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

Answer:

B. $(3,-1)$

Step-by-step 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.