Question

Quadrilateral WXYZ must be a special figure to meet the conditions stated. Write the best name for that special quadrilateral.

$\overline{WX}\cong \overline{YZ}$and$\overline{WX}\parallel \overline{YZ}$

Short answer

The quadrilateral is parallelogram.

Step-by-step solution

Step 1. Apply the following concept.

If one pair of opposite sides of a quadrilateral are both parallel and congruent, then it's a parallelogram.

Step 2. Step description.

Consider that $\overline{WX}\cong \overline{YZ},\overline{WX}\left|\right|\overline{YZ}$.

That is one pair of opposite sides of a quadrilateral $\overline{WX}$and $\overline{YZ}$are both congruent and parallel.

Step 3. Step description.

Since one pair of the quadrilateral is parallel and congruent, therefore the quadrilateral is a parallelogram.

Therefore, the quadrilateral is a parallelogram.