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$P Q R S$ is a parallelogram. $M$ is the point on $P S$. such that $P M=1 \div 3 Q R$. Prove that the quadrilateral PNRM is a parallelogram.
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Given: PQRS is a parallelogram
$\mathrm{M}$ is a point on ps
$N$ is point on $R Q$
To prove:PNRM is a parallelogram
Proof...
$P S=R Q$
$\frac{1}{3}p s=\frac{1}{3}r q$
$\mathrm{PM}=\mathrm{RN}$
$\mathrm{PS} / / \mathrm{QR}$
PR//RN
HENCE PROVED....THAT.
PNRM is a parallelogram
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