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Theorems
| Term | Definition |
|---|---|
| Theorem 6 | If two lines are parallel to the same line then they are parallel to each other. |
| Theorem 7 | If two lines in a plane are each perpendicular to a third line, then they are parallel to each other. |
| Theorem 8 | If a line is perpendicular to one of two parallel lines, then it is perpendicular to the other also. |
| Corollary of Theorem 8 | If two lines are perpendicular to intersecting lines, then the two lines will intersect. |
| Theorem 9 | If a transversal intersects two parallel lines, then the alternate interior angles are congruent. |
| Theorem 10 | If a transversal intersects two parallel lines, then the corresponding angles are congruent |
| Theorem 11 | If a transversal intersects two parallel lines, then the alternate exterior angles are congruent. |
| Theorem 12 | If a transversal intersects two parallel lines, then the interior angles on the same side of the transversal are supplementary |