Geometry: Inductive and Deductive Reasoning
Terms
Axiom
-
A statement about real numbers that is accepted as true without proof.
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.
Inductive Reasoning
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A form of reasoning in which a conclusion is reached based on a pattern present
in numerous observations.
Postulate
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A statement about geometry that is accepted as true without proof.
Theorem
-
A statement in geometry that has been proved.
Undefined Terms
-
Terms that aren't defined, but instead explained; they form the foundation for
all definitions in geometry.
