Geometry

Question Analysis:
This question evaluates multi-step rotations, including a symmetric rotation (180°), and tests simplification skills.

Key Concept Explanation:
180° Rotations: Identical in CW and CCW directions.
270° CCW: Equivalent to −90° CCW, simplifying calculations.

Step-by-Step Solution:
Method 1: Angle Addition
Convert all to CCW:
90° CCW (given).
180° CW = 180° CCW.
270° CCW = −90° CCW.
Add rotations: 90° + 180° + (−90°) = 180° CCW.
Method 2: Full Summation
Convert 180° CW to 180° CCW.
Sum: 90° + 180° + 270° = 540° CCW.
Simplify: 540° − 360° = 180° CCW.

Option Analysis:
A) Incorrect: Only accounts for the first rotation.
B) Correct: Matches both methods....