Question

What is the rule for reflection?

A. r(x-axis) (x,y)=(-x,y)
B. r(y-axis) (x,y)=(-x,y)
C. r(x-axis) (x,y)=(x,-y)
D. r(y-axis) (x,y)=(x,-y)

Answer 1

The rule for reflection over the x-axis is r(x-axis) (x,y) = (x,-y), and the rule for reflection over the y-axis is r(y-axis) (x,y) = (-x,y).

Step-by-step explanation:

The rule for reflection over the x-axis is given by the transformation r(x-axis) (x,y) = (x,-y), meaning that the x-coordinate stays the same while the y-coordinate is multiplied by -1, thus reflecting the point over the x-axis.

Conversely, the rule for reflection over the y-axis is r(y-axis) (x,y) = (-x,y), where the y-coordinate remains the same and the x-coordinate is multiplied by -1, reflecting the point over the y-axis.

Therefore, the correct answers are C for reflection over the x-axis and B for reflection over the y-axis.