Geometry

Question Analysis:
This question involves a sequence of two isometries.
The main focus is on composing multiple transformations in a specific order and tracking coordinate changes.

Key Concept Explanation:
Rotation 180° about the origin: → Rule: (x, y) → (−x, −y)
Reflection over the x-axis: → Rule: (x, y) → (x, −y)
When transformations are combined, the order matters — apply them step-by-step.

Step-by-Step Solution:
Start with point A: (−2, 3)
Step 1: Rotate 180°
(−2, 3) → (2, −3)
Step 2: Reflect over x-axis
(2, −3) → (2, 3) ✅

Option Analysis:
A. (2, −3) → after rotation only
B. (2, 3) → correct after both steps
C. (−2, −3) → reflection over y-axis
D. (−2, 3) → original point, no transformation