In $\Delta ABC$, $BQ$ and $CP$ intersect at $O$. $P$, $Q$, $R$ and $S$ are the midpo

Question

In $\Delta ABC$, $BQ$ and $CP$ intersect at $O$. $P$, $Q$, $R$ and $S$ are the midpoints of $AB$, $AC$, $OC$ and $OB$ respectively. Prove that $PQRS$ is a parallelogram. Hence, show that $OS = \frac{1}{3} BQ$.

Accepted Answer

Proved: $PQRS$ is a parallelogram and $OS=\frac13BQ$

Proving Quadrilaterals

Proving Quadrilaterals

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