If sides AB and DC of a quadrilateral ABCD are parallel, which additional informationwould be sufficient to prove that quadrilateral ABCD is a parallelogram.ABACABDCACBDADABNone…

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asked Feb 11, 2023 75.3k views

1 Answer

Mohsen Beiranvand · Answer 1 · 2023-02-17T07:45:37+0000

We have a quadrilateral ABCD, where we know that AB || DC.

The other condition for the quadrilateral to be a parallelogram is that the other 2 sides of the parallelogram are congruent.

The other two sides are AC and BD, so the other condition needed is that AC and BD are congruent.

Answer: AC and BD are congruent.

$AC\cong BD$