Question

1. triangle pqr has coordinates p(-1, 5), q(1, 2), and r(-3, -1). determine the coordinates of the vertices of the image after a reflection in the y - axis. a) p(-1, -5), q(1, -2), and r(-3, 1) b) p(5, -1), q(2, -1), and r(-1, -3) c) p(1, 5), q(-1, 2), and r(3, -1) d) p(1, 5), q(1, 2), and r(3, 1)

Explanation:

Step1: Recall reflection rule

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

Step2: Reflect point P

Given $P(-1,5)$, applying the rule $(-x,y)$, we get $P'(1,5)$.

Step3: Reflect point Q

Given $Q(1,2)$, applying the rule $(-x,y)$, we get $Q'(-1,2)$.

Step4: Reflect point R

Given $R(-3,-1)$, applying the rule $(-x,y)$, we get $R'(3,-1)$.

Answer:

P'(1,5), Q'(-1,2), R'(3,-1)