Question:
What is the difference between a theorem and an axiom?
Solution:
An axiom is a basic fact that is taken for granted without proof. Examples:
i) Halves of equals are equal.
ii) The whole is greater than each of its parts.
Theorem: A statement that requires proof is called theorem. Examples:
i) The sum of all the angles around a point is $360^{\circ} .$
ii) The sum of all the angles of triangle is $180^{\circ}$.