Question

triangle pqr has vertices p(-2, -1), q(-1, 4) and r(1, 3). triangle pqr has vertices p(-2, 1), q(-1, -4) and r(1, -3). which transformation maps △pqr onto △pqr, preserving side - lengths so that the triangles are congruent by sss? a reflection over the x - axis b reflection over the y - axis c reflection over the line y = x d rotation 90° clockwise about the origin e rotation 180° clockwise about the origin

Explanation:

Step1: Recall reflection rules

The rule for reflecting a point $(x,y)$ over the $x -$axis is $(x,y)\to(x, - y)$.

Step2: Apply rule to vertices

For point $P(-2,-1)$, reflecting over the $x -$axis gives $P'(-2,1)$. For $Q(-1,4)$, it gives $Q'(-1, - 4)$. For $R(1,3)$, it gives $R'(1,-3)$.

Answer:

A. reflection over the x - axis