Question

triangle abc has coordinates a(2, 0), b(-1, 5), and c(4, 3). determine the coordinates of the vertices of the image after a reflection in the y - axis. a) a(-2, 0), b(1, 5), and c(-4, 3) b) a(2, 0), b(-1, -5), and c(4, -3) c) a(2, 2), b(-1, 7), and c(4, 5) d) a(-2, 0), b(1, -5), and c(-4, -3)

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ in the $y - axis$, the transformation rule is $(x,y)\to(-x,y)$.

Step2: Reflect point A

For point $A(2,0)$, applying the rule $(x,y)\to(-x,y)$, we get $A'(- 2,0)$.

Step3: Reflect point B

For point $B(-1,5)$, applying the rule $(x,y)\to(-x,y)$, we get $B'(1,5)$.

Step4: Reflect point C

For point $C(4,3)$, applying the rule $(x,y)\to(-x,y)$, we get $C'(-4,3)$.

Answer:

A. A'(-2, 0), B'(1, 5), and C'(-4, 3)