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A statement whose truth is accepted without proof is considered to be?
An axiom
What geometric term means a statement whose truth is accepted without proof?
An axiom.
What is the best definition for the word axiom?
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.
Why is the postulate 5 in the Euclid axiom considered to be universal truth?
It is NOT considered a universal truth. It used to be, because mathematicians considered it to be "self-evident", but more recently, mathematical systems both with and without the parallel axiom have been developed. It turns out the "non-euclidian geometries" are very useful. In the real world, the euclidian geometry does NOT apply - although in many cases it is a good approximation.
What is the difference between an axiom and a theorem?
An axiom is a self-evident statement that is assumed to be true. A theorem is proved to be true.
