5

Through any two points there exists exactly one line.

6

A line contains at least two points.

7

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

8

Through any three non-collinear points there exists exactly one plane.

9

A plane contains at least three non-collinear points.

10

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

11

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