Geometry

Question Analysis:
This advanced question tests understanding of sequential reflections and their geometric consequences.

Key Concept Explanation:
Double Reflection Properties:
Two reflections preserve area (A correct)
Orientation reverses twice (net no change) (C correct)
Final x-coordinates negative (E correct)
Common Misconceptions:
Perimeter changes (B incorrect)
Single reflection effects (D incorrect)

Step-by-Step Solution:
First reflection (x-axis):
(2, 3)→(2, -3), (4, 7)→(4, -7), (6, 1)→(6, -1)
Second reflection (y-axis):
(2, -3)→(-2, -3), (4, -7)→(-4, -7), (6, -1)→(-6, -1)
Verify properties:
Area unchanged (A)
Orientation reversed twice = original (C)
All x-coordinates negative (E)

Option Analysis:
A) Correct - Rigid transformations preserve area
B) Incorrect - Perimeter stays constant
C) Correct - T...