Geometry

Question Analysis:
This question gives both the original point and its image, and asks for the line of reflection.
The main focus is understanding how to work backward to find the line between two symmetric points.

Key Concept Explanation:
In a reflection, the line of reflection lies exactly halfway between a point and its image.
If the x-values are the same, the reflection was vertical (up-down) — across a horizontal line (y = …)
If the y-values are the same, the reflection was horizontal (left-right) — across a vertical line (x = …)

Step-by-Step Solution:
Original point: (5, 2)
Reflected point: (5, 6)
Since x is the same (both are 5), the reflection was vertical, over a horizontal line
Find the midpoint between 2 and 6 on the y-axis:
→ (2 + 6) ÷ 2 = 4
So, the reflection happened across the line y = 4

Option Analysis:
A. x = 5 ❌ That’s a vertical line — not correct for this reflection
B. y = 4 ✅ Correct — ...