Question

What are the coordinates of the image of vertex F after a reflection across the line y= -x

Answer 1

(3,-1)

y = -x reflection means the x and y values are flipped and are negated.

Answer 2

B.
`(3,-1)`

Explanation:

We have been given an image of a quadrilateral. We are asked to find the coordinates of the image of vertex F after a reflection across the line
`y=-x`.

We know that rule of reflection across the line
`y=-x` is
`(x,y)\rightarrow(-y,-x)`.

We can see that coordinates of point F are
`(1,-3)`.

After reflecting point F across the line
`y=-x`, the x- and y-coordinates will interchange their place and their signs will be changed as well.

`(1,-3)\rightarrow(--3,-1)=(3,-1)`

Therefore, the coordinates of the image of vertex F after a reflection across the line
`y=-x` are
`(3,-1)` and option B is the correct choice.