Question

triangle congruence. the triangles are congruent by the sss congruence theorem. which rigid transformation(s) can map △mnp onto △tsr? translation, then reflection translation, then rotation rotation only reflection only

Explanation:

First, a translation can be used to move △MNP so that one of its vertices coincides with the corresponding vertex of △TSR. Then, a rotation can be used to align the remaining sides and angles of the two congruent triangles. A single - rotation or reflection won't map △MNP onto △TSR directly as their orientations and positions relative to each other require both a translation to get them in the right position and a rotation to get them in the right orientation.

Answer:

translation, then rotation