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\input{preamble-standalone.ltx}
\begin{document}
% Ex. No. 166 (Section 20.2.8 : Squares in half a disc)
\begin{tikzpicture}[scale=.75]
\tkzDefPoints{0/0/A,8/0/B,4/0/I}
\tkzDefSquare(A,B) \tkzGetPoints{C}{D}
\tkzInterLC(I,C)(I,B)\tkzGetPoints{E'}{E}
\tkzInterLC(I,D)(I,B)\tkzGetPoints{F'}{F}
\tkzDefPointsBy[projection = onto A--B](E,F){H,G}
\tkzDefPointsBy[symmetry = center H](I){J}
\tkzDefSquare(H,J)\tkzGetPoints{K}{L}
\tkzDrawSector[fill=brown!30](I,B)(A)
\tkzFillPolygon[color=red!40](H,E,F,G)
\tkzFillPolygon[color=blue!40](H,J,K,L)
\tkzDrawPolySeg[color=red](H,E,F,G)
\tkzDrawPolySeg[color=red](J,K,L)
\tkzDrawPoints(E,G,H,F,J,K,L)
\end{tikzpicture}
\end{document}
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