Question

how can δwxy be mapped to δmnq? translate vertex w to vertex m, then reflect across the line containing
○ (overline{wx})
○ (overline{wy})
○ (overline{xy})
○ (overline{mq})

Explanation:

First, check side lengths: $\triangle WXY$ has sides $WX=18$ cm, $WY=30$ cm; $\triangle MNQ$ has sides $MN=18$ cm, $MQ=30$ cm. To map $\triangle WXY$ to $\triangle MNQ$, translate $W$ to $M$ (matching vertices with equal adjacent sides). After translation, reflecting over $\overline{MQ}$ (the side corresponding to $\overline{WY}$) aligns the triangles because the other sides will match due to congruent lengths.

Answer:

C. $\overline{MQ}$