Question

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

Explanation:

Step1: Check congruence by markings

The triangles have congruent angle - angle - side (AAS) markings, so they are congruent.

Step2: Analyze transformation options

A translation mapping vertex Q to vertex T and a reflection across the line containing QS can map △QRS to △TUV.

Answer:

Yes, a translation mapping vertex Q to vertex T and a reflection across the line containing QS will map △QRS to △TUV.