Question

What are the coordinates of the image of vertex F after a
reflection across the line y = -x?
(-1, -3)
(3,-1)
(1,3)
(-3, 1)
G(-2, -3)
F(1.-3
E-1.-5)
H(2-5)

Answer 1

So F(1,-3) reflect over y= -x which is -> (-y,-x)

The answer is F(3,-1)

Hope this helps!

Answer 2

The coordinate of the vertex F across y = -x will be (3, -1). Then the correct option is B.

What is a reflection of the point?

It is the image of the point which is located in the opposite direction of a given point.

The rule of the reflection is given will be

Firstly, the rule for reflecting a point about the line y = x is;

While reflecting on the line y = x, we get the reflected points by swapping the coordinates.

Now, the rule for reflecting a point about the line y = -x is;

While reflecting on the line y = -x, we get the reflected points by multiplying '-1' with the swapped coordinates.

The coordinates of the image are given below.

G(-2, -3), F(1, -3), E(-1, -5), and H(2, -5)

The reflection across the line y = -x.

Then the coordinate of the vertex F across y = -x will be (3, -1).

Then the correct option is B.

More about the reflection of the point link is given below.

https://brainly.com/question/938117

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