Question

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)

Answer 1

Reflection across y = -x maps (x,y) to (-y, -x). To undo it, apply the same rule to F' = (4, -2): (-(-2), -4) = (2, -4).

Answer: (2, –4).