Question

the triangles are congruent by the sss congruence theorem. which transformation(s) can map △bcd onto △wxy? rotation only reflection only translation, then rotation translation, then reflection

Explanation:

Step1: Analyze triangle orientation

The orientation of $\triangle BCD$ and $\triangle WXY$ is different. A single rotation or a single reflection alone won't map $\triangle BCD$ onto $\triangle WXY$.

Step2: Consider combined transformations

First, translate $\triangle BCD$ so that one of its vertices coincides with the corresponding vertex of $\triangle WXY$. Then, a reflection is needed to correct the orientation to map $\triangle BCD$ onto $\triangle WXY$.

Answer:

translation, then reflection