Geometry Chapter 1

Dimension Postulate

Dimension Postulate

A line contains at least 2 points; a plane contains at least 3 non collinear points; space contains at least 4 non coplanar points

Straight Line Postulate

Through any 2 distinct points there is exactly one line

Plane Existence Postulate

Through any 3 distinct points there is at least one plane, and through any 3 distinct noncollinear points there is exactly one plane.

Flat Plane Postulate

If two distinct points are in a plane, then the line containing these two points is also in that plane.

Plane Intersection Postulate

If 2 distinct planes intersect, then their intersection is a line

Line Intersection Theorem

If 2 distinct lines intersect, then their intersection is exactly 1 point.

Line-Point Theorem

If there is a line and a point not on the line, then exactly one plane contains them.

Line Intersect-Plane Theorem

If two distinct lines intersect, then exactly one plane contains them.

Postulate

A statement that is accepted as true without proof

Theorem

A statement that must be proven