\input{preamble-standalone.ltx} \begin{document} % Ex. No. 235 (Section 30.2.5 : Example 1: John Kitzmiller ) \begin{tikzpicture}[scale=2] \tkzDefPoint[label=below left:A](0,0){A} \tkzDefPoint[label=below right:B](6,0){B} \tkzDefTriangle[equilateral](A,B) \tkzGetPoint{C} \tkzMarkSegments[mark=|](A,B A,C B,C) \tkzDefBarycentricPoint(A=1,B=2) \tkzGetPoint{C'} \tkzDefBarycentricPoint(A=2,C=1) \tkzGetPoint{B'} \tkzDefBarycentricPoint(C=2,B=1) \tkzGetPoint{A'} \tkzInterLL(A,A')(C,C') \tkzGetPoint{J} \tkzInterLL(C,C')(B,B') \tkzGetPoint{K} \tkzInterLL(B,B')(A,A') \tkzGetPoint{L} \tkzLabelPoint[above](C){C} \tkzDrawPolygon(A,B,C) \tkzDrawSegments(A,J B,L C,K) \tkzMarkAngles[size=1 cm](J,A,C K,C,B L,B,A) \tkzMarkAngles[thick,size=1 cm](A,C,J C,B,K B,A,L) \tkzMarkAngles[opacity=.5](A,C,J C,B,K B,A,L) \tkzFillAngles[fill= orange,size=1 cm,opacity=.3](J,A,C K,C,B L,B,A) \tkzFillAngles[fill=orange, opacity=.3,thick,size=1,](A,C,J C,B,K B,A,L) \tkzFillAngles[fill=green, size=1, opacity=.5](A,C,J C,B,K B,A,L) \tkzFillPolygon[color=yellow, opacity=.2](J,A,C) \tkzFillPolygon[color=yellow, opacity=.2](K,B,C) \tkzFillPolygon[color=yellow, opacity=.2](L,A,B) \tkzDrawSegments[line width=3pt,color=cyan,opacity=0.4](A,J C,K B,L) \tkzDrawSegments[line width=3pt,color=red,opacity=0.4](A,L B,K C,J) \tkzMarkSegments[mark=o](J,K K,L L,J) \tkzLabelPoint[right](J){J} \tkzLabelPoint[below](K){K} \tkzLabelPoint[above left](L){L} \end{tikzpicture} \end{document}