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Proof that if the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

A diagram of a quadrilateral WXYZ with diagonals WY and XZ bisecting each other at point E, illustrating a theorem about parallelograms. The image includes a two-column proof with statements and reasons.

A diagram of a quadrilateral WXYZ with diagonals WY and XZ bisecting each other at point E, illustrating a theorem about parallelograms. The image includes a two-column proof with statements and reasons.

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