Postulates / Theorems

Postulate 1-1-1 Through any two points there is exactly one line.

Postulate 1-1-2 Through any three non-collinear points there is exactly one plane containing them.

Postulate 1-1-3 If two points lie in a plane, then the line containing those points lies in the plane.

Postulate 1-1-4 If two lines intersect, then they intersect in exactly one point.

Postulate 1-1-5 If two planes intersect, then they intersect in exactly one line.

Postulate 1-2-1 Rule Postulate

Postulate 1-2-2 Segment Addition Postulate

Postulate 1-3-1 Protractor Postulate

Postulate 1-3-2 Angle Addition Postulate

Theorem 1-6-1 Pythagorean Theorem

Theorem 2-6-1 Linear Pair Theorem

Theorem 2-6-2 Congruent Supplements Theorem

Theorem 2-6-3 Right Angle Congruence Theorem

Theorem 2-6-4 Congruent Complements Theorem

Theorem 2-7-2 Vertical Angles Theorem

Postulate 3-2-1 Corresponding Angles Postulate

Theorem 3-2-2 Alternate Interior Angles Theorem

Theorem 3-2-3 Alternate Exterior Angles Theorem

Theorem 3-2-4 Same-Side Interior Angle Theorem

Postulate 3-3-1 Converse of the Corresponding Angles Postulate

Postulate 3-2-2 Parallel Postulate

Theorem 3-3-3 Converse of the Alternate Interior Angles Theorem

Theorem 3-3-4 Converse of the Alternate Exterior Angles Theorem

Theorem 3-3-5 Converse of the Same-Side Interior Angles Theorem