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\begin{tikzpicture}[scale=.8]
\tkzDefPoint(2,1){A}
\tkzDefPoint(5,3){B}
\tkzDefPoint(0,6){C}
\tkzDefBarycentricPoint(A=1,B=1,C=1)
\tkzGetPoint{M}
\tkzDefMidPoint(A,B) \tkzGetPoint{C'}
\tkzDefMidPoint(A,C) \tkzGetPoint{B'}
\tkzDefMidPoint(C,B) \tkzGetPoint{A'}
\tkzDrawPolygon(A,B,C)
\tkzDrawPoints(A',B',C')
\tkzDrawPoints(A,B,C,M)
\tkzDrawLines[add=0 and 1](A,M B,M C,M)
\tkzLabelPoint(M){$M$}
\tkzAutoLabelPoints[center=M](A,B,C)
\tkzAutoLabelPoints[center=M,above right](A',B',C')
\end{tikzpicture}
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