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 $(-x,y)$.

Step2: Reflect point A

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

Step3: Reflect point B

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

Step4: Reflect point C

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

Answer:

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