Geometry

Question Analysis：
This question tests your ability to match a composite transformation rule to its geometric sequence.
The main focus is on understanding how a reflection over a diagonal line and a translation affect coordinates.

Key Concept Explanation：
We are given the transformation:
(x, y) → (−y + 5, −x − 2)
This transformation can be broken down into two parts:
A reflection over the line y = −x, which transforms (x, y) → (−y, −x)
Then a translation, adjusting both coordinates:
  x: −y → −y + 5 (right 5 units)
  y: −x → −x − 2 (down 2 units)
So the sequence is:
→ Reflect over y = −x
→ Translate 5 units right and 2 units down

Step-by-Step Solution：
Begin with a point (x, y)
Reflect over y = −x → becomes (−y, −x)
Translate:
  x: −y → −y + 5
  y: −x → −x − 2
Result: (−y + 5, −x − 2) — exactly matches the given rule ✅

Option Analysis：
A. Rotate 90° counterclockwise → (−y, x), does not match coordinate structure ❌
B. Rotate 90° clockwise → (y, −x), leads to a different form ❌
C. Reflect over y = −x, then translate down 2 and right 5 → matches both structure and constant...