Question

the triangles are congruent by sss. which transformation(s) can be used to map one triangle onto the other? select two options. reflection only translation only dilation, then translation rotation, then translation rotation then dilation

Explanation:

• Reflection only: A reflection can flip one triangle over a line to map it onto the other congruent triangle.
• Rotation, then translation: First, rotate one triangle around a point to align its orientation with the other triangle, and then translate (slide) it to the exact position of the other triangle. Since the triangles are congruent (same shape and size), dilation (which changes size) is not needed. Translation only won't work as the orientation might not match.

Answer:

reflection only, rotation, then translation