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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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\(P Q R S\) 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.
in Mathematics by Platinum (102k points) | 345 views

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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
by Platinum (102k points)

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