Geometry

Question Analysis:
This question involves identifying a rotation based on a figure’s vertex coordinates before and after transformation.
The main focus is on recognizing coordinate transformation patterns consistent with standard rotation rules.

Key Concept Explanation:
Rotation rules about the origin:
90° Clockwise: (x, y) → (y, –x)
90° Counterclockwise: (x, y) → (–y, x)
180°: (x, y) → (–x, –y)
270° CCW = 90° CW

Step-by-Step Solution:
Let’s test one vertex: A(2, 3)
Try 90° counterclockwise:
 (2, 3) → (–3, 2) ✅ Matches A′
Try the same with other points:
 B(4, 3) → (–3, 4) ✅ Matches B′
 C(4, 1) → (–1, 4) ✅ Matches C′
All three match the 90° counterclockwise rule.
✅ Correct answer: B

Option Analysis:
A. ❌ (2, 3) → (3, –2) ≠ A′
✅ B. Corre...