| 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 Angle | 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 Euclidean Parallel Postulate | In a plane, if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other. |
| Theorem 3-5 transversal alt int angles | 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., |
| Theorem 3-5 transversal alt int angles | 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., |
| Theorem 3-6 | 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 | In a plane, if two lines are perpendicular to the same line, then they are parallel., |
| Theorem 3-7 | to be added |
| Postulate 3-2 | Two nonvertical lines have the same slope if and only if they are parallel., |
| Postulate 3-3 | Two nonvertical lines are perpendicular if and only if the product of their slopes is -1., |
| Postulate 3-4 | If two lines in a plane are cut by a transversal so that corresponding angles are congruent, then the lines are parallel., |
