| A | B |
|---|
| Corresponding Angles Postulate (P3-1) | If 2 parallel lines are cut by a transversal, then each pair of corresponding angles is congruent |
| Alternate Interior Angles Theorem (T3-1) | If 2 parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent |
| Consecutive Interior Angles Theorem (T3-2) | If 2 parallel lines are cut by a transversal, then each pair of consecutive interior angles is supplementary |
| Alternate Exterior Angles Theorem (T3-3) | If 2 parallel lines are cut by a transversal, then each pair of alternate exterior angles is congruent |
| Perpendicular Transversal Theorem (T3-4) | In a plane, if a line is perpendicular to one of the 2 parallel lines then it is perpendicular to the other |
| Paralell Lines and Slope Postulate (P3-2) | 2 nonvertical lines have the same slope, if and only if, they are parallel |
| Perpendicular lines and slope Postulate (P3-3) | 2 nonvertical lines are perpendicular, if and only if, the product of their slope is -1 |
| Converse of Corresponding Angles Postulate (P3-4) | If 2 lines in a plane are cut by a transversal so that the corresponding angles are congruent, then the lines are parallel |
| Parallel Postulate (P3-5) | If there is a line and a point not on the line, then there exists exactly one line through the point that is parallel to the given line |
| Converse of the Alternate Exterior Angles Theorem (T3-5) | If 2 lines in a plane are cut by a transversal so that a pair of alternate exterior angles is congruent, then the two lines are parallel |
| Converse of the Consecutive Interior Angles Theorem (T3-6) | If 2 lines in a plane are cut by a transversal so that a pair of consecutive interior angles is supplementary, then the lines are parallel |
| Converse of the Anternate Interior Angles Theorem (T3-7) | If 2 lines in a plane are cut by a transversal so that a pair of alternate interior angles is congruent, then the lines are parallel |
| Converse of the Perpendicular Transversal Theorem (T3-8) | In a plane if 2 lines are perpendicular to the same line, then they are parallel |
| Transitive Property of Parallel Lines Theorem (T3-9) | If 2 lines are parallel to the same line then they are parallel to each other |
