在 tkz-euclide 中反映形状

Question

有没有一种巧妙的方法来反映下面的平行四边形以保持底部 CB 相同但创建两个新点 EF 就像图一样：

\documentclass{book}
\usepackage{tkz-euclide}
\begin{document}
\begin{tikzpicture}
\tkzDefPoint(0,0){B}
\tkzDefPoint(2,0){C}
\tkzDefPoint(-1,3){A}
\tkzDefParallelogram(B,C,A) \tkzGetPoint{D}
\tkzDrawPolygon(B,C,A,D)

\tkzLabelPoints(C,B)
\tkzLabelPoints[above](A,D)
\tkzDrawPoints(A,...,D)
\end{tikzpicture}
\end{document}

Answer 1

\documentclass{book}
\usepackage{tkz-euclide}
\begin{document}
\begin{tikzpicture}
\tkzDefPoint(0,0){B}
\tkzDefPoint(2,0){C}
\tkzDefPoint(-1,3){A}
\tkzDefParallelogram(A,B,C) \tkzGetPoint{D}
\tkzDefPointOnLine[pos=.75](C,D)\tkzGetPoint{G}
\tkzInterLL(A,D)(B,G) \tkzGetPoint{E}
\tkzDefParallelogram(E,B,C) \tkzGetPoint{F}
\tkzDrawSegment(D,E)
\tkzDrawPolygons(A,B,C,D B,C,F,E)
\tkzLabelPoints(B,C)
\tkzLabelPoints[above](A,D,E,F)
\tkzLabelPoints[right](G)
\tkzDrawPoints(A,...,G)
\end{tikzpicture}
\end{document}