Question

What is the rule for finding the coordinates of an image reflected over the line y=-x?

A. (x,y) →(-y,-x)
B. (x,y)→(y,x)
C. (x,y)→(y,-x)
D. (x,y)→(x,-y)

Answer 1

the x value will change to y avlue and vice versa

so x---> y and y---> x

(x,y) --> (y,x)

B

Answer 2

A.
`(x,y)\rightarrow (-y,-x)`

Explanation:

We are asked to find the rule for finding the coordinates of an image reflected over the line
`y=-x`.

We know that the after reflection across the line
`y=-x` the x- and y-coordinates of a point interchanges places and their signs are also changed.

This means that rule of reflection across the line
`y=-x` is
`(x,y)\rightarrow (-y,-x)`, therefore, the option A is the correct choice.