Question

question
choose all answers that describe the polygon wxyz if wx = 42, xy = 34, yz = 38, zw = 34, and \overline{wx} \parallel \overline{yz}.
answer attempt 1 out of 2
parallelogram
quadrilateral
rectangle
rhombus
square
trapezoid

Explanation:

Step1: Recall the definitions

A quadrilateral is a four - sided polygon. A parallelogram has opposite sides parallel. Since \( \overline{WX}\parallel\overline{YZ}\), and we have four sides \(WX = 42\), \(XY = 34\), \(YZ = 38\), \(ZW = 34\), it is a quadrilateral.

Step2: Check for parallelogram properties

In a parallelogram, opposite sides are equal. Here \(XY = ZW=34\), but \(WX = 42
eq YZ = 38\). However, the fact that \( \overline{WX}\parallel\overline{YZ}\) makes it a trapezoid (a trapezoid has at least one pair of parallel sides).

Answer:

Trapezoid, Quadrilateral