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Theorems
| Term | Definition |
|---|---|
| Same-Side Interior Angles | if two lines are parallel, the the interior angles on the same side equal 180 |
| Alternate interior angles | if a transversal intersects two parallel lines, then alternate interior angles are congruent |
| corresponding anlges | if a transversal intersects two parallel lines, then corresponding angles are congruent |
| alternate exterior angles | if a transversal intersects two parallel lines, then alternate exterior angles are congruent |
| converse of the corresponding angles | if two lines and a transversal form alternate interior angles that are congruent, then the two lines are parallel |
| converse of the alternate interior angles | if two lines and a transversal form alternate interior angles that are congruent, then the two lines are parallel |
| converse of the consecutive interior angles | if two lines and a transversal form same-side interior angles that are supplementary, then the two lines are parallel. |
| converse of the alternate exterior angles | if two lines and a transversal form alternate exterior angles that are congruent, then the two lines are parallel |
| parallel line theorem | in a plane, if two lines are parallel to the same line, then they are parallel to each other. |
| perpendicular to a third line | in a plane, if two lines are perpendicular to the same line, then they are parallel to each other. |
| perpendicular transversal | in a plane, if a line is perpendicular to one of two parallel lines, then it is also perpendicular to the other |
| parallel postulate | through a point not on a line, there is one and only one parallel to the given line. |
| triangle angle-sum | the sum of the measures of the angles of a triangle is 180 |
| triangle exterior angles | the measure of each exterior angle of a triangle equals the sum of the measures of its two remote interior angles. |