| A | B |
|---|
| Segment Addition Postulate | If B is between A and C, then AB=BC=AC |
| Angle Addition Postulate | If C is in the interior of <AOD, than m<AOC+m<COD=m<AOD |
| Through any two distinct points | there exists exactly one line. |
| A line contains | at least two distinct points |
| Through any 3 non-collinear points | there exists exactly one plane |
| If two distinct points lie in a plane | than the line containing them lies in a plane |
| If two distinct planes intersect | than their intersection will be a line. |
| Linear Pair Postulate | If two angles form a linear pair, then they are supplementary, and the sum of their measures is 180. |
| Congruent Supplements | If two angles are supplementary to the same angle or to congruent angles, then they are congruent |
| If two distinct lines intersect, | then their intersection is exactly one point |
| Parallel Postulate | if there is a line and a point not on the line, then there is exactly one line through the point parallel to the given line |
| Perpendicular Postulate | If there is a line and a point not on the line, then there is exactly one line through the point perpendicular to the given line |
| Corresponding Angles Postulate | If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. |
| Side-Side-Side Congruence postulate | If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent. |
| *Side angle Side Congruence Postulate | If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent. |
| Angle-Side-Angle | If two angles and the included side of one triangle then the two angles are congruent. |
