Geometry

Question Analysis:
This question involves reflection across a vertical line because the y-values are the same and x-values differ.
The main focus is on determining the vertical line that lies exactly halfway between the x-values of the original point and its image.

Key Concept Explanation:
When a point is reflected over a vertical line, the x-coordinate changes, but y stays the same
The line of reflection lies at the midpoint between the x-values of the original point and its image

Step-by-Step Solution:
Point E: (2, 6)
Point E′: (8, 6)
y-values are the same ⇒ reflection across a vertical line
Midpoint of x-values: (2 + 8) ÷ 2 = 5
So, the line of reflection is x = 5

Option Analysis:
A. x = 5 ✅ Correct — midpoint of 2 and 8
B. x = 3 ❌ Incorrect midpoint
C. y = 6 ❌ That's the constant y-value, not the reflection line
D. y = 3 ❌ Wrong axis and value
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