Language & Basis of Geometry

	Postulates

A)  Through any two points, there is exactly one line.

B) Dimension Assumption: Given a line in a plane, there exists a point in the plane not on that line. 
C) If two points lie on a plane, the line containing them also lies on the plane.

D) Through three noncolinear points, there is exactly one plane.

E) If two different planes have a point in common, then their intersection is a line.

F) A line segment can be extended indefinitely along a line.

Theorems

A) Two different lines intersect in at most one point. 
B) If C is between A and B and on , then AC + CB = AB.
Related Theorems:
C) If A, B, and C are distinct points and AC + CB = AB, then C lies on .

D) Pythagorean Theorem: a² + b² = c², if c is the hypotenuse.
 

Note: While you can usually get away with not knowing the names of theorems, your Geometry teacher will generally require you to know them.