GSP4OQThat 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.$Z LTable of Contents` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0594/Aug 28 20060#HComic Sans MS Genevaa  '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':'<0>>cT3w>>T3    [<nQ\aA"Triangle Midpoint Theorem w/ ProofX[    [0nQ\aAQuad Midipoint Theoreme[    [NnQ\aA5Regular Polygons thru Rotations around a single point[m!    [$4nQ\aAConic Sections - Parabolasi[$4     [7>nQ\aA$Conic Sections - Ellipses/Hyperbolasd[7G     [J0nQ\aATrig & The Unit Circlee[JZ     []*nQ\aALinear Functionsi[]m     [p,nQ\aAQuadratic Functions[p>     g5,nQ\aAReset presentation    [>nQ\aA$Tangents to the Curve/The Derivatived[OQThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$"(LTriangle Mid-point Conjecture w/ Proof ` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0594/Aug 28 20060#H GenevaNComic Sans MSg  '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':'Aa@`w@Bj@^@C0{@w@    D E F     XXJ;E>J;O@  >    Cw"nQ\aA Extend DE. >    C<nQ\aA"Draw a line parallel to AB Thru C.e - GddNQ>>NH>>>>>>>>>>H5XVX7C>>9xX7KY_>>>>>>>>>>>>>>>>>>>>Y_``=L>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>=VC>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>C8|>    CHnQ\aA.Define the intersection of the two lines as G. >    *nQ\aA1ST BIG QUESTION.>     nQ\aAANSWERS>    ;8nQ\aAReason for Triangle Congruencet>    i"nQ\aA Results 1>    g"nQ\aA Results 2>    ^D"nQ\aA Results 3    6nQ\aABack to the table of contents> (    TT&nQ\aA Proof Outline> L   jq&nQ\aA Reset Screen(# VQThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.>$+2LQuad Midpoint Theorem.` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0594/Aug 28 20060#H GenevaNComic Sans MS  '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':'?@r@j@@P@@d@w@@                                       !" "# #$ $! % & ' ( )* *+ +, ,)~\dk>>\dz    B{6nQ\aABack to the table of contentsB{(#2VQThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.>$b"LQuad Midpoint Theorem - The Proof` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0594/Aug 28 20060#HComic Sans MS'''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':'(&U>U\zVQThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.>$ LRotations` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0594/Aug 28 20060#H GenevaNComic Sans MS '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':'O@`u@Az@e@.6n<0>><.6z(#VQThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.>$F LRotations2` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0594/Aug 28 20060#H GenevaNComic Sans MS  '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':'O`3|@ˑKK&t@AJQSw@z^@44>44 O^ 4<0>H<5x >0?YY@??nQ\aAn40 1h 4<0>H<9x H0* ngam4DD `B CD  E    )1  <0>,nQ\aACentral Angle m    !,nQ\aAShow Central AngleVQThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.>$ LParabola1` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0594/Aug 28 20060#H GenevaNComic Sans MSg  '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':'0@ f@P@@" THE POINT@z@c@E>xE|zg>tB|zf>t<X>AxxX?  "Tݞt43? Directrix   ϸ?A    /  %O.?ko>/I1>     7>nQ\aA$Construct the Perpendicular BisectorF>  $> AF   J(nQ\aAAnimate point A~zj>zl\ZG>on`>     "nQ\aAAnswer 2o>     "nQ\aAAnswer 1o>     &nQ\aA Hide Point A (#QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.@$: LParabola 2` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0594/Aug 28 20060#H GenevaEComic Sans MSg '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':';@@@Ȁ@?  ";K ? DirectrixFocusp@u@   km?  / /  -  #*$   l0Ϳ:1?,"TWέ?Parabola@>+>ar>c=(#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.@$e LEllipse 1` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0594/Aug 28 20060#H GenevaEComic Sans MS  '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':'{@@z@؆@0y@ B(@w@ l<|5A  / q>y@>*><<*(>*>> $>BF   |(nQ\aAAnimate Point A     Z*nQ\aALink to Ellipse 2Z^jQThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.@$ G LEllipse 2` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0594/Aug 28 20060#H GenevaNComic Sans MS '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':'O{@@z@؆@0y@ BPr@؀@ g$?V>x  >sey>. (#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.@$LTrig & The Unit Circle` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0594/Aug 28 20060#H GenevaNComic Sans MSg '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':') w@s@4( 4e@: &  nQ\aAx6( 6R@: &  nQ\aAy='    ıe?^e_mz?@ /  -    bvG9?Cosine  :T ?Sinee/   -  -   8%kt?Tangent "5i? Cotangent +g[U?1  ~?Secantn ":m?Cosecant>20(#-#VQThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.@$s LLinear Functions` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0594/Aug 28 20060#H GenevaNComic Sans MSg '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':')~N`g~@v=Wv@4( 4bX<@: &  nQ\aAx6( 6bX<@: &  nQ\aAy='   O^  <0>T1 d >0?YY@??nQ\aAm  O^  <0>T1 d >0?YY@??nQ\aAb ~6G 9 f  7<0>T2 w F0D ngamwDvD ``fH:    / 00@Xz<0>>z^(# -#VQThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.@$+ LQuadratic Functions1` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0594/Aug 28 20060#H GenevaNComic Sans MSg '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':')@w@4( 4bX<@: &  nQ\aAx6( 6bX<@: &  nQ\aAy='   O  <0>T1 d `0?YY@?? nQ\aAa } O~  <0>T2 w ^0?YY@??   nQ\aAb ~6 O~  7<0>T1 d ^0?YY@?? nQ\aAc 7}OG 9 r  P<0>T2 w R0 $D ngamuD`uD ```fH:    / 00@X<0>0 and down for a<0).><0><0>>x5[-#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.@$5 LQuadratic Functions2` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0594/Aug 28 20060#H GenevaNComic Sans MSg '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':')}@t@4( 4bX<@: &  nQ\aAx6( 6bX<@: &  nQ\aAy='   O^  <0>T2 w >0?YY@??nQ\aAr1  O^  <0>T2 w >0?YY@??nQ\aAr2 6G 9 r  7<0>T1 d R0 $D ngamuD`uD `  ` fH:    / 00@Xxxd>(# -#VQThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.@$&LTangents to the Curve/The Derivatives` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0594/Aug 28 20060#H GenevaNComic Sans MSg  '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':')}@t@4( 4bX<@: &  nQ\aAx6( 6bX<@: &  nQ\aAy='   O^  <0>T2hi >0?YY@??nQ\aAa } Od  <0>T2hi D0?YY@?? nQ\aAb ~6 O^  7<0>T2hi >0?YY@??nQ\aAc 7}O O^  P<0>T2hi >0?YY@??nQ\aAd P~hG 9 ~  i<0>T2hi ^0$D ngamuD`uD ````fH:    / 00@X  :9PW?A  :q!7C?B?   2$ >>>>>>>>>>>>>0W3   <0>>       $nQ\aA Move B -> AN K  z <0>T2hi Z0Dpx-wAwA?```nQ\aAf'e1"  XVB>>>>?A3    <0>nQ\aAm[1]B0 3 b <0>T2hi B0$D ngampDpD p` 86F">0xFF(#-#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.@$t(LTangents to the Curve/The Derivative -2` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0594/Aug 28 20060#H GenevaNComic Sans MSg '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':')X,b@t@ O^  <0>T2hi >0?YY@??nQ\aAa } O`  <0>T2hi @0?YY@??nQ\aAb 6 O^  7<0>T2hi >0?YY@??nQ\aAc 7}O O^  P<0>T2hi >0?YY@??nQ\aAd P~hG 9~  i<0>H<1x ^0$D ngamuD`uD ````fN Kz <0>T2hi Z0Dpx-wAwA?```nQ\aAf'e4( 4bX,P@6( 6bX<@: &   nQ\aAy: &  nQ\aAx='   H:   / 00@X  :!xItN?B  :OaqN?A>      $nQ\aA Move B -> A1"  XVB>>>>A3   <0>nQ\aAm[1]B0 3 b <0>H<1x B0$D ngampDpD p` ?  W3   <0>2$  >>>>>>>>>>>>>-#