Question

two rigid transformations are used to map δabc to δxyz. 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 \( X \), we need to align the other vertices. A rotation about point \( A \) (now \( X \)) can map \( \triangle ABC \) to \( \triangle XYZ \) as the sides and angles match for a rotational transformation about \( A \). Reflections across \( AB \) or \( AC \) wouldn't align the triangles correctly here, and rotation about \( B \) is not appropriate as \( A \) is already translated to \( X \).

Answer:

a rotation about point A