Question

consider quadrilateral wxyz. based on the information given, is the quadrilateral a parallelogram? explain. the figure is a parallelogram because there are two pairs of congruent sides. the figure is a parallelogram because a diagonal is bisected. the figure is not necessarily a parallelogram because the diagonals are not congruent. the figure is not necessarily a parallelogram because only one diagonal is bisected and only one pair of sides is congruent.

Explanation:

Step1: Recall parallelogram properties

A parallelogram has two - pairs of congruent sides, two - pairs of parallel sides, and diagonals that bisect each other.

Step2: Analyze given information

From the figure, only one diagonal is bisected and only one pair of sides is congruent. This is not sufficient to prove it's a parallelogram.

Answer:

The figure is not necessarily a parallelogram because only one diagonal is bisected and only one pair of sides is congruent.