Question

Which point would map onto itself after a reflection across the line y = –x?

(–4, –4)
(–4, 0)
(0, –4)
(4, –4)

Answer 1

Reflection across y = −x maps (x,y) → (−y, −x). A point is fixed if y = −x. Among the choices, only (4, −4) satisfies y = −x, so (4, −4) maps onto itself.