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
In mathematics, a postulate is a statement that is accepted as true without proof, while an axiom is a statement that is considered self-evident and serves as a starting point for logical reasoning. Both are fundamental assumptions used in mathematical reasoning, but postulates are specific to a particular mathematical system, while axioms are more general and foundational.
A postulate or axiom
In classical studies, it is also called a postulate.
A postulate or axiom is an accepted statement of fact.
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.
properties are based on axioms
Another name for the Playfair Axiom is the Euclid's Parallel Postulate. It states that given a line and a point not on that line, there is exactly one line parallel to the given line passing through the given point.