Question

the triangles are congruent by sss or hl. which transformation(s) can map △mnq onto △pqn? translation only reflection only rotation, then reflection rotation, then translation

Explanation:

Step1: Analyze translation

Translation moves a figure without rotating or reflecting it. Just translating △MNQ will not align it with △PQN as the orientation is different.

Step2: Analyze rotation

A rotation can change the orientation of △MNQ. But just rotation may not be enough to map it exactly onto △PQN.

Step3: Analyze reflection after rotation

First, rotating △MNQ to match the general orientation and then reflecting it can map △MNQ onto △PQN.

Answer:

rotation, then reflection