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:

Translation and reflection are rigid transformations. Rigid transformations preserve the shape and size of a figure (i.e., the figures are congruent). For two triangles to be mapped onto each other by a translation and a reflection, they must be congruent. By observing the triangles, we can see that they are not congruent.

Answer:

No, the triangles are not congruent.