QF FN NQ S -  U -  U" OS" PS" QS" RS" TS V"/ V  - ^]> $%V7WF_   0nQ\aA<--Make "8 x 8" Square?5n 52(%-47B?4NFZA'M`n@u@@efghi ej$rV@"8 x fj$rV@"8 x gj$rV@"8 x hj$rV@"8 x ij$rV@"8 x lk$rV@"8 x mk$rV@"8 x nk$rV@"8 x er rk kj je5erkjB'@l@0v@@xyz{| yx$?rV"8 x zx$?rV"8 x {x$?rV"8 x |x$?rV"8 x }x$?rV"8 x}  x x} }5x}C'@@T@@ $?rV"8 x $?rV"8 x $?rV"8 x   4D'f@X@@ $?rV"8 x $?rV"8 x $?rV"8 x   4WV/  /  - >     O2nQ\aAShow Perpendicular Linesn v -n  /n   -n > n   O0nQ\aAShow Perpendicular Line> nex   O$nQ\aA Move Points> n    O$nQ\aA Move Point> nj %&'()*+,-./012789:;<=>?@ABFGHIJKLMNXYZefghijklmnopqrxyz{|}~   O$nQ\aA Show Points> n    X4nQ\aA<--Make "5 x 13" RectanglenJ@\@@f@X@@p@K@@l@0v@@`n@u@@@h@0@@n@@@(@@@@@T@> @D%7Fex   (nQ\aA"Mix 'Em Up" !!> n$   O{&nQ\aA Hide Objects!> nt!"#$3456CDES[\stuv   MZ&nQ\aA Hide Segments> n   u@nQ\aA'Show Miscellaneous Construction Buttons n   :nQ\aA!--> "What's Going On Here ?!" -->v2nnQ\aAE`@@A`@@BZVU@@@C`HT*v@@DZVU@@h4{@@A' `jZh@@C' \.@jZh@@D' `D"qt@@B' flk@D"qt@ @   Z&nQ\aA <--"13 x 13"oZ3-# \QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$pjLWhat's Going On !?!` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0594/Aug 28 20060#` Arial    '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' HE@0~@@GE@v@@E@@@D v@@@B~@~@@Au@~@@pn:[<0><0><0>>:H 3n 4<0>TCar N0    m64M?  ?n aa?y qJO$?x0 3Jb <0>TCar B0`GR   @J   'vb'V ?I  yv?F  X~ѹQ?C>  D> @F @F   u/$ Move C & F/  ?p/  ?o ?m ?k$0  w<0>/>m2e$0  W<0>/>m1e   @c10   @c6  @c10 0  b <0>TCar B0``m80 3 b <0>TCar B0``m50 3 b <0>TCar B0``m3 - X -  S -  L $? F A  @c11  @c7/  ?y   @c2/  ?q>  !   u(Gold Ratio Move - "Y - $#T -  %M ( @c12/ (?ad ) @c8 * @c3/ * ?r - ,+Z - $-U - /.N40( UUUUUU?p4U  0?af 0(?ae 1 @c9 2 @c4 - $6V - /7O49* UUUUUU?p1/U 8?ah 08?ag 8?z  9?v *9?u/ 9/?s - ;AA/ )=?aa - @P C @c135(A80?p8  A?ak C?aj A8?ai - B-W 9C?t - GD AB508I ?p95 I)?p648I)UUUUUU?p2U )I?al I ?ac 8I?ab - J&Q*2L  <0>>.Area of Parallelogram49R UUUUUU?p3aU  R?x R @c5a - &VR5KCRW?p115KW ?p10 KW?am  QG?'Gap'>  [   unQ\aA"Gap"> n[   -*nQ\aAShow Point 'Gap'g n {Qu?" 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The document will open as a copy.$%M LWork Page` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0594/Aug 28 20060#` Arial  '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' T@}@@Z@}@@ )@nQ\aAGe@0@; &@  nQ\aAx8(n 8\.B@: &n  nQ\aAy='n  C8nC @ @C8CC8C @JC8C @nQ\aAAC8nC@KC8C @@C8C@@C8C@                  4 4  5 5 nQ\aACO@X@@nQ\aAB@T@X@@  @nQ\aAC7@_@@nQ\aABZ_@@nQ\aAAKp@5@  $?rVC8C.@$@nQ\aADC8nC.@nQ\aAE5n%'&C8C.@@nQ\aAF4n')C8C.@.@nQ\aAHC8nC.@@C8C4@@nQ\aAI4n'-5 $?rV5/'+nQ\aAA|@@@nQ\aACPt@Ȁ@@nQ\aABu@Ȁ@@ 23; &@ 14 nQ\aAx8(n5 8\.B@: &n 16 nQ\aAy='n 57 C8n8C@@C88C@C88C@5;9:15 <1$?rV> /   P,nQ\aAHide Quadrilateral> n'),&+-   .nQ\aAShow 'Vector Points'C8nC$@C8C.@>  1A    $nQ\aA Move PurplennQ\aAC0@ r@@nQ\aAB~@ r@@nQ\aAA~@u@4@ECD%0   "*<0>>>    J,nQ\aAShow Quadrilateral'> n   a,nQ\aAHide Quadrilateral'> n/   K,nQ\aAShow Quadrilateral'> n IJ   +W,nQ\aASequence 2 Actions'> n 1   &nQ\aA Rotate Purple> n =1   |$nQ\aA Hide Purple-#\QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$VZLOriginal/Working` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0594/Aug 28 20060#` Arial    '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' HA@l@@GA@Z@@E~@O@@Dv@O@@B`~@6@@Au@6@@pn:[<0><0><0>>:H 3n 4<0>TCar N0    m64M?  ?n aa?y qJO$?x0 3Jb <0>TCar B0`GR   @J   'vb'V ?I  yv?F  k:`7?C>  D> @F @F   F$ Move C & F/  ?p/  ?o ?m ?k$0  w<0>>m2e$0  W<0>>m1e   @c10   @c6  @c10 0  b "<0>TCar B0``m80 3 b <0>TCar B0``m50 3 b <0>TCar B0``m3 - X -  S -  L $? F A  @c11  @c7/  ?y   @c2/  ?q>  !   (Gold Ratio Move - "Y - $#T -  %M ( @c12/ (?ad ) @c8 * @c3/ * ?r - ,+Z - $-U - /.N40( UUUUUU?p4U  0?af 0(?ae 1 @c9 2 @c4 - $6V - /7O49* UUUUUU?p1/U 8?ah 08?ag 8?z  9?v *9?u/ 9/?s - ;AA/ )=?aa - @P C @c135(A80?p8  A?ak C?aj A8?ai - B-W 9C?t - GD AB508I ?p95 I)?p648I)UUUUUU?p2U )I?al I ?ac 8I?ab - J&Q*2L  <0>>.Area of Parallelogram49R UUUUUU?p3aU  R?x R @c5a - &VR5KCRW?p115KW ?p10 KW?am{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$ LArrowhead (Closed) Arial enQ\aATipVVVnQ\aATailVVV @V  V<?4333333@?F @  - nQ\aAA n $ ࿥LXz?>@4333 $LXz??N4333  ffffff?5  /#Arrowhead (Closed) This custom tool constructs an arrow using a segment for the shaft and a small chevron-shaped quadrilateral for the arrowhead. {A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$ LArrowhead (Open) Arial )nQ\aATipnQ\aATail @  <?4333333@? arrow u @  - nQ\aAA n $ ࿥LXz?>@4333 $LXz??N4333   /#Arrowhead (Open) This custom tool constructs an arrow, using a segment for the arrow's shaft and two smaller segments for the flanges on the arrowhead. These flanges are radii of a small circle of fixed radius centered on the arrow's tip.{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$LSegment Length Arial  nQ\aABnQ\aAA<*  nQ\aAA$0n  &<0>>Z;n jnQ\aAt[1]