Question

can a translation and a reflection map ∠qrs to ∠tuv? explain why or why not. yes, a translation mapping vertex s to vertex t and a reflection across the line containing rs will map ∠qrs to ∠tuv. no, the triangles are obtuse. no, the triangles are not congruent. yes, a translation mapping vertex q to vertex

Explanation:

Step1: Check congruence condition

For a translation and reflection to map one angle to another, the two triangles (formed by the angles and their adjacent sides) must be congruent. If the triangles are not congruent, we cannot map one angle to another using translation and reflection.

Step2: Analyze given options

The fact that triangles are obtuse has no bearing on whether we can map one angle to another using translation and reflection. The key is congruence. Since non - congruent triangles cannot be mapped onto each other using rigid motions (translation and reflection), the correct reasoning is that the triangles are not congruent.

Answer:

No, the triangles are not congruent.