Unit 2 Postulates

Two Point Postulate

Through any two points, there exists exactly one line

Line-Point Postulate

A line contains at least two points

Line Intersection Postulate

If two lines intersect, then their intersection is exactly one point

Three Point Postulate

Through any three noncollinear points, there exists exactly one plane

Plane-Point Postulate

A plane contains at least three noncollinear points

Plane-Line Postulate

If two points lie in a plane, then the line containing them lies in the plane

Plane Intersection Postulate

If two planes intersect, then their intersection is a line

Linear Pair Postulate

If two angles form a linear pair, then they are supplementary

Properties of Segment Congruence

Segment congruence is reflexive, symmetric, and transitive

Properties of Angle Congruence

Angle congruence is reflexive, symmetric, and transitive

Right Angles Congruence Theorem

All right angles are congruent

Congruent Supplements Theorem

If two angles are supplementary to the same angle (or to congruent angles), then they are congruent

Congruent Complements Theorem

If two angles are complementary to the same angle (or to congruent angles), then they are congruent

Vertical Angles Congruence Theorem

Vertical angles are congruent