Geometry

Question Analysis:
This question tests your ability to recognize how a triangle's position and orientation change after a rotation.

Key Concept Explanation:
A 90° counterclockwise rotation about the origin follows the rule:
(x, y) → (−y, x)

Step-by-Step Solution:
Let’s apply the 90° CCW rule to each point:
(1, 2) → (−2, 1) ✅
(4, 2) → (−2, 4) ✅
(4, 5) → (−5, 4) ✅
All points match the red triangle's coordinates after 90° CCW rotation.

Option Analysis:
A. 90° clockwise → (x, y) → (y, −x) → gives (2, −1), not matching
B. 180° → (x, y) → (−x, −y) → gives (−1, −2), not matching
C. ✅ 90° counterclockwise → (x, y) → (−y, x) → correct
D. 270° CCW → same as 90° cl...