is a quadrilateral with
parallel to
.
is the midpoint of
,
is the midpoint of
and
is the midpoint of
. The lines
and
meet at
. Prove that
is inside the quadrilateral
.
%V0
$ABCD$ is a quadrilateral with $BC$ parallel to $AD$. $M$ is the midpoint of $CD$, $P$ is the midpoint of $MA$ and $Q$ is the midpoint of $MB$. The lines $DP$ and $CQ$ meet at $N$. Prove that $N$ is inside the quadrilateral $ABCD$.
Školjka