"Lines are parallel if they do not intersect' is stated in the form
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u asked questions is the definition
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An axiom or postulate is a statement which is taken to be true without proof .
A proof is an evidence established a fact or theorem
A definition is a statement of the exact meaning of the word
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 ,the answers is lines are parallel if they do not intersect this statement is the definition
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definition
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