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

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

Step2: Apply rule to point A

For point $A(2,0)$, when reflected in the $y - axis$, $x = 2$ becomes $-2$ and $y = 0$ remains the same. So $A'(-2,0)$.

Step3: Apply rule to point B

For point $B(-1,5)$, when reflected in the $y - axis$, $x=-1$ becomes $1$ and $y = 5$ remains the same. So $B'(1,5)$.

Step4: Apply rule to point C

For point $C(4,3)$, when reflected in the $y - axis$, $x = 4$ becomes $-4$ and $y = 3$ remains the same. So $C'(-4,3)$.

Answer:

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