| A | B |
| Postulate 3-1 Corresponding Angles | If two parallel lines are cut by a transversal, then each pair of corresponding angles is congruent. |
| Theorem 3-1 Alternate Interior | If two parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent, |
| Theorem 3-2 Consecutive Interior Angles | If two parallel lines are cut by a transversal, then each pair of consecutive interior angles is supplementary |
| Theorem 3-3 Alternate Exterior Angle | If two parallel lines are cut by a transversal, then each pair of alternate exterior angles is congruent, |
| Theorem 3-4 Perpendicular Transversal | In a plane, if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other. |
| Postulate 3-5 Parallel Postulate | If there is a line and a point not on the line, then there exists exactly one line though the point that is parallel to the given line. |
| Postulate 3-4 Corresponding Angles (converse) | If two lines in a plane are cut by a transversal so that corresponding angles are congruent, then the lines are parallel. |
| Theorem 3-5 Alt Ext Angles (converse) | If two 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. |
| Theorem 3-6 Consecutive Angles (converse) | If two lines in a plane are cut by a transversal so that a pair of consecutive interior angles is supplementary, then the lines are parallel. |
| Theorem 3-8 Perpendicular Lines (converse) | In a plane, if two lines are perpendicular to the same line, then they are parallel. |
| Theorem 3-7 Alt Int Angles (converse) | If two lines in a plane are cut by a transversal so that a pair of alternate interior angles is congruent, then the two lines are parallel. |
| Postulate 3-2 Parallel Postulate | Two nonvertical lines have the same slope if and only if they are parallel. |
| Postulate 3-3 Perpendicular Postulate | Two nonvertical lines are perpendicular if and only if the product of their slopes is -1. |
| Theprem 2-1 Segment Congruence | Congruence of segments is reflexive, symmetric, and transitive |
| Theorem 2-2 LP Supplement Theorem | If 2 angles for a linear pair, then they are supplementary angles. |
| Theorem 2-3 Angle Congruence | Congruence of angles is reflexive, symmetric, and transitive. |
| Theorem 2-4 Supplementary Angles | Angles supplementary to the same angle or to congruent angles are congruent. |
| Theorem 2-5 Complementary Angles | Angles complementary to the same angle or to congruent angles are congruent. |