Chapter 5.5, Problem 2ST2

To determine

To identify: the type of the quadrilateral $WXYZ$ .

Answer to Problem 2ST2

Trapezoid

Explanation of Solution

Given:

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

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

Concept Used:

Definition:

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

It is given that for the quadrilateral $WXYZ$ , $\overline{WX}\cancel{\cong }\overline{YZ}$ and $\overline{WX}\parallel \overline{YZ}$

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

So, the other pair of opposite sides can’t be parallel.

Thus, by above definition, the quadrilateral $WXYZ$ is a trapezoid.