Question

how can △wxy be mapped to △mnq? translate vertex w to vertex m, then reflect across the line containing ____________. ○ wx ○ wy ○ xy ○ mq

Explanation:

Step1: Analyze the translation

Translate vertex W to vertex M. This aligns one - vertex of the two triangles.

Step2: Determine the reflection line

After translating vertex W to vertex M, to map the rest of the triangle, we need to reflect across the line that will align the sides and angles correctly. Looking at the orientation of the triangles, we note that the line containing $\overline{WY}$ will be the correct line of reflection. When we reflect $\triangle WXY$ across the line containing $\overline{WY}$ after translating W to M, the triangles will be mapped onto each other.

Answer:

$\overline{WY}$