Here’s the correct pairing of terms and definitions:

• Axiom: A given definition assumed to be true.
• Theorem: A statement that requires proof.
• Proof: A logical argument showing that a theorem is true.

Would you like further clarification on any of these concepts or need additional details?

Here are 5 related questions:

1. What is the role of axioms in mathematical systems?
2. How does a theorem differ from a conjecture?
3. What are some famous mathematical theorems?
4. What is the importance of a formal proof in mathematics?
5. Can a theorem become an axiom under certain conditions?

Tip: When constructing a proof, breaking it into smaller logical steps can help ensure that every part of the argument is sound.