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In the figure LMNO, is a trapezium in wh...

In the figure LMNO, is a trapezium in which LM is parallel to side ON and P is the mid point of side LO. If Q is a point on the side MN such that segment PQ is parallel to side ON Prove that Q is the mid point of MN and `PQ=1//2(LM+ON)`.

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