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.$E2LTitle` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0516/Jul 31 20020#HLucida GrandeArial
GenevaG0
'''$'$'$'$'$'$'$'$'$'$' $'
$'%'
&'8'8'8'9':'Zl<0><0>>>>Zl0A3do@JLi@@p@ @`r@
\?l8ߊB@2@1
D4 `UU?1 ?pG?v ?nH?u 
J?jc@x@g@y@
YM?<
D>AFBF
(nQ\aAAnimate Points(#QThat document was created with a newer version of Sketchpad and cannot be opened.This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$LGeometry Std.` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0516/Jul 31 20020#HLucida Grande'''$'$'$'$'$'$'$'$'$'$' $'
$'%'&'8'8'8'9':'K]><0><0>>>><0><0><0>>K]=
_*nQ\aA68 expectations_q(#QThat document was created with a newer version of Sketchpad and cannot be opened.This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$L68 expectations` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0516/Jul 31 20020#HLucida Grande
GenevaG
'''$'$'$'$'$'$'$'$'$'$' $'
$'%'&'8'8'8'9':'K]o>><0><0><0><0>>>>>
K]
1*nQ\aAReasoning & Proof1A(#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.$1LR & P Std.` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0516/Jul 31 20020#HLucida Grande'''$'$'$'$'$'$'$'$'$'$' $'
$'%'&'8'8'8'9':'K]><0><0><0>><0><0>>K](#QThat document was created with a newer version of Sketchpad and cannot be opened.This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$JLStandards on proof` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0516/Jul 31 20020#HLucida Grande'''$'$'$'$'$'$'$'$'$'$' $'
$'%'&'8'8'8'9':'B>>>>><0><0>>oB%(#QThat document was created with a newer version of Sketchpad and cannot be opened.This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$JLKinds of proof` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0516/Jul 31 20020#HLucida Grande'''$'$'$'$'$'$'$'$'$'$' $'
$'%'&'8'8'8'9':'TRG><0>>duG(#QThat document was created with a newer version of Sketchpad and cannot be opened.This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$SLDynamic Geometry ` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0516/Jul 31 20020#H
Geneva*ArialLucida Grande
'''$'$'$'$'$'$'$'$'$'$' $'
$'%'&'8'8'8'9':'``M><0><0><0><0>>$"T<+>@nQ\aAt[3]Tq$"L<+> nQ\aAt[2]L4k$"1A<+>@nQ\aAt[1]1AM`A{@Pu@BP{@y@@1@2<;f;f?F@.@.@c 颋.?a/?mD.?nE?
?s
eM6dӿ
//?k
/>)A@C@4@3W7L?b
/ /?rF.?wL??c
ҽeڿ~ڜO?c/"?u"@5"@6#%J/"?t'$H()(/" ?X
,/o^*@@
+
.
֗?R(/?a/"@8,1N ,@
3!@
3
5
!XG?P6@77M68?d6:(?y&?zZ;*((8>>Z;;((`>>6?x586?28?e
4
?QE@9 FQEHZ;I((>>E?h5GE?3G?kEG?j72&/(`UU?12?g2?f/&?b>
",<=>?@6ABCD9EJKLMN/OPQR0( m$nQ\aA
Pythagoras(#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.$cLGSP & Geometry` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0516/Jul 31 20020#H
GenevaVLucida Grande'''$'$'$'$'$'$'$'$'$'$' $'
$'%'&'8'8'8'9':'HH'4><0>>>>><0>>>>>>>>>'(#QThat document was created with a newer version of Sketchpad and cannot be opened.This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$i>LPolya on Conviction & Proof` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0516/Jul 31 20020#H
GenevaV'''$'$'$'$'$'$'$'$'$'$' $'
$'%' &'8'8'8'9':'7>>>>>>>>>>>>><0>>><0>>o7(#QThat document was created with a newer version of Sketchpad and cannot be opened.This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$VLKline on Proof` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0516/Jul 31 20020#H
GenevaV'''$'$'$'$'$'$'$'$'$'$' $'
$'%' &'8'8'8'9':'pp9K\>>>>>>>>>>>><0>>>>19K{(#QThat document was created with a newer version of Sketchpad and cannot be opened.This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$LLaborde on proof` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0516/Jul 31 20020#H
GenevaaLucida Grande '''$'$'$'$'$'$'$'$'$'$' $'
$'%'
&'8'8'8'9':'A@[@@h@B@[@z@CY@z@D@]@z@E@[@0@H`a@h@Ir@ l@JPs@@l@KPs@Pp@Lc@r@Mr@p@N@c@0s@O@c@t@P`c@Pu@Qr@v@Rr@w@Sr@x@T@d@y@Ur@y@nQ\aAB@ w@nQ\aAAx@Pw@nQ\aAC`r@j@nQ\aABs@l@nQ\aAAr@l@nQ\aAC c@z@nQ\aAAa@{@86J">>J3N CCZFACHHC
:"
1\
O#, Helvetica
.+
Expert
\
:1;!Mc
B#
A(Theory
!;
:1;M^
M#)Diagram;
: #qJ<XHXBJ<JHXB iAPA"q"jq^"q""qqqzq"Т"qmuqmuq"q"q
"q^"q*55**5""qHqPMqH{PMq"@Т
1{
")
Produced text
{
:1b
P#)Novice
:1;aM
B#
A(Theory
a;
:1;M0
N#
M)Diagram;
: #q"]*"q""q)))"
1ze
:"ff
9)??ez
: #q"*"q?MM??M"*B DIB(C_İf3f3̙f3fffff3ff333f3333f3f3f3̙f3fffff3ff333f3333f3f3̙̙̙f̙3̙̙̙f3fffff3ff333f3333f3fffff3fffffff3fff̙ffff3fffffffffff3ffff3f3f3ff3f33f3ffffff3ff333f3333333f33333̙33f3333f3f3f3ff33f3f3333333f3333333333f3333f3f3̙f3fffff3ff333f3333f3wUD"wUD"wUD"wwwUUUDDD"""V++++++VV+++++VVV+++++++VVVV+++++V+VV+VVV+V++VVV+V+VV++++VVV++++V++++++++++++++VVVVVVVVVV+++++++V++V+$ǝ$$ǝ$$N$NxNxN+++++**+NNNNVVNNNN++++++NN+++++++++VVVVV+++++++++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.$۲LDe Villiers' Model` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0516/Jul 31 20020#H
Genevaa'''$'$'$'$'J$'$'$'$'$'$' $'
$'%' &'8'8'8'9':'&?<0>><0>><0>><0>>><0>>><0>>>&?(#QThat document was created with a newer version of Sketchpad and cannot be opened.This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$LDe Villiers' Progression` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0516/Jul 31 20020#H
Geneva*'''$'$'$'$'$'$'$'$'$'$' $'
$'%' &'8'8'8'9':'@,<0>>@,\V$><0><0>><0><0>><0><0>><0><0>>y V$kAy@U@By@\@Cz@Y@D y@Y@Ay@e@By@ i@Cz@g@D0y@g@Ay@pp@By@0r@Cz@q@D y@q@Ay@`v@By@ x@Cz@w@D y@w@?j?k?l?j ?k
?l?j
?k?l?j?k?l(#VQThat document was created with a newer version of Sketchpad and cannot be opened.This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$dLMidpoints in a quad` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0516/Jul 31 20020#HLucida Grande
GenevaG
'''$'$'$'$'$'$'$'$'$'$' $'
$'%'&'8'8'8'9':'Af@j@BPz@`h@C @}@Db@`@EHIJ
>
&nQ\aAShow Segment7QThat document was created with a newer version of Sketchpad and cannot be opened.This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$
LMidpoints in a triangle` a
b c d e f g h i j k l m n o p q _ ,#GSP4_M_0516/Jul 31 20020#HLucida Grande
GenevaG
'''$'$'$'$'$'$'$'$'$'$' $'
$'%'&'8'8'8'9':'Ab@`d@B@`r@Cc@w@LM>
&nQ\aAHide Objects7$(# 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.$ALMidpoint Quads of Diff Quads` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0516/Jul 31 20020#H
Geneva*Helvetica
'''$'$'$'$'$'$'$'$'$'$' $'
$'%' &'8'8'8'9':'B@R@c@Cq@b@Dg@E@dbO7O>enO7_IT@pq@J g@pp@Kw@t@L`b@q@\Z6F>ati68}p> }?k?l@c1s@c2sEF

M

N?n?r?s?t?uOPQR?v?w?x?y5?p2s}@ y@@{@!"@v@/$#
%/[?!$"&!&$"$&'*(),..//,5,./1@C@5@R@56
7X~$?5Q%NۿA8?m9H:?q8?j<G5:=?p1s=:?p=?o>
T!"#$&'()*+,./01234
e&nQ\aAHide Objects(#
!"#$'()*+,./0123489:;<=>?@QThat document was created with a newer version of Sketchpad and cannot be opened.This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$}LWhy start early?` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0516/Jul 31 20020#HLucida Grande'''$'$'$'$'$'$'$'$'$'$' $'
$'%'&'8'8'8'9':'}g>08}g(#QThat document was created with a newer version of Sketchpad and cannot be opened.This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$YLThe end` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0516/Jul 31 20020#HLucida Grande'''$'$'$'$'$'$'$'$'$'$' $'
$'%'
&'8'8'8'9':'TTN'A>>>><0><0>>>><0>>N'(#QThat document was created with a newer version of Sketchpad and cannot be opened.This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$MLContact info.` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0516/Jul 31 20020#HLucida Grande'''$'$'$'$'$'$'$'$'$'$' $'
$'%'
&'8'8'8'9':'\ZdG>tid:K<0>>>:K8(#