Question

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

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

Short answer

The quadrilateral is a trapezoid

Step-by-step solution

Step 1. Apply the concept of trapezoid.

A trapezoid is a type of quadrilateral with one pair of parallel sides.

Step 2. Step description.

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

That is, one pair of opposite sides of a quadrilateral $\overline{WX}$and $\overline{YZ}$are parallel but not congruent.

Step 3. Step description.

Since one pair of the quadrilateral is parallel but not congruent, therefore from the definition of a trapezoid, the quadrilateral is a trapezoid.

Therefore, the quadrilateral is a trapezoid.