GSP4QThat 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.$ALParallelogram` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0502/Apr 18 20020#` Ariale'''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' Bh@@@Ac@@? @ ?j   A.U?E   9t?D   %P6C?C `B?base/ ?o/ ?n/ ?k  @c1e  /̿G -  F  `?height.  ?m.  ?l - K -  J - I -  H ?afg  ?x ?w ?v ?t@  ?p  B!I?O  N   M>     JvSlide>     v ReturnO'u  @c2u  ?yJ'uM'u ?qM'u $&?aju #$?aiu4$#UUUUUU?p4u5U&$?p2u5#?p1u!  @c2'! @c2' - !P #?u%?q'& M'' &?r41&UUUUUU?p3U 1?ag .?ae,  @c2''n - ,R - ,Q.P'' &1?s>  43:)(/   wHide>  43:)(/   uFill  9?adl 87?acl8 Q'l7 R'l ?@?abl(#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.$9n LTriangle` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0502/Apr 18 20020#`MS Sans Serif Arials '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' ,,  ,,hh0. F Fg,*) ?E@Z@@B@@@Ae@@> @   Hide>    nZShow>    -Hide>    p>Show>     Hide>     o$Show?  ?j>     uHide   F?D   uPu#?C ?m ?l ?k H G F5?p7e4UUUUUU?p6e4UUUUUUU?p3eU ?u ?t ?s ?r ?q ?p ?o ?n $rϥwg) V@D'@P Ca1@  op>?L>    Hide>    R%Show $ CK>    Hide>    1Show $ C?J $ CI>  (#   F$ Move K->D' %$?rϥwg) VD'L'>  (   {" Move K->D>  (   a" Move K->E(?r'e(?u'e(?q'e(H'e>  +   " Move J->E>  +   " Move J->D>  +#   $ Move J->D'"+?n'e+?s'e+?t'e+F'e>  ,   C" Move I->D>  ,   )" Move I->E>  ,#   $ Move I->D',?l'e,E'e,?k'e,C'e,?m'e .$?rϥwg) VD'L'' .?x..L''.L''44(UUUUUU?p54U+;UUUUUU?p24UB,@UUUUUU?p1U D?ae/ D ?ad F$?rϥwg) VD'L''' F?z G?y .GO@?baseFL'''> 132H   Y@Hide> 132H   =Show> :I89   ?Hide> :I89   Show> ?CJA   wHide> ?CJA   ]Show M?afw/ M ?abw Q?aaw FQ A? base>  <V   $Reset> W>=   % Double> Z[N   WHidee> Z[N   Showe/ Y?acw> _&S-0   [  base> /R'^   ZReset - `YN - `LM d?ake cM?ahe dD ?height fO hM"!? height' h?aie> jiX   DHideg> jiX   Showg> 5*Tk   ?Reset> lU)76   @" height'QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$WLLQ1` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0502/Apr 18 20020#` Arial  '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' ^@؀@@@؀@? @  @  ?nQ\aAD n  [Hg?nQ\aACn  n bi?X $вV@P C  C     B    5 >       &nQ\aA Show Objects> n      $nQ\aA Move Points> n      /&nQ\aA Hide Objects> n      D&nQ\aA Show Objects> n     Y&nQ\aA Show Objects> n      n&nQ\aA Move B -> C'> n     $nQ\aA Move B -> X> n     $nQ\aA Move Point> n(      1&nQ\aA Hide Objectsn $вV@ects  nQ\aAEn  n;f;fnQ\aAFn    !" "# #   ! $вV@ects $вV@ects ( () )5() $в<f@ects $в<f@ects $в<f@ects /. .) )0 0/5/.)0 $?вVects / /6 6 5/6>      &$nQ\aA Move F -> C> n-*+,   ;*nQ\aAShow Path Objects> n  .   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The document will open as a copy.$q5LQ2` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0502/Apr 18 20020#` Arial MS Sans Serif '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':') A~@pu@4(@ 40C@B: &  nQ\aAx6(n 6\.B@: &n  nQ\aAy='n  C8nC AC8C @D ?j?  ?m  `UU?D'  SXCx~?B  G  $rϥwg) V@D''  ?k  ?l D''' ?aa' F H ?ab'  ?ac'  $rϥwg) V@C $rϥwg) V@H'@>     Square>    iHidee D H''"  F''"  H'' ?p  ?w"  H'''e"  F'''e ?q  ?s ?t ?u ?v  ?x5 ?p1' !?o ! ?r "?y "?z5 "?p2'*2)  <<0>m1'> %$   3Max> %$   i1Hidee> #*+   QMax'e> #*+   jOHidee> .-,(   oClone> .-,(   jnHide-#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.$$:LQ3` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0502/Apr 18 20020#` Arial MS Sans Serif'''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' A;@@@Bu@@@HZ@t@@I@t@? @ ?j?  ?o   +T?C  $rϥwg) V@?j'@   ;;?A   {%G0?C ?j''C'   J?D  ?j''' C''   t?E  ?p  D' ?j''''   g4?F  u_?q   @c1' E''   hZ?G  `d?r   @c2' - O - P  C'' !4?s - M - NQ Ca2   @c3 C'''Q C a1' - "R - "S  # @c4' - !$DQ C&%a3' - 'T - 'U  (?p ( @ ?qQ C+#*a4'- ).B  /*?r / @-?s5( / ?p1' 0W 1X*22  <0>nm1'/ 30?t/ 41?u - 76Y 8/ @c5'> 9   2 CircleQThat 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.$QLQ4` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0502/Apr 18 20020#` Arial MS Sans Serif'''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' Ax@@@BE@@@C`}@U@@Pp|@u@@F0x@s@? @ ?j?  ?k  @c1 $F-D>￝MfA'@  ?o@  ?p nx\"?%GyB0?G  $F-D>￝Mf?j'  $F-D>￝Mf?k'  ?aa?   ?m -  B - C>      3NA'>      OHide - X - Y ?n  ?q  ?rP Ca1e ?x ?y $rϥwg) V@K'@4UUUUUU?p104UUUUUUU?p2 -U M  CN - O - P - X>    3ABC>    Hide>     3h" Parallels>     kHidel ?aee ?afe*2  %<0>km5e !M'e !?u"!O'e5#?p5e5$?p6e4"UUUUUU?p7e4U UUUUUU?p8e> U !   ,$ Move N->K'>  !   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The document will open as a copy.$LQ5` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0502/Apr 18 20020#` Arial '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' CM@ u@@BH@r@@A@u@@ ?j@  ?o  @c1 D - L  @c3/ ?p $h3z뿯^@L'@ ?ae@-  G-  H  $h3z뿯^@L''   $h3z뿯^@?p'@@   ?k@  ?l  $h3z뿯^@?p'' -  V   f?I -  M -  N - U -  W. ?y.  ?z  $rϥwg) V@V'@  @c4@. ?qP Ca1@ - X -  Y -  Z/ ?aa@P C a2@ ?ah@ ?ai@ ?aq@ ?av@ ?az@ ?bg@ - J  C?S - T - #AC@ - #AD@ $ C?AE@  !?af@  "?ag@ !?ao@ "?ap@ "!?ar@  ?be@  ?bf@5! ?p8@5" ?p9@4"UUUUUU?p174U! UUUUUU?p16U "?bl  !?bj !?bh> "   Show> "   Hide@  +?m ,?v!  0Y'e 0 ?abe" 0AE' ./?aj>  ,-   +" Move S->T>  ,   F" Move S->N>  ,   a" Move S->M> 67*    "Bisector> 67*   uHidet> 9   %Hidet> 9   Showt>  0   ^u$ Move AE->U>  0   ^[$ Move AE->V>  0   ^A$ Move AE->V'4/UUUUUU?p134U. 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UUUUUU?p10U y?ay4yUUUUUU?p24UUUUUUU?p3U ?bc> Dy!= T ./Sz9<   kHide> Dy!= T ./Sz9<    "Show> D .T =!yz/S<9   Hide> D .T =!yz/S<9   Show,R'w ?u> aW    " Isosceles> }(   zShowe> }(   H{Hidee> }(   hRS2> }(   Showe> y   End1e> y   $ Remove end>     <(Show parallel 1>    ?Hidep>    hHidep>    Showp>    g#End2p>    "Hidep>     q(Show parallel 2>    tHidep4,UUUUUU?p5eU ?x ,?w>      MRS1> B,   :Hidep> B,   n>MT1>     <& Remove strips> GH   |< Rotates>    T Returns>      Rotates>  I   s Returns> \uohXZV`KL   Reset>     ResetQThat 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.$ [LQ7a` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0502/Apr 18 20020#` Arial MS Sans Serif'''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' D@@i@@C@@@A@@U@@Bd@@@ @ ?s ?l ?k ?j. ?n. ?m  .g#jɿE?   ?x@   ?t  ?p.  ?o   ?I -  P -  F@  ?at?  ?ab?   ?z?  ?y%0   (<0>m2 ?w ?v ?u ?r  ?q>    rHide>    XShow>    >Hide>    $Show   @?J  H>  "   "Tangents>  "   J Dilates@  !?aua?  !?aea?   !?aaa%0 "  <0>Jm1a - 'K0 3 (b A<0> B0``m3a!*?p'a! *E'a!*?q'a!*F'a!*?r'a?  )?aca - /%ABa - +AAa?  .,?aka?  ".?aja?  ,"?aia - 0L 4  @?S 5  ?R?  6?ada>  82   $ Move R->AA>  71   n$ Move S->AB?  87?ape?  .8?ame?  ,7?ale - 9M>  ;:   "SequenceB - =>T ?! @c1u?  "A?anu B`!o?dN - C3U?  ?D?afu?  8E?aou -  FP - F&O - G4V?  H!?ahu?  I6?agu J7 @c2u - KLQ M l8g@}Cy?W#*( NBDFHIKLN  (-DT!@Q?  JO?aq - 5QY - Q<X?  R7?as?  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'?ah%0 '  ><0>-m4%0 '  ?#<0>-m5>  (    Targets>  (   nHidet - *H - +M ,3o[n ?R ,a"R?%W> )    Cevians> )   nHiden0 3 ./b :<0> B0``m10> ./    Lengths> ./   mHideh 2?r 3?v?   4?abe?   5?aie0 38"#r M<0> R0  `  `  ` m13> 8"#    Ratios> 8"#   mHides ;I <N - >-X> ?    Product> ?   nHidec 2B$rϥwg) V@sH'@ B ?s C$rϥwg) V@sC'@  C?wQ C2Ga1@ HJQ CI3a3@ JO  L$rϥwg) V@sD'@ CN$rϥwg) V@sN'@Q C OBa2@Q CCP a4@- QKK - RMP/ S?t/ TJ?x - UL - VQ?   X?z?  X'?aa@?  'W?ac@?   W?af@?  W ?ag@ - =ZS - [T - Z\Y?  _^?ad@?  `D?aj@ - aYU - b]Z?  Wc?ae@?  Xd?ak@ - e=V - f>AA@#*( g,4=^aceg  (-DT!@V#*( h,5>Dbdfh  (-DT!@AAQThat 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.$=LQ8 & 9` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0502/Apr 18 20020#` Arial(-MS Sans Serif'''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' Au@@@B0@p@@CB`}@威hV@ 3@r <0> R0    m1'KPsfݷcp@{-o@@Lu@@@M0@p@@ ?j ?k ?l!C' $o!z?TgR@B'@ $o?!z?TgRA' ?ag ?ah ?ai4UUUUUU?p1> U    ]" Move L->A>     w" Move M->B>     " Move M->C>     " Move K->B>     " Move M->A.  ?m.  ?n.  ?o@   ?w@   ?x>      4"Triangle>     f4Hide - D - E - F ?p ?q ?r ?s ?t ?u ?v>       Regular@ ?y@ ?z@ ?aau@ ?abu>     " Move K->D>     " Move L->E>     End *  Y&kX`?G )  4-Y?H +  z}?I ,  r 9?J> -    (Start position> .    O"Sequencei> !    g"Paralleli> !   ahHidel 0?ace 1?ade 3?aee 2?afe> 89;:    Extendl> 89;:   _HidedQThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$VLQ10` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0502/Apr 18 20020#` Arial  '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' nQ\aAAv@w@@nQ\aAC@w@? @ @B@j@? @ ? @ /@ /@ /@  -@   -@  -@ @ $вV@                  $вV@              $вV@ ##    $ $% %     # #$  nQ\aADn .n. 0 " ?E 2P C 4 CnQ\aAFn55 556 69 95>  .    $nQ\aA Move D -> C> n 5    $nQ\aA Move Point> n 2     '$nQ\aA Move Point> n 2    <$nQ\aA Move E -> A> n 5    Q$nQ\aA Move F -> C> n .     f$nQ\aA Move Point5n0.5659> B1/   .q$nQ\aA Show LH red> nB1/   0nQ\aAHide > nC7:;8   83*nQ\aAShow Path Objects> nC7:;8   8H*nQ\aAHide Path Objectsn252H H> I3J   .nQ\aAHide > nI3J   /$nQ\aA Show RH red> n$L?FK@DGA   / nQ\aAR -> L> n$D<FE=LG>   . nQ\aAL -> R4n5  5 $%5 $#5 5 5 > TUSRQP   -J(nQ\aAShow rectanglesQThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$]LQ10b` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0502/Apr 18 20020#` Arial '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' AP|@ v@@BZ?@̯a@r@@CȂ@ v@@ @#?c ?b `?a $?rϥwg) VC' $F-D>￝MfC'4*?p1 EP Ca2   @c2  C?D  L?b+?F>      GOpen>      Close  u?a D's  p?c B's C's  ?b>     90s?a  @?a  ?eB''f?cA2?b B''C''4 UUUUUU?p25U S?p10@  ?ao@  ?ap@  ?aq ?c q?d ?e B''' D'' B'''4UUUUUU?p3'4UUUUUUU?p4'5U ?p8'5?p9'  ?f  ?b  ?al' ?am'  ?an'>  +&   .$ 1 triangle> /,&+    eHidea> /,&+    " Triangles' `?e (`U?e )$F-D￝Mf@sD''' *#?d*B''''5 (?p11> 123   (Small triangle> 123   Hide  - #1G - "2H - $3I 9?ake ;9?aje ;?aie 9 @L?f9D'''':B?d ;*@q?d *9`U?4b' (;m?4c'5;(Kh?p5'59*?p7'5*;?p12 ??ar @?as A?at> DCB   zlHide> DCB   j& Big triangleeE\A?f F9w6?f F Ϻ?4a 5F ?p6 5F9?p13> N?O@PA    Extenda> N?O@PA   Hided> L7(8'<SFT9WE:*H;GM   [5Hide> L7(8'<SFT9WE:*H;GM   3 Squares> UVILJK   QRHidee> UVILJK   OQuadsQThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. 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The document will open as a copy.$!L64=65` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0502/Apr 18 20020#` Arial   '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':') AQ@(@(@B5[@(@@B' $rϥwg) V@B'@B''B' $rϥwg) V@B''B'''B''B''B' $rϥwg) V@B''' $rϥwg) V@B'' $rϥwg) V@B''''  $rϥwg) V@B'''  $rϥwg) V@B'''  $rϥwg) V@B'' B'''' B'''B'''B''B'''' B''' B''' B''B'''B''B''B' ?x B'''''B''''B''''B''' B''' B''' B''B'''B''B''B'B''''B'''B''''B'''B'''B'' B'''''B''''B''''B'''B''''B'''B'''B''B''B''' B''' B'''' ?y B'' ?az  ?bg  ?bh ?bi ?bk* B'''''+B'''', B'''''-B''''.B''''/B''' *B'''' *B'''*B'''*B'' *?r 7?s %?u ?v ?w  =?ao 2?ap /?at 7?aw >AE  2?bb  ?bd !@f?be "?bf )?bl (?bm '?bn &?bo $ ?bq # ?br 6?bz 5?ca 4?cb 3?cc 1?cd 0?ce - Y^AR - [BAQ C?k 7C?p C*?q H/?aq T AA U AC V$rϥwg) V@B'''' WAI' ;I?bs' :J?bv' 9K?bx' 8L?by' G.?cf' F-?cg' E,?ch' D+?ci'5h?p10 - SiY - liZm AA'/ mT?av>  m/   /& Move AA->B''>  m   /5$ Move AA->A'nAC'n AC'>  n7   /N& Move AC->B''>  n   /g(Move AC->B'''' o @c9e  p$rϥwg) V@>B''B''*2y  0[<0>gm6 2z?ar {/?as|AA''/ T?ay' 7kS'^?Wύ6~n?AF' %{?ba'   @c10 z?bcQ C/a3 AH hع޿X$ ?AJ AL> zi{    6Show dissection of rectangle  CAGw %$rϥwg) V@sectB'''Q C 2a4' $rϥwg) V@sectB''''ooB''''%oB'''>  /   & Move AG->B''o>     (Move AG->B'''''  CAKe4UUUUUU?p8eU% B'''A B''''>  2   /(Move AK->B''''>      /$ Move AK->B'*2  0<0>m3e4UUUUUU?p9e> U~   @,Square -> Rectangle>    Z,Rectangle -> Square ?bpt0 3 b <0> B0``nQ\aAm[3]n*2n  0-<0>Zm4]0 3 b <0> B0``nQ\aAm[4]n@ n  { -n }nQ\aAA5n|m?p6]*2  0<0>Zm2]0 3 b <0> B0``nQ\aAm[2]n@ n z= -n nQ\aAC5fnn ?p7]*2  +<0>Zm1]0 3 b <0> B0``nQ\aAm[1]n0 3nj '<0> J0````>    u$ Show areas>>    '& Show coloursS % > |xXYZ?@AB[\]^_`abcdSefluvwqrst   "nQ\aA Hide Grid> nDCDEFGHIJKL !"#$%&'()*+,-./0123456789:;    $nQ\aA Show Pointsn %=n = > nOR=   2nQ\aAShow dissection of squaren((>n,,|> |nTRq>>qQns@h@@nQ\aADs@ s@@  @@  @@  @nQ\aAEn $?вVsect55f55I;tta>>>>>>>>    t$nQ\aA Show areastQThat 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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