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Axiom
A statement about real numbers that is accepted as true without proof.
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Deductive Reasoning
A form of reasoning by which each conclusion follows from the previous one; an argument is built by conclusions that progress towards a final statement.
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Inductive Reasoning
A form of reasoning in which a conclusion is reached based on a pattern present in numerous observations.
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Postulate
A statement about geometry that is accepted as true without proof.
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Theorem
A statement in geometry that has been proved.
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Undefined Terms
Terms that aren't defined, but instead explained; they form the foundation for all definitions in geometry.