Question
What is the difference between a theorem and an axiom?

Answer

Axiom: An axiom is a basic fact that is taken for granted without proof.
Examples:
  1. Halves of equals are equal.
  2. The whole is greater than each of its parts.
Theorem: A statement that requires proof is called theorem.
Examples:
  1. The sum of all the angles around a point is 360°.
  2. The sum of all the angles of triangle is 180°.

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