Geometry

Question Analysis:
This problem tests understanding of coordinate signs after reflection across y = -x.

Key Concept Explanation:
The reflection rule for y = -x is (x, y) → (-y, -x).
We must apply this to determine the signs of the new coordinates.

Step-by-Step Solution:
Original point: S(-5, 2)
Apply reflection:
New x-coordinate: -y = -2 (Negative)
New y-coordinate: -x = -(-5) = 5 (Positive)
Therefore S' = (-2, 5) → (Negative, Positive)

Common Mistakes:
Forgetting to negate both coordinates
Mixing up the or...