Geometry Postulates and Theorems

Front

Expansion Postulate

Back

A line contains at least two points. A plane contains at least three noncollinear points. Space contains at least four noncoplanar points.

Front

Line Postulate

Back

Any two points in space lie in exactly one line.

Front

Plane Postulate

Back

Three noncollinear points lie in exactly one plane.

Front

Flat Plane Postulate

Back

If two points lie in a plane, then the line containing those two points lies in the same plane.

Front

Line Intersection Postulate

Back

If two lines intersect, then their intersection is exactly one point.

Front

Plane Intersection Postulate

Back

If two planes intersect, then their intersection is exactly one line.

Front

Theorem T 1.3.1

Back

A line and a point not on that line are contained in one and only one plane.

Front

Theorem T 1.3.2

Back

Two intersecting lines are contained in one and only one plane.

Front

Theorem T 1.3.3

Back

Two parallel lines are contained in one and only one plane.