Question

triangle congruence. which rigid transformation would map △abc to △abf? a reflection across the line containing ba. a reflection across the line containing cb. a rotation about point a. a rotation about point b.

Explanation:

Step1: Recall reflection property

A reflection flips a figure over a line.

Step2: Analyze given triangles

The common side between $\triangle ABC$ and $\triangle ABF$ is $\overline{AB}$. A reflection across the line containing $\overline{BA}$ will map $\triangle ABC$ to $\triangle ABF$ as points $C$ and $F$ will be mirror - images of each other with respect to the line $\overline{BA}$. Rotations about points $A$ or $B$ will not map $\triangle ABC$ to $\triangle ABF$ directly, and reflection across $\overline{CB}$ is incorrect.

Answer:

a reflection across the line containing $\overline{BA}$