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"#/ " - %$ - %$ &' )4;f;f?F@z^#@gfffff? )*/ ) - ,+ - ,+ -. 04;f;f?F@z^#@gfffff? 01/ 0 - 32 - 32 45 74;f;f?F@z^#@gfffff? 78/ 7 - :9 - :9 ;<4;f;f?F@z^#@gfffff? >/  - @? - @? AB4;f;f?F@bX,@? D - EnQ\aAD - EnQ\aAE, - HEnQ\aAFQ CFIG4;f;f?F@bX,@? K - LnQ\aAG - LnQ\aAH, - OLnQ\aAIQ CMPN4;f;f?F@bX,@? R - SnQ\aAJ - SnQ\aAK, - VSnQ\aALQ CTWU4;f;f?F@bX,@? Y - ZnQ\aAM - ZnQ\aAN, - ]ZnQ\aAOQ C[^\ -  nQ\aAP, - a nQ\aAQQ C!b`4> d   b.nQ\aAShow Gray Triangle 14> f   b.nQ\aAShow Gray Triangle 24> h   b.nQ\aAShow Gray Triangle 34> j   b2.nQ\aAShow Gray Triangle 44> l   bG.nQ\aAShow Gray Triangle 5> (/6=C   d6nQ\aAShow Pentagon Congruent Sides> Jc_XQ   d(nQ\aAShow 108 Angles - EnQ\aAR, - qEnQ\aASQ CGrp - SnQ\aAT, - uSnQ\aAUQ CTvt> s(dwC   b\4nQ\aAHide Isosceles Triangle 1 e -  nQ\aAV, - z nQ\aAWQ C!{y - LnQ\aAX, - ~LnQ\aAYQ CM}> |/(f   bq2nQ\aAHide Isosceles Triangle 2 - EnQ\aAZ, - EnQ\aAA[1]IQ CF - ZnQ\aAB[1]I, - ZnQ\aAC[1]IQ C\> h6/   b2nQ\aAHide Isosceles Triangle 3 -  nQ\aAD[1]I, -  nQ\aAE[1]IQ C` - SnQ\aAF[1]I, - SnQ\aAG[1]IQ CU> 6=j   b2nQ\aAHide Isosceles Triangle 4 - LnQ\aAH[1]I, - LnQ\aAI[1]IQ CN - ZnQ\aAJ[1]I, - ZnQ\aAK[1]IQ C[> l=C   b2nQ\aAHide Isosceles Triangle 5> , s|w   c*nQ\aAHide Green Angles, - EnQ\aAL[1]GQ Cp, -  nQ\aAM[1]GQ Cy, - ZnQ\aAN[1]GQ C, - LnQ\aAO[1]GQ C}, - SnQ\aAP[1]GQ Ct>    e(nQ\aAHide Red Angles - 4;f;f?F@bX,@? , - nQ\aAS[1] -  -  -  - ]><0><0>>>><0>>>>><0><0>>>>><0><0><0>>]4;f;f?F@bX,@? , - nQ\aAV[1]4;f;f?F@bX,@? , - nQ\aAY[1] 4;f;f?F@bX,@?  - nQ\aAZ[1]  - nQ\aAA[2], - nQ\aAB[2]Q C 4;f;f?F@bX,@?  - nQ\aAC[2], - nQ\aAE[2]  - nQ\aAD[2]Q C  - nQ\aAF[2]  - nQ\aAG[2], - nQ\aAH[2]Q C  - nQ\aAI[2]  - nQ\aAJ[2]Q C  - nQ\aAK[2]  - nQ\aAL[2]Q C>    d*nQ\aAHide Blue Angles> ,    b.&nQ\aA Hide Segments44444>    d,nQ\aAShow Pink Triangles 4;f;f?F@z^#@gfffff? /  -  -   4;f;f?F@z^#@gfffff? /  -  -   4;f;f?F@z^#@gfffff? /  -  -   4;f;f?F@z^#@gfffff? /  -  -   4;f;f?F@z^#@gfffff? /  -    -       4;f;f?F@z^#@gfffff? /  -  -   4;f;f?F@z^#@gfffff? /  -  -   4;f;f?F@z^#@gfffff? /  -  -   ! #4;f;f?F@z^#@gfffff? #$/ # - &% - &% '( *4;f;f?F@z^#@gfffff? *+/ * - -, - -, ./> , 0)"    bX&nQ\aA Hide Segments4y4y4y4y4y> 62345   bm.nQ\aAHide Yellow Triangles  - 8nQ\aAM[2]Y, - :nQ\aAN[2]YQ C;9 - 8nQ\aAO[2]Y, - >nQ\aAP[2]YQ C=?  - AnQ\aAQ[2]Y, - CnQ\aAR[2]YQ CDB - AnQ\aAS[2]Y, - GnQ\aAT[2]YQ CFH  - JnQ\aAU[2]Y, - LnQ\aAV[2]YQ CKM - JnQ\aAW[2]Y, - PnQ\aAX[2]YQ CQO  - SnQ\aAY[2]Y, - UnQ\aAZ[2]YQ CVT - SnQ\aAB[3]Y, - YnQ\aAC[3]YQ CXZ  - \nQ\aAD[3]Y, - ^nQ\aAE[3]YQ C_] - \nQ\aAF[3]Y, - bnQ\aAG[3]YQ Cac> , W[`d<@EINR   b"nQ\aA Show ArcsHH"4>"m&DQThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$ALsome algebra of angles` a b c d e f g h i j k l m n o p q ,#GSP4_M_0594/Aug 28 20060#HTimes New Roman'''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':'<>>>>><0>>>>>>><0><0>>>><0>><0>><0>><0><0><0><0><0><0><0>><4(#DQThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$` a b c d e f g h i j k l m n o p q ,#GSP4_M_0594/Aug 28 20060#H'''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':'DQThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$ ` a b c d e f g h i j k l m n o p q ,#GSP4_M_0594/Aug 28 20060#H'''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':'DQThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$,` a b c d e f g h i j k l m n o p q ,#GSP4_M_0594/Aug 28 20060#H GenevaArial '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':'|@e@@t@@`t@  /  -  nQ\aAE   ?   -       Q4+c?F    -  -  -           -  -  -  -  - ^@c@j@b@ %& 'nQ\aAK/ (' ) /vlC?" *' *+@\@`p@o@@p@ -. /04;f;f?F@z^#@gfffff? 01/ 0/ - 32 - 32 45 74;f;f?F@z^#@gfffff? 78/ 7 - :9 - :9 ;< >4;f;f?F@z^#@gfffff? >?/ > - A@ - A@ BC E4;f;f?F@z^#@gfffff? EF/ E - HG - HG IJ L4;f;f?F@z^#@gfffff? LM/ L - ON - ON PQ4;f;f?F@z^#@gfffff? S/  - UT - UT VWT@W@p@S@ YZf@;@ Y\t@@j@~@ ^_ps@@{@ _a_4;f;f?F@bX,@? _c - bdnQ\aAN - `dnQ\aAL,a_^ - gdnQ\aAMQ Cfhe?a[1]Ȅ@|@@@ jkk4;f;f?F@bX,@? km - lnnQ\aAO@H@ kp - qnnQ\aAP,pkj - snnQ\aAQQ Cotr4;f;f?F@bX,@? v - wnQ\aAR - wnQ\aAS, - zwnQ\aATQ Cx{y4;f;f?F@bX,@? } - ~nQ\aAU - ~nQ\aAV, - ~nQ\aAWQ C4;f;f?F@bX,@?  - nQ\aAX - nQ\aAY, - nQ\aAZQ C4;f;f?F@bX,@?  - nQ\aAA[1] - nQ\aAB[1], - nQ\aAC[1]Q C4;f;f?F@bX,@?  - nQ\aAD[1] - nQ\aAE[1], - nQ\aAF[1]Q C(#/DQThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$ ( Lpentagon` a b c d e f g h i j k l m n o p q ,#GSP4_M_0594/Aug 28 20060#H GenevaArialTimes New Roman Georgia   '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':'t@|@@}@  /  -  nQ\aAA  ?   -        4<:?-E nQ\aAB    -  -  -         B#?? 4;f;f?F@bX,@?  -  nQ\aAC "4;f;f?F@z^#@gfffff? "#/ " - %$ - %$ &' )4;f;f?F@z^#@gfffff? )*/ ) - ,+ - ,+ -. 04;f;f?F@z^#@gfffff? 01/ 0 - 32 - 32 45 74;f;f?F@z^#@gfffff? 78/ 7 - :9 - :9 ;<4;f;f?F@z^#@gfffff? >/  - @? - @? AB4;f;f?F@bX,@? D - EnQ\aAD - EnQ\aAE, - HEnQ\aAFQ CFIG4;f;f?F@bX,@? K - LnQ\aAG - LnQ\aAH, - OLnQ\aAIQ CMPN4;f;f?F@bX,@? R - SnQ\aAJ - SnQ\aAK, - VSnQ\aALQ CTWU4;f;f?F@bX,@? Y - ZnQ\aAM - ZnQ\aAN, - ]ZnQ\aAOQ C[^\ -  nQ\aAP, - a nQ\aAQQ C!b`4> d   O.nQ\aAShow Gray Triangle 14> f   O.nQ\aAShow Gray Triangle 24> h   O.nQ\aAShow Gray Triangle 34> j   O.nQ\aAShow Gray Triangle 44> l   O.nQ\aAShow Gray Triangle 5> (/6=C   Q6nQ\aAShow Pentagon Congruent Sides> Jc_XQ   Q(nQ\aAShow 108 Angles - EnQ\aAR, - qEnQ\aASQ CGrp - SnQ\aAT, - uSnQ\aAUQ CTvt> s(dwC   O4nQ\aAShow Isosceles Triangle 1 e -  nQ\aAV, - z nQ\aAWQ C!{y - LnQ\aAX, - ~LnQ\aAYQ CM}> |/(f   O*2nQ\aAShow Isosceles Triangle 2 - EnQ\aAZ, - EnQ\aAA[1]IQ CF - ZnQ\aAB[1]I, - ZnQ\aAC[1]IQ C\> h6/   O?2nQ\aAShow Isosceles Triangle 3 -  nQ\aAD[1]I, -  nQ\aAE[1]IQ C` - SnQ\aAF[1]I, - SnQ\aAG[1]IQ CU> 6=j   OT2nQ\aAShow Isosceles Triangle 4 - LnQ\aAH[1]I, - LnQ\aAI[1]IQ CN - ZnQ\aAJ[1]I, - ZnQ\aAK[1]IQ C[> l=C   Oi2nQ\aAShow Isosceles Triangle 5> , s|w   P~*nQ\aAShow Green Angles, - EnQ\aAL[1]GQ Cp, -  nQ\aAM[1]GQ Cy, - ZnQ\aAN[1]GQ C, - LnQ\aAO[1]GQ C}, - SnQ\aAP[1]GQ Ct>    V(nQ\aAShow Red Angles - 4;f;f?F@bX,@? , - nQ\aAS[1] -  -  -  - 4;f;f?F@bX,@? , - nQ\aAV[1]4;f;f?F@bX,@? , - nQ\aAY[1] 4;f;f?F@bX,@?  - nQ\aAZ[1]  - nQ\aAA[2], - nQ\aAB[2]Q C 4;f;f?F@bX,@?  - nQ\aAC[2], - nQ\aAE[2]  - nQ\aAD[2]Q C  - nQ\aAF[2]  - nQ\aAG[2], - nQ\aAH[2]Q C  - nQ\aAI[2]  - nQ\aAJ[2]Q C  - nQ\aAK[2]  - nQ\aAL[2]Q C>    R*nQ\aAShow Blue Angles4444 4;f;f?F@z^#@gfffff? /  -  -   4;f;f?F@z^#@gfffff? /  -  -   4;f;f?F@z^#@gfffff? /  -  -   4;f;f?F@z^#@gfffff? /  -  -   4;f;f?F@z^#@gfffff? /  -  -    4;f;f?F@z^#@gfffff?   /   -    -     4;f;f?F@z^#@gfffff? /  -  -   4;f;f?F@z^#@gfffff? /  -  -   4;f;f?F@z^#@gfffff?  /  - "! - "! #$ &4;f;f?F@z^#@gfffff? &'/ & - )( - )( *+4y4y4y4y4y> 1-./0   U.nQ\aAShow Yellow Triangles  - 3nQ\aAM[2]Y, - 5nQ\aAN[2]YQ C64 - 3nQ\aAO[2]Y, - 9nQ\aAP[2]YQ C8:  - <nQ\aAQ[2]Y, - >nQ\aAR[2]YQ C?= - <nQ\aAS[2]Y, - BnQ\aAT[2]YQ CAC  - EnQ\aAU[2]Y, - GnQ\aAV[2]YQ CFH - EnQ\aAW[2]Y, - KnQ\aAX[2]YQ CLJ  - NnQ\aAY[2]Y, - PnQ\aAZ[2]YQ CQO - NnQ\aAB[3]Y, - TnQ\aAC[3]YQ CSU  - WnQ\aAD[3]Y, - YnQ\aAE[3]YQ CZX - WnQ\aAF[3]Y, - ]nQ\aAG[3]YQ C\^> , RV[_7;@DIM   V*nQ\aAShow Pink Angles> T,%    T&nQ\aA Hide Segments  , >>>>>>>>>>><0><0>>><0>>>>>>>>><0>>>>>>>>>>><0>>>>>>>>><0>>>><(>>>>>>>>>>>><+<0>>>>>>>>>><0>><+<0>>>>>>>>>>>><0>>>>>>>>>>>>>>>>>>>>>>>><0>>><0>><+>><+<0>>>><+<0>>>><+><+<0>>>>>>>><0><0><+>>><+<0>>>>>>>>>>>>>>>>>>>>>>,nQ\aAAh@x@nQ\aAB@x@ cd/ ce eH[3]S gc gh ce - fj?  kg - li km dn o4<:?-E I[3]S pd cq dq - rs ct te- vs wtÔr?x cws?xc4;f;f?F@bX,@? cz - y{nQ\aAJ[3] - u{nQ\aAK[3],tcw - ~{nQ\aAL[3]Q C|}K@su?36]t4;f;f?F@bX,@? t - xnQ\aAN[3] - unQ\aAO[3],ctw - nQ\aAP[3]Q CBcR-?36]/ wu - u ww4;f;f?F@bX,@? w - ynQ\aAQ[3] - nQ\aAR[3],wc - nQ\aAS[3]Q Cű?54] - xnQ\aAT[3],tw - nQ\aAU[3]Q C^Ym?54]@>+>>>>>6 u r4?4?bX<@?Z; DD10>>>>>> t@>5+>>>>>5V_  V?4?bX<@?Z; DD0>>>>>>4ynQ\aABs@p@nQ\aAA~@@  /  -  nQ\aAV[3]  ?   -    4<:?-E nQ\aAW[3]    -   -  nQ\aAB}@@4nQ\aAB }@@nQ\aAA0r@@  /  -  nQ\aAL[4]  ?   -    4<:?-E nQ\aAM[4]    -  -  -    -  4  W37?y/  -  4;f;f?F@bX,@?  - nQ\aAN[4] +,p?l - nQ\aAO[4], - nQ\aAP[4]Q C36]4;f;f?F@bX,@?  - nQ\aAQ[4] - nQ\aAR[4], - nQ\aAS[4]Q C|?54]  SU?4?rVbX<@?88)%>>>>)IHZ; @><e*>>>>>||^i>>>>>>>^IHF)3>+)[=(#{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.$Lgolden ratio AHArial Geneva nQ\aADnQ\aAEnQ\aABq@0y@  nQ\aAc[1]/ nQ\aAj - nQ\aAC nQ\aAA   nQ\aAc[2]?   -  nQ\aAD    nQ\aAc[3] nQ\aAB {A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$ LPentagon_AHArial Geneva nQ\aABnQ\aAAj  nQ\aAc[1]/ nQ\aAj - nQ\aAE nQ\aAC  nQ\aAc[2]?   -  nQ\aAF    nQ\aAc[3]  nQ\aAD  nQ\aAc[4] nQ\aAc[5] - nQ\aAG nQ\aAc[6]- nQ\aAH - nQ\aAI     {A tool in this document was created with a newer version of Sketchpad and cannot be read. 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