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VOCAB.
Parallel and Perpendicular Lines vocabulary
| Term | Definition |
|---|---|
| parallel lines | coplanar lines that do not intersect |
| skew lines | are noncoplanar; they are not parallel and do not intersect |
| Alternate Interior Angles | nonadjacent interior angles that lie on the opposite side of the transversal |
| same side interior angles | interior angles that lie on the same side of the transversal |
| corresponding angles | lie on the same side of the transversal T and in corresponding postions |
| alternate exterior angles | nonadjacent exterior angles that lie on the opposite side of the transversal |
| Postulate 1-3 Same Side interior angles postulate | if a transversal intersects two parallel lines, then the same side interior angles are supplementary |
| Theorem 3-1 alternate interior angles theorem | if a transversal intersects two parallel lines, then the alternate interior angles are congruent |
| Theorem 3-2 corresponding angles theorem | if a transversal intersects two parallel lines, then the corresponding angles are congruent |
| alternate exterior angles theorem | if a transversal intersects two parallel lines, the alternate exterior angles are congruent |
| converse of the corresponding angles theorem | if two lines and a transversal form corresponding angles that are congruent, then the lines are parallel |
| converse of the alternate interior angles theorem | if 2 lines and a transversal form corresponding angles that are congruent, then the 2 lines are parallel |
| converse of same side interior angle | if 2 lines and a transversal form same side interior angles that are supplementary, then the 2 lines are parallel |
| Theorem 3-7 Converse of alternate exterior angles theorem | if 2 lines and a transversal form alternate exterior angles that are congruent, then the 2 lines are parallel. |
| Theorem 3-8 | if two lines are parallel to the same line, then they are parallel to each other |
| Theorem 3-9 | in a plane, if 2 lines are perpendicular to the same line, then they are parallel to each other |
| Theorem 3-10 | in a plane, if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other |
| Postulate 3-2 Parallel postulate | through a point not on a line, there is one and only one line parallel to that given line |
Created by:
baileyb
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