# Proof-Based Geometry Postulates and Theorems

### 8 terms by sbn96

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### Postulate 5

A line contains at least two points; a plane contains at least three points not all in one line; space contains at least four points not all in one plane.

### Postulate 6

Through any 2 points there is exactly one line

### Postulate 7

Through any three points there is at least one plane, and through any three noncollinear points there is exactly one plane.

### Postulate 8

If two points are in a plane than the line that contains the two points is in that plane.

### Postulate 9

if two planes intersect, then their intersection is a line.

### Theorem 1-1

If two lines intersect then they intersect in exactly one point.

### Theorem 1-2

Through a line and a point not in the line there is exactly one plane.

### Theorem 1-3

If two lines intersect, then exactly one plane contains the lines.

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