Question 14
G2 (UKR) $ABCD$ is a quadrilateral with $BC$ parallel to $AD$. $M$ is the midpoint of $CD$, $P$ that of $MA$ and $Q$ that of $MB$. The lines $DP$ and $CQ$ meet at $N$. Prove that $N$ is not outside triangle $ABM$.
Source footnote 8: This problem is false. However, it is true if “not outside $ABM$” is replaced by “not outside $ABCD$”.
Source footnote 8: This problem is false. However, it is true if “not outside $ABM$” is replaced by “not outside $ABCD$”.