Drag the tiles to the boxes to form correct pairs.

Match each term to its definition.

axiom

a logical argument showing
that a theorem is true

theorem

a statement that requires
proof

a given definition assumed
to be true

proof

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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.

Drag the tiles to the boxes to form correct pairs. Match each term to its definition: axiom, theorem, proof.

Learn the core differences between axioms, theorems, and proofs. This problem helps students understand mathematical logic and foundational concepts, including how proofs are used to validate theorems. Suitable for Grades 8-10.

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