prove that if both pairs of opposite sides of a quadrilateral are equal then it is a parallelogram.
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Theorem 47: If both pairs of opposite angles of a quadrilateral are equal, then it is a parallelogram. Theorem 48: If all pairs of consecutive angles of a quadrilateral are supplementary, then it is a parallelogram. ... Theorem 50: If the diagonals of a quadrilateral bisect each other, then it is a parallelogram .
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Theorem 47: If both pairs of opposite angles of a quadrilateral are equal, then it is a parallelogram. Theorem 48: If all pairs of consecutive angles of a quadrilateral are supplementary, then it is a parallelogram. ... Theorem 50: If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.
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