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

Reflection across the $y - axis$ has the rule $(x,y)\to(-x,y)$.

Step2: Apply rule to point A

For point $A(-2,5)$, applying the rule $(x,y)\to(-x,y)$ gives $A'(2,5)$ since $-(-2) = 2$ and $y = 5$ remains the same.

Step3: Apply rule to point B

For point $B(1,0)$, applying the rule gives $B'(-1,0)$ as $-(1)=-1$ and $y = 0$ stays the same.

Step4: Apply rule to point C

For point $C(6,-2)$, applying the rule gives $C'(-6,-2)$ as $-(6)=-6$ and $y=-2$ remains unchanged.

Answer:

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