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

A point on the line of reflection stays in the same place. The line y = −x contains points whose y-coordinate is the opposite of their x-coordinate. For (4, −4), y = −4 = −(4), so it lies on the line and maps onto itself. The correct choice is (4, −4).

AI-written and checked against the verified answer.