| A | B |
|---|
| A line contains at least | two points |
| A plane contains at least | three noncollinear points |
| Space contains at least | four noncoplanar points |
| Through any two points | there is exactly one line |
| Through any three points there is | AT LEAST one plane |
| Through any three noncollinear points there is | EXACTLY one plane |
| If two points are in a plane, then | the line that contains the points is in that plane |
| If two planes intersect, then they intersect | in a line |
| If two lines intersect, then they intersect | in exactly one point |
| Through a line and a point not in the line there is | exactly one plane |
| If two lines intersect, then | exactly one plane contains the lines |
If B is between A and C, then,  | AB + BC = AC |
| Three ways to determine a plane | 1) Three noncollinear points, 2) A line and a point not on the line and 3) Two intersecting lines,  |
