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

Answer:
A postulate is a statement that is assumed true without proof. A theorem is a true statement that can be proven
Step-by-step explanation:
Like the midpoint theorem search that up and angle addition postulate
Answer:
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.