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Figure ABCDEF was reflected across the line y = –x to create figure A'B'C'D'E'F'. On a coordinate plane, a 6-sided figure has points A prime (negative 2, negative 2), B prime (negative 4, 2), C prime (negative 2, 6), D prime (4, 6), E prime (6, 2), and F prime (4, negative 2).
What are the coordinates of the pre-image of F'?
(–2, 4) (4, 2) (2, –4) (–4, –2)

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Answer: I think the answer is C. (2, -4)

Step-by-step explanation:

When you reflect an image across the line Y = -X, you switch and negate both the X and Y-values. So just reverse the coordinate of F'. By doing this, you will get (2, -4).

abidemiokin

The coordinate of the preimage F' after reflection over the line y =-x is (-2, -4)

Reflection of coordinates

Images that are reflected are mirror images of each other. If one of the coordinate point point (x, y) is reflected across a line y = -x, the resulting coordinate point will be (y, -x)

If one of the coordinate point of figure ABCDEF is reflected across the line y = -x, hence;

F (4,-2) -> reflection F'(-2, -4)

Hence the coordinate of the preimage F' after reflection over the line y =-x is (-2, -4)

Learn more on reflection here; https://brainly.com/question/3735128

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