Three words that are used seemingly interchangeably in Geometry
are postulate, axiom, and conjecture. It is important, however,
to know how each word is different and to know the subtle
implications of using each word. These terms are especially
important when working with Geometry proofs. Now that you're in
geometry we are going to use three words that you probably
didn't use in Algebra. They are postulate, axiom, and
conjecture. And they get confusing when to use one and not the
other. While, postulate or an axiom is an accepted statement of
fact, there is nothing that you can prove wrong about it, a
conjecture is a conclusion derived from inductive reasoning.
Well inductive reasoning, if I draw a line under that, is the
process of observing patterns and making generalizations so not
everyone is going to be true. Well, what is an example of a
postulate or an axiom? If you look over here, a postulate of an
axiom could say through any two points there exists only one
line. Well, if I think about two points so