geometry ch 1.5 postulates & theorems

postulate

Statements accepted without proof, state something obvious, and form the basis of a logical system

Postulate (no name)

A line contains at least two points. A plane contains at least 3 points

Line postulate

Through any two points, there lies exactly one line (lines are straight.) Two points determine a line.

Plane postulate

Any three points lie in at least one plane. Any three non collinear points lie in exactly one plane. (3 noncollinear points determine a line)

Flat plane postulate

If two points lie in a plane, then the line containing them lies in that same plane. (Planes are as flat as line are) (Planes dont curve.)

Theorem

A statement that can be proved using definitions, postulates, and/or previously proven theorem