Geom quiz 3.smth

Parallel lines

coplanar lines that do not intersect

Skew lines

lines that do not intersect and are not coplanar.

Parallel planes

planes that do not intersect.

Transversal angle pair relationships

Four interior angles lie in the region between lines q and r.

Four exterior angles lie in the two regions that are not between lines q and r.

Consecutive interior angles are interior angles that lie on the same side of transversal t.

Alternate interior angles are nonadjacent interior angles that lie on opposite sides of transversal t.

Alternate exterior angles are nonadjacent exterior angles that lie on opposite sides of transversal t.

Corresponding angles lie on the same side• of transversal t and on the same side of lines q and r.

Corresponding Angles Postulate

If two parallel lines are cut by a transversal, then each pair of corresponding angles is congruent.

Perpendicular transversal theorem

a plane, if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other.

Parallel lines and angle pairs

Alternate Interior Angles Theorem If two parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent.

Consecutive Interior Angles Theorem If two parallel lines are cut by a transversal, then each pair of consecutive interior angles is supplementary.

Alternate Exterior Angles Theorem If two parallel lines are cut by a transversal, then each pair of alternate exterior angles is congruent.