Geometry

Question Analysis：
This question involves interpreting a composite transformation rule and matching it to a geometric sequence.
The main focus is on identifying reflection over a diagonal line, and correctly analyzing how translation modifies the result.

Key Concept Explanation：
To analyze the rule (x, y) → (−y − 4, −x + 2), break it into two stages:
Look at the structure of (−y, −x):
 This is the result of reflecting over y = −x
The constants (−4, +2) represent a translation:  - x becomes −y → then subtract 4 → move left 4
 - y becomes −x → then add 2 → move up 2
So the sequence is:
→ Reflect over y = −x
→ Translate 4 units left and 2 units up ✅

Step-by-Step Solution：
Start with (x, y):
Step 1: Reflect over y = −x: (x, y) → (−y, −x)
Step 2: Translate
 x: −y → −y − 4 (left 4)
 y: −x → −x + 2 (up 2) → Final result: (−y − 4, −x + 2)
Which matches the given rule exactly.

Option Analysis：
A. Reflect over y = −x, then translate 2 up and 4 left → matches ✅
B. Rotate 180°, then translate right/down → 180° gives (−x, −y), does not match form ❌
C. Rotate 27...