Question

triangle congruence. two rigid transformations are used to map △abc to △qrs. the first is a translation of vertex b to vertex r. what is the second transformation? a reflection across the line containing cb. a rotation about point c. a rotation about point b. a reflection across the line containing ab.

Explanation:

Step1: Analyze the first - step translation

The first transformation is a translation of vertex B to vertex R. After translation, we need to align the other parts of the triangles.

Step2: Consider rotation properties

A rotation about point C will adjust the orientation of the triangle to match △QRS. A reflection across a line will change the orientation in a different way than what is needed here. Since the first step is a translation, a rotation about the point that has a corresponding vertex (point C) after translation is appropriate for mapping the triangles.

Answer:

a rotation about point C