In geometry, what’s the difference between a postulate and a theorem? give an example of each

Step-by-step explanation:

This is a course specific question. What I think is a postulate may not be listed in your lesson. A postulate is a statement that is assumed to be true. There has not been an exception found in over 2000 years. A postulate does not require proof: its truth is accepted.

Example: Two points on the same plane have exactly 1 line that can go through them.

Theorem: using the postulates to begin with, a theorem is a statement that can (and should) be proved.

Example: Two lines that are on the same plane, if they intersect at all, intersect only once.

a^2 + b^2 = c^2

This well known theorem can be proved well over 100 ways.

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