Question

what combination of transformations is shown below?
translation, then rotation
translation, then reflection
reflection, then rotation
reflection, then translation

Explanation:

1. First, analyze the transformation from triangle ① to triangle ②: A reflection (flip) over a vertical or horizontal line would map ① to a position similar to ②'s orientation.
2. Then, from triangle ② to triangle ③: A translation (slide) vertically upward would move ② to ③'s position. So the combination is reflection first, then translation.

Answer:

reflection, then translation