Geometry

Question Analysis:
This question involves two sequential rotations about the origin.
The first is a 180° rotation, followed by a 90° counterclockwise rotation.

Key Concept Explanation:
180° Rotation Rule: (x, y) → (-x, -y)
90° Counterclockwise Rotation Rule: (x, y) → (-y, x)
Order Matters: Rotations are applied one after the other.

Step-by-Step Solution:
First Rotation (180°):
Original point: (2, -3)
After 180°: (-2, 3)
Second Rotation (90° CCW):
New point: (-2, 3)
Apply 90° CCW rule: (-3, -2)

Option Analysis:
A) Incorrect, swaps coordinates without proper negation.
B) Correct, follows both rotation rules in...