Show that the line segments joining the mid-point of the opposite sides of a
quadrilateral bisect each other. with diagrams
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From (1) and (2)
⇒PQ=SR and PQ∥SR
So,In PQRS,
one pair of opposite sides is parallel and equal.
Hence, PQRS is a parallelogram.
PR and SQ are diagonals of parallelogram PQRS
So,OP=OR and OQ=OS since diagonals of a parallelogram bisect each other.
Hence proved.
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