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Both pairs of opposite sides need to be congruent (the same length).

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11y ago

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What additional information is needed in order to prove that quadrilateral ABCD is a parallelogram?

To prove that quadrilateral ABCD is a parallelogram, you need to establish one of the following conditions: either both pairs of opposite sides are parallel, both pairs of opposite sides are equal in length, or one pair of opposite sides is both equal and parallel. Alternatively, showing that the diagonals bisect each other or that one pair of opposite angles are equal can also suffice. Any of these conditions will confirm that ABCD is a parallelogram.


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