Question

two rigid transformations are used to map △abc to △xyz. the first is a translation of vertex a to vertex x. what is the second transformation? a reflection across the line containing ab a reflection across the line containing ac a rotation about point a a rotation about point b

Explanation:

After translating vertex A to vertex X, to map the remaining parts of the triangle correctly, we observe the orientation and position of the triangles. A rotation about point A can adjust the orientation of △ABC to match △XYZ. A reflection across a line (AB or AC) would change the orientation in a way that is not consistent with the given mapping. Rotation about point D is not relevant as D is not a key - point for this transformation.

Answer:

C. a rotation about point A