PQ and RS are two equal and parallel line segments.Any point M not lying on PQ or RS is jointed to Q and S lines through P parallel to QM and through R parallel to SM meet at N.Prove that the line segment MN and PQ are equal and parallel to each other.
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https://www.meritnation.com/ask-answer/question/1-prove-that-the-line-segment-joining-the-mid-points-of-the/quadrilaterals/3175901
https://www.meritnation.com/ask-answer/question/1-prove-that-the-line-segment-joining-the-mid-points-of-the/quadrilaterals/3175901