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 ac, a rotation about point a, a reflection across the line containing ab, a rotation about point b

Explanation:

Step1: Identify first transformation effect

Translation moves A to X, preserving shape/size.

Step2: Analyze second transformation need

After translation, remaining vertices (B, C) must map to Y, Z via rigid transformation.

Step3: Evaluate options

Reflection across AC preserves distances; translated A(X) on AC line stays fixed, mapping B→Y, C→Z.

Answer:

a reflection across the line containing AC