Geometry: Module 1 Vocabulary

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line

Back

It is made up of points with no thickness or width. It is one-dimensional.

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Axiomatic System

Back

A set of axioms from which theorems can be derived. Example: rules in the game of Monopoly

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undefined terms

Back

Words that are usually readily understood, that are not formally explained by means of more basic words and concepts.

Examples: point, line, plane

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definition

Back

It assigns properties to a mathematical object.

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defined term

Back

A term that has a definition and can be explained using undefined terms and/or defined terms.

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axiom or postulate

Back

A statement that is accepted as true without proof. It cannot be proven.

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theorem

Back

A statement or conjecture that can be proven true using undefined terms, definitions, and axioms.

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synthetic geometry

Back

The study of geometric figures without the use of coordinates. It sometimes is called Euclidean Geometry.

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analytic geometry

Back

The study of geometry using a coordinate system. It sometimes is called Cartesian Geometry.

Front

point

Back

A location with no size or shape. It is zero-dimensional.