| Term | Definition |
| Ruler Postulate | 1. The points on a line can be paired with the real numbers in such a way that any tho points can have coordinates 0 and 1. 2. Once a coordinate system has been chosen in this way , the distance between any two points equals the absolute value of the differences of their coordinates. |
| Segment Addition Postulate | If B us between A and C, then AB + BC = AC |
| Protractor Postulate | Protractor Postulate |
| Angle Addition Postulate | if point B lies in the interior of <AOC, then m<AOB + m<BOC = M<AOC. If <AOC is a straight angle and B is any point not on Line AC, then m<AOB + m<BOC = 180 |
| 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 two points there is exactly one line |
| Postulate 7 | Through any three points there is at least one place |
| Postulate 8 | Through any three points there is at least one plane, and through any three noncollinear points there is exactly one place. |
| 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 |