'Lines are parallel if they do not intersect' is stated in the form of

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An axiom

A definition

A postulate

A proof

answer is B.

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Detailed Solution

The given statement is 'Lines are parallel if they do not intersect'.
We know that an axiom or postulate is a statement which is taken to be true without proof.
A proof is an evidence establishing a fact or theorem.
A definition is a statement of the exact meaning of the word, i.e. a definition is a statement of the meaning of a term (a word, phrase, or other set of symbols).
Therefore, the statement 'Lines are parallel if they do not intersect' is the definition for parallel lines since it conveys the meaning of parallel or what is meant by saying two lines are parallel.
So, 'Lines are parallel if they do not intersect' is stated in the form of a definition.
Hence, option (2) is correct.

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