Question

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

Explanation:

Step1: Recall parallelogram property

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

Step2: Match with options

The option that states "Opposite sides of the figure are congruent" is the correct reason for the figure to be a parallelogram.

Answer:

The figure \(ABCD\) is a parallelogram because opposite sides of the figure are congruent.