GSP4d\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.@$/Ltriangle of reflections` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0488/Oct 31 20010#` Arial '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' APv@i@@B0s@Pv@@ @C(@v@@ @ "@ B'" A'" C'     44      - > 0      P 0nQ\aAtriangle of reflections\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.@$1$Lhomothety with pedal triangle of N` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0488/Oct 31 20010#` Arial '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' A@v@f@@B0s@Pv@@ @C(@v@@ @ "@ B'l" A'l" C'l     44      - H     - G   /   /  - N/ /  -  !O/  - #  /  - '/  - ) *( ($ $*    $> 8 (*$+-,./%0&   RnQ\aA9triangle of reflections homothetic to pedal triangle of 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.@$t*Lhomothetic ratio ` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0488/Oct 31 20010#` Arial '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' A`q@B@@Bk@r@@ @C`@ps@@ @ "@ A'4        -  G D   /    /  - N/ /   - O/  - X' / /  ?  ?  /  / ! - "#H $ -  X" $H' >     *nQ\aAhomothetic centernr~<0>>le r<\QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.@$/$Ldegenerate triangle of reflections` a b c d e f g h i j k l m n o p q _ ,#GSP4_W_0488/Oct 31 20010#` Arial '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' Or@v@@N`z@k@@ @  @@ *I?nine-point circle -  - Q C   CUzY?A       - Y?   /   -   ?  /  -   /  - nQ\aADn C- Z?   /  - nQ\aAEn B    ! !4 !" #C'e"  $A'e" !"B'e (& &' '(>     <nQ\aA#locus of midpoints of chords from A> n   a*nQ\aAnine-point circle> n!#$"%   <nQ\aA#triangle ABC with N on circumcircle> n'(&)*   BnQ\aA)degenerate triangle of reflections of ABC