Question

prove that quadrilateral abcd is a parallelogram. how do you know that the figure is a parallelogram? (1 point) opposite sides of the figure are congruent. adjacent angles of the figure are congruent. adjacent sides of the figure are parallel. adjacent sides of the figure are congruent.

Explanation:

Step1: Recall parallelogram property

One of the properties of a parallelogram is that opposite sides are congruent. In the given quadrilateral \(ABCD\), the marks on the sides indicate that \(AB = CD\) and \(BC=AD\).

Step2: Analyze options

We check each option against the properties of a parallelogram. Adjacent angles of a parallelogram are supplementary, not congruent. Adjacent sides are not necessarily parallel or congruent in a general parallelogram.

Answer:

Opposite sides of the figure are congruent.