# Geometry Postulates

## 19 terms

### Postulate 1 (Ruler Postulate)

The distance between points A and B (AB) is the absolute value of the difference between coordinates A and B

### Postulate 2 (Segment Addition Postulate)

If B is between A and C then AB+BC=AC

### Postulate 3 (Protractor Postulate)

The measure of <AOB is equal to the absolute value of the difference between the real numbers for ray OA and ray OB

### Postulate 4 (Angle Addition Postulate)

If ray P is in the center of <RST then the m<RSP+m<PST=m<RST

### Postulate 5

Through any two points there is exactly one line

### Postulate 6

A line has at least two points

### Postulate 7

If two lines intersect, their intersection is exactly one point

### Postulate 8

Through any three noncollinear points there lies exactly one plane

### Postulate 9

A plane contains at least three noncollinear points

### Postulate 10

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

### Postulate 11

If two planes intersect, then their intersection is a line

### Postulate 12 (Linear Pair Postulate)

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

### Right Angles Congruence Theorem

All right angles are congruent

### Congruent Supplements Theorem

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

### Congruent Complements Theorem

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

### Vertical Angles Congruence Theorem

Vertical angles are congruent

### Transitive Property of Equality

If a=b and b=c, then a=c

a=a

a=b, b=a