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If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelgram
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If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelgram

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That statement is false. A quadrilateral whose diagonals bisect each other is not necessarily a parallelogram. A rhombus, for example, has diagonals that bisect each other, but it is not a parallelogram.
User Djreisch
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