Transversal- a line that intersects two coplanar
lines at two distinct points
Alternate Interior Angles- opposite sides of the transversal
Same Side Interior Angles
Corresponding Angles
Vertical Angles
Supplementary Angles
Postulate 7-1 Corresponding Angles: If two parallel lines are cut by a transversal, than the
correspondings are congruent
Theorem 7-1 Alternate Interior:
If two parallel lines are cut by a transversal, than the alternate interior are congruent
Theorem 7-2 Same Side Interior Angles: If two parallel lines are cut by a transversal, then the
pairs of the same side interior angles are
supplementary
Section 7-2
Proving Lines Parallel
Postulate 7-2 Converse of Corresponding Angles: if two lines are cut by a transversal so that a pair of corresponding angles are congruent, then the lines are parallel
Theorem 7-3 Converse of Alternate Interior Angles: If two lines are cut by a transversal so that a pair of alternate interior angles are congruent, then the lines are parallel
Theorem 7-4 Converse of Same Side Interior Angles: If two lines are cut by a transversal so that a pair of same side interior angles are supplementary, then the lines are parallel
