Question 71
$ABCDE$ is pentagon where $K$, $L$, $M$, $N$ are the midpoints of $AB$, $BC$, $CD$, $DE$ respectively. Let $P$, $Q$, $F$ be the midpoints of $KM$, $LN$, $AD$, respectively. Prove that $PQ$ and $AE$ are parallel and $\overline{AE} = 4\overline{PQ}$.