Prove that the line segments joining the mid points of opposite sides of a quadrilateral bisect each other.
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In ΔABD, S and P are the mid-points of AD and AB respectively. In quadrilateral SPQR, one pair of opposite sides is equal and parallel to each other. Thus, SPQR is a parallelogram. ... Thus, we see that the line segments joining the mid-points of the opposite sides of a quadrilateral bisect each other.
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