Question

how does a postulate become a theorem?

Answer 1

It became a theorem because it always right.

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Answer 2

A postulate is an excepted fact that does not need proof. A theorem is a hypotheses that is proven by a series of logical steps to a valid outcome.

For instance, one postulate from elementary geometry is the postulate that through any two points in euclidian space is a unique line.

An example of a theorem in geometry would be that If two angles are vertical angles then they are congruent.

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