Question 140
1. Let $ABCD$ be a rectangle with $|AD| \leq |AB|$. Let $M$ be the midpoint of the segment $AD$ and $N$ the midpoint of the segment $BC$. Let the point $E$ be the projection of $B$ onto the line $CM$.
a. Show that $ANEM$ is an isosceles trapezoid.
b. Show that the area of the quadrilateral $ABNE$ is half the area of $ABCD$.
a. Show that $ANEM$ is an isosceles trapezoid.
b. Show that the area of the quadrilateral $ABNE$ is half the area of $ABCD$.