Q: What is is a geometry rule that is accepted without proof called?

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An axiom.

No, theorems cannot be accepted until proven.

Such terms are called axioms, or postulates.Exactly which terms are defined to be axioms depends on the specific system used.

It is possible to draw a straight line from any point to any other point.

It is called an axiom.

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An axiom.

No, theorems cannot be accepted until proven.

Such terms are called axioms, or postulates.Exactly which terms are defined to be axioms depends on the specific system used.

It is possible to draw a straight line from any point to any other point.

It is called a religion.

its a postulate.

It is called an axiom.

A rule or a statement that is accepted without proof is a postulate.

axioms or postulates

That would be a postulate

Such statements are called postulates in geometry and axioms in other areas. Definitions are also accepted without proof, but technically they are abbreviations rather than statements.

a postulate