randomness like i know what this is dont ask me oh wait it is letters
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An axiom is a self-evident statement that is assumed to be true. A theorem is proved to be true.
an axiom is a fact/property such as "ac = ca"
"A geometry rule that we accept to be true without any proof is called an axiom." "The axiom 'might makes right' is often true in the governments of the world.
An axiom is a truth recognised universally, or an established principle or rule. It is a self-evident statement such as the famous axiom by Rene Descartes: I think therefore I am. It is obvious that were one to think, that one would be - this is self evident.
An axiom, in Geometry, is a statement that we assume is true. Whether it is actually true or not is irrelevant. For the purpse of solving the problem, it is considered to be true.