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how can △wxy be mapped to △mnq? translate vertex w to vertex m, then re…

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 triangle - mapping

First, translate vertex W to vertex M to align one - point. Then, to map the rest of the triangle, we need to find the line of reflection.

Step2: Identify the line of reflection

When we translate W to M, we observe that the line containing $\overline{WX}$ will be the correct line of reflection to map $\triangle{WXY}$ to $\triangle{MNQ}$ as it will align the corresponding sides and angles correctly.

Answer:

$\overline{WX}$