What is the difference between a postulate, theorem, and a corollary?

Question:I just started taking Geometry and I was curious as to what the difference is between the three.

Answers:
A postulate is something we assume to be true. We usually use postulates to prove theorems.

Theorem: A proposition that has been or is to be proved on the basis of explicit assumptions.

Corollary: A proposition that follows with little or no proof required from one already proven.
Theorems give rise to corollaries. Usually a corollary is very easy to prove using the theorem that it arose from.

I used this dictionary for some formal definitions:
http://education.yahoo.com/reference/dic...

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