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

Answer:

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

Step-by-step 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.