Geometry

Question Analysis:
This question focuses on reflecting over a vertical line that is not an axis, testing both spatial reasoning and algebraic translation of geometric ideas.

Key Concept Explanation:
To reflect over the line x = a, use the rule: (x, y) → (2a − x, y)
In this case: a = 3 ⇒ rule becomes: (x, y) → (6 − x, y)

Step-by-Step Solution:
Let’s test with x = 1:
Reflect over x = 3: 1 is 2 units to the left → image should be 2 units to the right → x = 5
Check:
2 × 3 − 1 = 6 − 1 = 5 ✅
So rule is (6 − x, y)

Option Analysis:
A: reflects over ori...