Question

1. reflecting the point (8, - 2) over the line y = - x results in:

a. (2, - 8)
b. (- 8,2)
c. (2,8)
d. (- 2, - 8)

Explanation:

Step1: Recall reflection rule

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

Step2: Apply rule to point

For the point $(8,-2)$, we have $x = 8$ and $y=-2$. Substituting into the rule gives $(-(-2),-8)=(2,-8)$.

Answer:

A. $(2,-8)$