Question

is δwxz ≅ δyzx? 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:

For two triangles to be congruent by SAS (Side - Angle - Side), two sides and the included angle must be congruent. Here we only know one pair of sides ($WX = YZ=21$ cm) are congruent and they share side $XZ$. There is not enough information about angles or other sides. Just being right - triangles is not sufficient for congruence. Sharing a side is not a reason for non - congruence. The key is the lack of multiple congruent parts.

Answer:

D. No, there is only one set of congruent sides.