Question

how can △wxy be mapped to △mnq? translate vertex w to vertex m, then reflect across the line containing _____. options: (overline{wx}), (overline{wy}), (overline{xy}), (overline{mq})

Explanation:

Step1: Analyze triangle - vertex mapping

First, we translate vertex W to vertex M. Then, to map the triangles correctly, we need to find the line of reflection. When we consider the orientation of the triangles, we note that the side - length and angle relationships. The line of reflection should be such that the remaining vertices are mapped appropriately.

Step2: Identify the line of reflection

By observing the triangles, we see that reflecting across the line containing $\overline{WY}$ will map $\triangle WXY$ to $\triangle MNQ$ after translating W to M. This is because the sides and angles will align correctly with this reflection.

Answer:

$\overline{WY}$