Question

triangle abc has vertices a(-2, 5), b(1, 0), and c(6, -2). what are the coordinates of the vertices of △abc for $r_{y - axis}$?
a. a(5, -2), b(0, 1), and c(-2, 6)
b. a(2, -5), b(-1, 0), and c(-6, 2)
c. a(2, 5), b(-1, 0), and c(-6, -2)
d. a(-2, -5), b(1, 0), and c(6, 2)

Explanation:

Step1: Recall reflection rule

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

Step2: Reflect point A

Given $A(-2,5)$, applying the rule $(-2,5)\to(2,5)$.

Step3: Reflect point B

Given $B(1,0)$, applying the rule $(1,0)\to(-1,0)$.

Step4: Reflect point C

Given $C(6,-2)$, applying the rule $(6,-2)\to(-6,-2)$.

Answer:

C. $A'(2,5), B'(-1,0),$ and $C'(-6,-2)$