AB parallel to DC AB = DC BC = 10 cm. Find AD.

univerkov | August 3, 2021 | education

We are dealing with a quadrangle. It remains for us to determine its appearance.

Since the side AB is parallel to the side DC (AB // DC) and AB = DC, then by one of the signs we get the parallelogram ABCD.

Sign: if in a quadrilateral two opposite sides are equal and parallel, then this quadrilateral is a parallelogram.

It follows that the side AD = 10, because the opposite sides of the parallelogram are equal (BC = AD = 10).

Answer: AD = 10.

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