Can a translation and a reflection map TriangleQRS to TriangleTUV?

Yes

Step-by-step explanation:

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.

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

△QRS to △TUV.