Quadrilateral $QUAD$ has an inscribed quadrilateral $PROF$, where $P$, $R$, $O$ and \

Question

Quadrilateral $QUAD$ has an inscribed quadrilateral $PROF$, where $P$, $R$, $O$ and $F$ are the midpoints of $QD$, $QU$, $UA$ and $AD$ respectively. Prove that quadrilateral $PROF$ is a parallelogram.

Accepted Answer

Proved: $PROF$ is a parallelogram

Proofs in Plane Geometry - Midpoint Theorem

Proofs in Plane Geometry - Midpoint Theorem

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