Use the image to answer the question.Two acute scalene triangles of equal dimensions and the same orientation. Triangle upper K upper B upper P is in the upper left, and triangle upper A upper Q upper L is in the lower right.To prove the triangles are congruent, which of the following rigid motions would map △PBK to △LQA?(1 point)Responsestranslation along the vector so that point B maps to point Qtranslation along the vector so that point upper B maps to point upper Qtranslation along the vector so that point B maps to point Atranslation along the vector so that point upper B maps to point upper Arotation of 180° (counterclockwise) about point Brotation of 180 degrees (counterclockwise) about point upper Btranslation along the vector so that point P maps to point A

Answer 1

To prove that the triangles \(\triangle PBK\) and \(\triangle LQA\) are congruent using rigid motions, we need to determine a motion that maps point \(B\) to point \(Q\) and effectively matches the orientation and dimensions of the two triangles.

The correct answer from the provided options would be:

Translation along the vector so that point \(B\) maps to point \(Q\).

This translation would correctly align the corresponding vertices of the two triangles, while maintaining their shape and orientation. After this translation, verify whether the other points align as well to confirm congruence.