‘Lines are parallel if they do not intersect’ is stated in the form of:

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A proof

An axiom

A definition

A postulate

answer is C.

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Detailed Solution

Given that, ‘Lines are parallel if they do not intersect’.
Parallel lines are lines which do not intersect at anywhere i.e. infinity.
Axioms is a statement that is always true, which used for further reasoning.
Definitions is a statement meaning of the term, it defines clearly something.
Postulate is a basis for reasoning which is already suggested to be true.
Proof is evidence of something which is true.
As we know that definition means defining something very clearly, i.e., parallel lines are defined as the lines which do not intersect.
So, it is a definition.
Therefore, option (3) is correct.

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