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Postulate
See It in Action
Two examples of the idea done right—and one common look-alike that is not right.
EXAMPLE
EXAMPLE
NON-EXAMPLE
Definition
A postulate (also called an axiom) is:
“A statement that is accepted as true without proof.”
Key characteristics:
Postulates are basic assumptions about geometric relationships.
They form the foundation for building logical arguments and proving theorems.
They are considered so obvious or fundamental that they don’t need to be proven.
Example:
One common postulate is the Line Postulate:
“Through any two points, there is exactly one line.”
This is accepted as true and used to prove more complex geometric ideas.
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