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Question
In parallelogram PQRS, L is mid-point of side SR and SN is drawn parallel to LQ which meets RQ produced at N and cuts side PQ at M. Prove that M is the mid-point of PQ.
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Solution
In ΔNSR
MQ = `(1)/(2)"SR"`
But L is the mid-point of SR and SR = PQ ...(sides of a parallelogram)
MQ = `(1)/(2)"PQ"`
MQ = PM = LS = LR
Therefore, M is the mid-point of PQ.
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