Question

On a coordinate plane, a straight line and a parallelogram are shown. The straight line has a negative slope and has a formula of y = negative x. The parallelogram has points G (negative 2, negative 3), F (1, negative 3), E (negative 1, negative 5), and H (2, negative 5).
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)

Answer 1

Reflection across the line y = −x maps (x, y) to (−y, −x).
For F(1, −3) this gives (−(−3), −1) = (3, −1).

Answer: (3, −1)