Question

to show how aas follows from the definition of congruence, answer the following question. what rigid transformation maps △abc→△def?

Explanation:

Step1: Identify corresponding parts

We know that for two triangles to be congruent under AAS (Angle - Angle - Side), we need to match the angles and non - included side. Looking at the triangles $\triangle A''B''C''$ and $\triangle DEF$, we note the equal angles and side.

Step2: Consider rigid transformations

Rigid transformations include translations, rotations, and reflections. Since the orientation of $\triangle A''B''C''$ is different from $\triangle DEF$, we need a rotation. Rotating $\triangle A''B''C''$ about point $E$ (since $E$ is a common vertex - like point in the two triangles' relationship) can map it onto $\triangle DEF$.

Answer:

A rotation about point $E$