# Postulates

## 15 terms

### Postulate 2.1

Through any two points, there is exactly one line

### Postulate 2.2

Through any three points not on the same line, there is exactly one plane

### Postulate 2.3

A line contains at least two points

### Postulate 2.4

A plane contains at least three points not on the same line

### Postulate 2.5

If two points lie in a plane, then the entire line containing those points lies in that plane

### Postulate 2.6

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

### Postulate 2.7

If two planes intersect, then their intersection is a line

### Theorem 2.5

Congruence of angles is reflexive, symmetric, and transitive.

### Theorem 2.6

Angles supplementary to the same angle or to congruent angles are congruent.

### Theorem 2.7

Angles complementary to the same angle or to congruent angles are congruent.

### Theorem 2.9

Perpendicular lines intersect to form four right angles.

### Theorem 2.10

All right angles are congruent.

### Theorem 2.11

Perpendicular lines form congruent adjacent angles.

### Theorem 2.12

If two angles are congruent and supplementary, then each angle is a right angle.

### Theorem 2.13

If two congruent angles form a linear pair, then they are right angles.