Question

to prove the triangles are congruent, which of the following rigid motions would map △pbk to △lqa? (1 point) translation along the vector so that point b maps to point a rotation of 180° (counter - clockwise) about point b translation along the vector so that point b maps to point q translation along the vector so that point p maps to point a

Explanation:

Step1: Analyze congruence - key point

For two triangles to be congruent via rigid - motion, we need to match corresponding vertices.

Step2: Identify corresponding vertices

In \(\triangle PBK\) and \(\triangle LQA\), we can see that \(B\) corresponds to \(A\).

Step3: Determine the motion

A translation that maps \(B\) to \(A\) will start aligning the two triangles correctly for congruence. Other options won't directly map the triangles to be congruent as required.

Answer:

translation along the vector so that point B maps to point A