Question

Prove that a quadrilateral is a parallelogram, if a pair of opposite sides is parallel and
congruent.

Answer 1

Answer:

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If one pair of opposite sides of a quadrilateral are congruent and parallel, then the quadrilateral is a parallelogram. If — BC — AD and — BC ≅ — AD , then ABCD is a parallelogram. If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

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