Unit 1 Vocabulary

Front

Axiomatic System

Back

A set of axioms from which theorems can be derived.

Front

Undefined Terms

Back

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

Front

Definition

Back

An explanation that assigns properties to a mathematical object.

Front

Defined Term

Back

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

Front

Axiom or Postulate

Back

A statement that is accepted as true without proof.

Front

Theorem

Back

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

Front

Synthetic Geometry

Back

The study of geometric figures without the use of coordinates.

Front

Analytic Geometry

Back

The study of geometry using a coordinate system.

Front

Point

Back

A location; it has neither shape nor size.

Front

Line

Back

Made up of an infinite amount of points with no thickness or width.