Geometry

Question Analysis：
This question tests direct application of the 90° counterclockwise rotation rule about the origin.

Key Concept Explanation：
The fundamental rotation rule states that a 90° CCW rotation transforms (x, y) to (-y, x).
This represents a quarter-turn left around the origin.

Step-by-Step Solution：
Original coordinates: (4, -1)
Apply rotation:
New x = -original y = -(-1) = 1
New y = original x = 4
Final coordinates: (1, 4)

Option Analysis：
A) Correct application of (-y, x) rule
B) Incorrect sign on x, y-coordinate
C) Reflects over origin instead of rotating
D) Partial transformation with incorrect signs

Common Mistakes...