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Geometry Postulates

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Unique Line Postulate
If there are two points, then they will determine a line.
Postulate #2
If there is a line, then it contains at least two points.
Unique Plane Postulate
If there are three non-collinear points, then they determine a plane.
Postulate #4
If there is a plane, then it contains at least three non-collinear points.
Postulate #5
If the points are in the plane, the line is in the plane
Postulate #6
If two planes intersect, their intersection is a line.
Ruler Postulate
Points A, B and C lie on a line.

AC - AB = BC
Segment Addition Postulate
Points A, B and C lie on a line.

AB + BC = AC
Protractor Postulate
Two angles (angle 1, angle two) share a ray and form one larger angle (angle 3).

Angle 3 - Angle 2 = Angle 1
Angle Addition Postulate
Two angles (angle 1, angle two) share a ray and form one larger angle (angle 3).

Angle 1 + Angle 2 = Angle 3
Linear Pair Postulate
Two angles share a ray and form a larger angle of 180 degrees.

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