Question
What is the difference between a theorem and an axiom?
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Answer
Axiom: 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 $180^\circ$ .
$i.$ 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 $180^\circ$ .
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