Question

is △wxz ≅ △yzx? why or why not? yes, they are congruent by sas. yes, they are both right triangles. no, the triangles share side xz. no, there is only one set of congruent sides.

Explanation:

Step1: Identify congruent parts

We have $\overline{WX}=\overline{ZY} = 21$ cm, $\angle WXZ=\angle YZX = 90^{\circ}$, and $\overline{XZ}=\overline{XZ}$ (common side).

Step2: Apply congruence criterion

By the Side - Angle - Side (SAS) congruence criterion (two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle), $\triangle WXZ\cong\triangle YZX$.

Answer:

Yes, they are congruent by SAS.