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.$LMenu` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0536/Aug 4 20030#HArial  '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':'44'!>'?'.#    Ja"nQ\aAOverviewJat    J$nQ\aA ParametersJ    J&nQ\aA TranslationsJ    J$nQ\aA ReflectionsJ    J"nQ\aA RotationsJ    J ,nQ\aARotations (part 2)J     J-"nQ\aA DilationsJ-@     JO$nQ\aA Arrow ToolpJOb     Jq&nQ\aA Quick SummaryJq    J?nQ\aAStartJ?uRr@k@nQ\aAC(@`w@8@D@p@D@?     ;.^?nQ\aAD   $8:4?nQ\aAF }@k@  $ ]grV@mmar  $ ]grV@mmar     $ ]grV@mmar        $ ]grV@mmar     " # $   $ ]grV@mmar& ' ( % * + , - . / 0 ! 2 3 4 5 6 7 8 9 : ; < )  >4 J? >) A >B C> E F G H I J K L  ML N MO P M= JR  T $ ]grV@mmar U!U W X Y Z  Y[[ ] ^ _ ` a b c  bdT  f $ ]grV@mmar gW gUg j k l m  nY [n4nY[n r s t u v w x  yb dy4ybdf }  ~ $ ]grV@mmar        n     1  y   ~   $ ]grV@mmar                 $ ]grV@mmar                $ ]grV@mmar                     $ ]grV@mmar                -    4   $ ]grV@mmar $ ]grV@mmar   $ ]grV@mmar                  $ ]grV@mmar           -    -  ( 1        -   -      4    $ ]grV@1 $ ]grV@1 W   $ ]grV@1             $ ]grV@1 !$ ]grV@1 "7"!UgW "!  & $ ]grV@1' ( ) * + , -  .+ .  . .Q C,. . . - 53 6 6 6Q C6.S E:4.+Q C+. - /= >S E=p{@ o@y@k@  YD ?drag ? C V C % C h C i C J@ C JS C  C o C \ C p C z C e C { C  C  C   C 4q C 4| C 4 C # C  C  C  C  C  C  C  C  C  C  C  C  C C= C E@ C / C 0 C 1 C 2 C C C D C P C Q C   C  C  C  C   C 4 C 4 C 5 C ? C  C  C C: C E; C 7 C 8 C 4< C 9 C 7$ C  C R C> C$> @F   F*nQ\aAClick to animate)+QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$"gLStart Screen` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0536/Aug 4 20030#HArial  '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':'44'!>'?'drag z@@d@ z@s@ sqv@څ#m@dragJdUt@? m@ " " " >  D>AFAF   Z(nQ\aAAnimate Objectsu@k@w@ o@>      ?$nQ\aA Move Points>      XH04nQ\aAClick to see an animation.xxJe>J4n.#DB,K/> @,K'_.#fJ>>>><0>>><0>>>>>>fJ^.#    "nQ\aA Next Pagep    ?nQ\aAMenuP?p%+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.$;] LOverview` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0536/Aug 4 20030#HArial  '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':',,@ >@ (Pu@U@@U@?     ynynnQ\aAB   熑?drag &AV? marked vector   ``?nQ\aAD.#   [JZ[JZ?nQ\aAF.#    Vx?s?dragd  .#  & marked angle.#< ]grV@bX<@?F @  -  ,   -  -  Q CR D.#dragp@``@dragpz@s@ &Ŏ0z7? marked mirror0drag the marked center?|@r@G.<0>>>>>>+G.v@o@{@o@       ! " #"$%$&$'$($)$*$+$,$-$.$/$0$ $ ]grV@ mar $ ]grV@ mar "$ ]grV@ mar $$ ]grV@ mar %$ ]grV@ mar &$ ]grV@ mar ($ ]grV@ mar )$ ]grV@ mar *$ ]grV@ mar +$ ]grV@ mar ,$ ]grV@ mar -$ ]grV@ mar .$ ]grV@ mar /$ ]grV@ mar 0$ ]grV@ mar 1$ ]grV@ mar 2$ ]grV@ mar =2$ ]grV@ mar ?2$ ]grV@ mar @2$ ]grV@ mar DB$ ]grV@ mar EB$ ]grV@ mar3$4$5$6$7$8$9$:$;$<$>$?$@$A$H$I$J$K$L$M$N$O$P$Q$R$S$T$U$V$W$X$Y$Z$[$\$]$^$_$`$a$b$c$d$e$f$g$h$i$j$k$l$m$n$o$p$q$r$s$t$u$v$w$x$y$z${$|$}$~$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$  ts 6I GI 7K 76 J J   g g       4g44 FG FK          -   Q CCS E     tf  t      $ " -  # $ - #"$'$($)$*$+$,$-$  " " "&4"Q C  b -  b7 . - 9  -  9 ; : - 64Q C>S E? >~ >p4b ~p D E>7FGI67K( >     `*nQ\aAShow Pabz ControlJJ444      C E !%/01243568<= C? E@AB4CF7GH> ?JKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~   2nQ\aAShow Translation of Pabz>    ,nQ\aAShow Marked Vector             J  J                      4  4  4                                  C   E                 !  %  /  0  1  2  43  5  6  8  <  =   C?   E@  A  B  4C  F  7G  H  > ?   .nQ\aAShow Rotation of Pabz> $    BnQ\aA(Show Center of Rotation and Marked Angle" " " " " " "J "J " " " " " " " " " " "4 "4 "4 " " " "  "  "  "  "  " " " " " " C " E " " " " " " "  " !" %" /" 0" 1" 2"4 3" 5" 6" 8" <" =" C ?" E @" A" B"4 C" F"7 G" H> ?     #0nQ\aAShow Reflection of Pabz>    8$nQ\aA Show Mirror|@r@>      {$nQ\aA Move PointP@@`@H@@`@?     nܦ\?nQ\aAL   ++9?nQ\aAM &UUUUUU? marked ratioo   LŠ?dragd       J J           4 4 4                    C  E         ! % / 0 1 2 43 5 6 8 < =  C?  E@ A B 4C F 7G H> ? !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRST   &nQ\aA show dilation>    .nQ\aAShow center and ratio> d JKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~    !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRST   N9&nQ\aA Hide Objectsn> W   XM2nQ\aAShow Translation of Pabz> W   XM.nQ\aAShow Rotation of Pabz> WUV   XM.nQ\aAShow Dilation of Pabz> W     XM0nQ\aAShow Reflection of Pabz    >"nQ\aA Next Page>    ZnQ\aAMenuPZ'+QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$;ub LParameters` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0536/Aug 4 20030#HArial   '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':'86@ #>0@ (Pu@U@@U@?     55?nQ\aAB   ?drag &AV? marked vector   ``?nQ\aAD.#   [JZ[JZ?nQ\aAF.#    /^:?~_@?dragd  .#  & marked angle.#< ]grV@bX<@?"# @  -  ,   -  -  Q CR D.#dragp@``@dragpz@s@ &Ŏ0z7? marked mirror0drag the marked center?|@r@42G.<0><0>>>>><0>>`G.7.#v@o@{@o@       ! " #"$%$&$'$($)$*$+$,$-$.$/$0$ $ ]grV@ mar $ ]grV@ mar "$ ]grV@ mar $$ ]grV@ mar %$ ]grV@ mar &$ ]grV@ mar ($ ]grV@ mar )$ ]grV@ mar *$ ]grV@ mar +$ ]grV@ mar ,$ ]grV@ mar -$ ]grV@ mar .$ ]grV@ mar /$ ]grV@ mar 0$ ]grV@ mar 1$ ]grV@ mar 2$ ]grV@ mar =2$ ]grV@ mar ?2$ ]grV@ mar @2$ ]grV@ mar DB$ ]grV@ mar EB$ ]grV@ mar3$4$5$6$7$8$9$:$;$<$>$?$@$A$H$I$J$K$L$M$N$O$P$Q$R$S$T$U$V$W$X$Y$Z$[$\$]$^$_$`$a$b$c$d$e$f$g$h$i$j$k$l$m$n$o$p$q$r$s$t$u$v$w$x$y$z${$|$}$~$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$  ts 6I GI 7K 76 J J   g g       4g44 FG FK          -   Q CCS E     tf  t      $ " -  # $ - #"$'$($)$*$+$,$-$  " " "&4"Q C  b -  b7 . - 9  -  9 ; : - 64Q C>S E? >~ >p4b ~p D E>7FGI67K( >     `*nQ\aAShow Pabz ControlJJ444      C E !%/01243568<= C? E@AB4CF7GH> ?JKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~   2nQ\aAShow Translation of Pabz>    ,nQ\aAShow Marked Vector             J  J                      4  4  4                                  C   E                 !  %  /  0  1  2  43  5  6  8  <  =   C?   E@  A  B  4C  F  7G  H  > ?   .nQ\aAShow Rotation of Pabz> $    BnQ\aA(Show Center of Rotation and Marked Angle" " " " " " "J "J " " " " " " " " " " "4 "4 "4 " " " "  "  "  "  "  " " " " " " C " E " " " " " " "  " !" %" /" 0" 1" 2"4 3" 5" 6" 8" <" =" C ?" E @" A" B"4 C" F"7 G" H> ?     #0nQ\aAShow Reflection of Pabz>    8$nQ\aA Show Mirror|@r@>      {$nQ\aA Move PointP@@`@H@@`@?     {OݸM?nQ\aAL   Q|?nQ\aAM &UUUUUU? marked ratioo   :l?dragd       J J           4 4 4                    C  E         ! % / 0 1 2 43 5 6 8 < =  C?  E@ A B 4C F 7G H> ? !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRST   &nQ\aA show dilation>    .nQ\aAShow center and ratio> d JKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~    !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRST   O&nQ\aA Hide Objectsn> W   XL4nQ\aAReview Translation of Pabz> W   XL0nQ\aAReview Rotation of Pabz> WUV   XL0nQ\aAReview Dilation of Pabz> W     XL2nQ\aAReview Reflection of PabzLJOX6>OX.#Y>Yr.#>  ]\   O<0nQ\aAClick to show answers.b    @"nQ\aA Next Page@>  ]\   <&nQ\aA Hide Answers     ZnQ\aAMenuAZ$>  W`   XS*nQ\aAPresent 2 Actions+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.$ʵLTranslations` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0536/Aug 4 20030#HArial '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':'0.' >et' ,.#15>>>>>>>>>>>>15.#Ap@j@B|@j@ Y@Pt@g@n@ j@pr@    4 xv4qb>>>4qS.#>     <XnQ\aA?????    "nQ\aA Next Pagen    4nQ\aAMenuP4e$+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.$ LReflections` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0536/Aug 4 20030#HArial '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':',*' >' ,.#15>>>>>>>>>15h.#Av@u@Br@j@ e@s@ o@o@ q@`s@    4 tt4q`>>4qG.#>     <XnQ\aA?????I>I].#    !"nQ\aA Next Page!p    3nQ\aAMenuP3d++QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$< LRotations` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0536/Aug 4 20030#HArial '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':',*' >' ,.#$$15>>>>>>>>>>>>>K15y.#A@v@q@e@s@ o@o@ q@`s@  4tr4q^>>>4q=.#>     <XnQ\aA?????I<0><0>>QIH.#    "nQ\aA Next Pagen    .nQ\aAMenuP._,+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.$ LRotations` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0536/Aug 4 20030#HArial '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':'44' >>' 3,.#Aw@w@k@pw@@r@s@ 0t@@w@  4<:3A&><0>>>>>>>>>>>>><0>>>>3A.#j@W@@W@?      e?E   0r?D  v<8oR?ܞ?C)1  <0>C  >      "nQ\aA How do I?~>>>].#    ""nQ\aA Next Page"q    ;nQ\aAMenuP;l%+QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$; LDilations` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0536/Aug 4 20030#HArial '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':'44' !>' 0,.#PP15=>>>>>>>>>>><0>>>15.#A@v@q@e@s@ o@o@ q@`s@  4pp4q]>4q:.#>     <XnQ\aA?????     #"nQ\aA Next Page#r    :nQ\aAMenuP:k&+QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$w LArrow Tool` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0536/Aug 4 20030#HArial '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':'HF' 2>:>>' ,.#&a<0><0>>&a.#A~@p@ǔt@X0!u@}!`Gx@jլ'Um@ P{@nUr@  4+p>>>+pb.#>     1VnQ\aA?????N !!*;\3A! HH! !2!2@@! !rtiffappl!HH24TIFF (Uncompressed) indx tifcMM*1g#=H)359$%*'$#*(')()',(,(*))()('&'&'&'&'&'&''('(+,!"!"./#$,-/0O(-/)- !(%,#+/8((/9! '1¿ĿŸ½̺ƿȾ¼ǿ¾öǼ´խкθ̷c+8б(%0չݦ$:HɟA;=دOOO޴RRR+CѝE@DڭWWWݫ<<<-AYџ504ᲲVVV߶YYY 3Dě621߯BBB ݡVVV  *=KþC?>߭ZZZ ްIII"6A½@?=ޮIIIޫRRR&3C þ@?=ޮUUU٫RRR..Hƽ?=@ޮWWW ᫫RRR0-L  ˼û³= ޮPPP䫫RRR  $5? ÿ½~98= ޮLLL  ޫRRR$5? þ|98=ޮPPP ⫫RRR %2C ð::<ޮRRR䫫RRR%2Eø}}}999ޮRRR׫RRR &3Fȿooo888ޮRRR 髫RRR'4G֯ưwww777 ޮRRR ޫRRR (5H555ޮRRR ޫRRR(5H嵵vvv444ޮRRR䫫RRR)6I ͸ijvvv333ޮRRR׫RRR)6ICCCsss333ޮRRRܫRRR +>GGG888nnn...ݮQQQެRRR )6I)))AAA444uuu333ۯTTTޯWWW -@???444}}}///خNNNݨQQQ#0C;;;yyy111ܱUUU୭TTT(5Hıuuu,,,جTTTۮSSS -@˼mmm,,,ڰKKKᩩOOO&3FȺ}}}888ٸRRRۯXXX*9N¬uuuzzz423涴SQRύTTT纸#8M_L_ZJTQHKMRNMSORTSHFGUPTRPSSUTEJFSSQSRNSSSFFFVVVIIISSSBBBRRRKKKJJJEEEJJJAAAEEE666::::89?9=KEIVQWTRUSSUJJLQRTPQSTVUGIHRTSOQPTTRIIGRRRQQQUUUHHHSSSPPPTTTIIIRRRQQQUUUHHHSSSPPPTTTJHIVPTTOUSQTTTVJJLQRTPQSTVUGIHRTSOQPTTRIIGRRRQQQUUUHHHSSSPPPTTTIIIRRRQQQUUUHHHSSSPPPTTTIIIRTQOQPXNWWMVOIMSQRPRORWQEJDPUQOQPTTVJHKRRRQQQUUUHHHSSSPPPTTTIIIRRRQQQUUUHHHSSSPPPTTTIII !212$2,( ' ' ( QuickTime and a( TIFF (Uncompressed) decompressor( are needed to see this picture.B DIB(f3f3̙f3fffff3ff333f3333f3f3f3̙f3fffff3ff333f3333f3f3̙̙̙f̙3̙̙̙f3fffff3ff333f3333f3fffff3fffffff3fff̙ffff3fffffffffff3ffff3f3f3ff3f33f3ffffff3ff333f3333333f33333̙33f3333f3f3f3ff33f3f3333333f3333333333f3333f3f3̙f3fffff3ff333f3333f3wUD"wUD"wUD"wwwUUUDDD"""dddddkdddjdddejddAjddAjdej@dkdd֬+++++++++++++++++++++++++++++++++++++++++2$*+2*+**+++V++++%+%%%+++*%*++++$*%**+*++++V*++++++++**+++V++++++$*,*++++++V%+*++V++*%+%%+%++++V+++$++%%+++++++,++++++++++++++++++++++++*+++++++++V++++++++++++*+++++++1%++++++++$*%*+**+++*+O+O+++++++++%*++%*%$+++U+++++++++$%+*+++++P+++++*%%++++++2%+++*%+%++,++%+$%++,*+++++*++++++V+++++$+++++++*+++++++++++++*$+*+V+++++$*%+$++++++++++*+%++++V+++++*%+++V+$++VV+*+++V+++++++*%+++VV++++++++%*+++++++++++++++*++++++$++++++V++++++UVVVVVVVV.#E@M@E@V@ .#e@V@ .#e@M@ .# .#     ""nQ\aA Next Page"q    <nQ\aAMenuP<m)+QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$LQuick Summary` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0536/Aug 4 20030#HArial'''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':',*#>#'.#%1>>>>>>>>><0>>>>>>>>><0>>>>>>>>><0>>>>>>>>><0><0>>TX%10.#TR7>>[7uK.#>     ""nQ\aA Hide Text    9nQ\aAMenuT9j%    ,nQ\aAReturn to Beginnings+QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$!LGrids` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0536/Aug 4 20030#HArial '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':')nQ\aAC t@j@4( 4bX<@: &  nQ\aAx6( 6bX<@: &  nQ\aAy='  AX,u@z_@BX,u@Nf@  -  dragpP@>><0><0><0>>0{@g@ 0{@_@  5 A'k B'k      5 1" TT@>>>>[1" TT@>>>>1" TT1A>>>>1" TTFA>>>>-#{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$.LSkateboarderArial nQ\aACnQ\aAA  nQ\aAD  nQ\aAE  nQ\aAA   nQ\aAF                 $ ]grV@ $ ]grV@ $ ]grV@  $ ]grV@  $ ]grV@  $ ]grV@ $ ]grV@ $ ]grV@ $ ]grV@ $ ]grV@ $ ]grV@ $ ]grV@ $ ]grV@ $ ]grV@ $ ]grV@ $ ]grV@ $ ]grV@ #$ ]grV@ %$ ]grV@ &$ ]grV@ *($ ]grV@ +($ ]grV@         ! " $ % & ' . / 0 1 2 3 4 5 6 7 8 9 : ; < = > ? @ A B C D E F G H I J K L M N O P Q R S T U V W X Y Z [ \ ] ^ _ ` a b c d e f g h i j k l m n p q r s t u v w x y z { | } ~                                                                             ZY / -/ 1  J J   jM Mi ij      4jMi44 ,- ,1       k k  - nQ\aAG j Q Ce)S E e    ZL nQ\aAH Z   nQ\aAI  o   -  nQ\aAJ   -  nQ\aAK          n| | n  4n|Q Cs  H - nQ\aAL H  - nQ\aAM - nQ\aAN !   - nQ\aACQ C$S E% $d $V4He dV *nQ\aAB +$7,-/1( knQ\aAP[1] {A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$LAngle sliderArial nQ\aADnQ\aAE %  nQ\aAA