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MathNet 2013 Question 81

Math Olympiad Vault · MathNet 2013

Question 81

Two parallelograms $ABCD$ and $NMKD$ are placed in the plane as it is shown in the figure; $T$ is the intersection point of the segments $BC$ and $MN$. Prove that the points $D$, $T$, and the intersection point of $AM$ and $BK$ are collinear if the points $A$, $T$, and $K$ are collinear.

Question illustration