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# VOCAB.

### Parallel and Perpendicular Lines vocabulary

TermDefinition
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