Question

Triangle upper K upper B upper P, labeled counter-clockwise, shows the long horizontal base as upper K upper B, with vertex upper P as the top point. Triangle upper A upper Q upper L, labeled counter-clockwise, shows the long horizontal base as upper A upper Q, with vertex upper L as the top point.


To prove the triangles are congruent, which of the following rigid motions would map △PBK
△
𝑃
𝐵
𝐾
to △LQA
△
𝐿
𝑄
𝐴
?

(1 point)
Responses

rotation of 180°
180
°
(counterclockwise) about point B
𝐵

rotation of 180 degrees (counterclockwise) about point upper B

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

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

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

translation along the vector so that point upper B maps to point upper Q

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

Answer 1

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

Reason: the correspondence is P→L, B→Q, K→A. A translation by vector Q−B sends B to Q, K to A and P to L, carrying △PBK onto △LQA.