Geometry

Question Analysis:
This is a logical reasoning question based on rewriting implications using contrapositive logic.
The main focus is whether the student’s transformed statement is a logically equivalent contrapositive.

Key Concept Explanation:
Given: If p → q
Contrapositive: If ¬q → ¬p
Let:
p: number divisible by 6
q: number divisible by 3
Then contrapositive:
If not divisible by 3 → not divisible by 6

Step-by-Step Solution:
Start with: If divisible by 6 → divisible by 3
Contrapositive: If not divisible by 3 → not divisible by 6
This is logically equivalent and often easier to prove
For example: 7 is not divisible by 3 → can’t be divisible by 6

Option Analysis:
A. ✅ This is the correct contrapositive