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\begin{tikzpicture}[scale=.75]
\tkzDefPoint(0,0){A}
\tkzDefRandPointOn[circle= center A radius 4cm]
\tkzGetPoint{B}
\tkzDrawPoints(A,B)
\tkzDefPointBy[rotation= center A angle 180](B)
\tkzGetPoint{C}
\tkzInterCC[R](A,4 cm)(B,4 cm)
\tkzGetPoints{I}{I'}
\tkzInterCC[R](A,4 cm)(I,4 cm)
\tkzGetPoints{J}{B}
\tkzInterCC(B,A)(C,B)
\tkzGetPoints{D}{E}
\tkzInterCC(D,B)(E,B)
\tkzGetPoints{M}{M'}
\tikzset{arc/.style={color=brown,style=dashed,delta=10}}
\tkzDrawArc[arc](C,D)(E)
\tkzDrawArc[arc](B,E)(D)
\tkzDrawCircle[color=brown,line width=.2pt](A,B)
\tkzDrawArc[arc](D,B)(M)
\tkzDrawArc[arc](E,M)(B)
\tkzCompasss[color=red,style=solid](B,I I,J J,C)
\tkzDrawPoints(B,C,D,E,M)
\tkzLabelPoints(A,B,M)
\end{tikzpicture}
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