Lines, segments, rays, or points which lie in the same plane are said to be
coplanar
Parallel lines are
lines that lie in the same plane (coplanar) and that never intersect
A transversal is
a line that intersects two or more lines in different points
Postulate 6: If two parallel lines are cut by a transversal, then
their alternate interior angles are congruent (equal)
Theorem 9: If two parallel lines are cut (crossed) by a transversal, then
their corresponding angles are congruent (equal)
Theorem 10: If the two angles in a linear pair have equal measures (are congruent), then
each is a right angle
Theorem 11: If two parallel lines are cut (crossed) by a transversal, then
their alternate exterior angles are congruent (equal)
Theorem 12: If two parallel lines are cut (crossed) by a transversal, then
interior angles on the same side of the transversal are supplementary
Postulate 7: If two lines form congruent alternate interior angles with a transversal, then
the lines are parallel
Theorem 13: If two lines form congruent corresponding angles with a transversal, then
the lines are parallel
Theorem 14: If two lines form congruent alternate exterior angles with a transversal, then
the lines are parallel
Theorem 15: If two lines form supplementary interior angles on the same side of a transversal, then
the lines are parallel