Question 31
Triangle $ABC$ satisfies $AB = AC$. Medians $AD$ and $BE$ intersect at $G$. Let $P$ be the midpoint of the line segment $GE$.
a. Prove that if $GP = GD$ then the quadrilateral $CEPD$ is cyclic.
b. Does it hold that if the quadrilateral $CEPD$ is cyclic then $GP = GD$?
a. Prove that if $GP = GD$ then the quadrilateral $CEPD$ is cyclic.
b. Does it hold that if the quadrilateral $CEPD$ is cyclic then $GP = GD$?