Question

What is the rule for the reflection?

A. ry=x(x, y) → (–y, –x)
B. ry=–x(x, y) → (–y, –x)
C. ry=x(x, y) → (y, x)
D. ry=–x(x, y) → (y, x)

Answer 1

C. r y = x (x, y) → (y, x).

Explanation:

Answer 2

A reflection is a kind of transformation in which the figure is the mirror image of the other.

We have to identify the rules of reflection.

When we reflect a point across the line y = x, the x-coordinate and y-coordinate interchanges.

That means
`r_(y=x) (x,y) = (y,x)`

If we reflect a point over the line y = -x, the x-coordinate and y-coordinate interchanges and there signs are also changed.

That means
`r_(y=-x) (x,y) = (-y,-x)`

Therefore, Option B and C are the correct answers.