There is no difference - synonymous.
an axiom is a fact/property such as "ac = ca"
a ruler measures the distance and a protractor measures the angles
An axiom is a self-evident statement that is assumed to be true. A theorem is proved to be true.
A proof uses postulates and theorems to prove some statement.
postulate theorems tell that the lines are parallel, but the converse if asking you to find if the lines are parallel.
Educated guess.
an axiom is a fact/property such as "ac = ca"
Parallel Postulate
Playfair Axiom
parallel postulate
A postulate or axiom
In classical studies, it is also called a postulate.
A postulate or axiom is an accepted statement of fact.
An axiom is a self-evident statement that is assumed to be true. A theorem is proved to be true.
a ruler measures the distance and a protractor measures the angles
properties are based on axioms
A postulate is assumed to be true while a theorem is proven to be true. The truth of a theorem will be based on postulates.