Geometry
3.2/3.3 Notes
Name ________________________
Parallel & Perpendicular Lines and Transversals
Target Goal:
 Prove and use results about parallel lines and transversals.
Corresponding Angles Postulate
If 2 parallel lines are cut by a transversal, then corresponding angles are congruent.
Thm 3.4 Alternate Interior Angle
If 2 parallel lines are cut by a transversal, then alternate interior angles are congruent.
Thm 3.5 Consecutive Interior Angles
If 2 parallel lines are cut by a transversal, then consecutive interior angles are supp.
Thm 3.6 Alternate Exterior Angles
If 2 parallel lines are cut by a transversal, then alternate exterior angles are congruent.
Thm 3.7 Perpendicular Transversal
If a transversal is perpendicular to one of 2 parallel lines, then it is perpendicular to the
other.
Example 1 Given that m  5  60 , find each measure. Tell which postulate or
theorem was used.
a) m  4 =
Example 2
b) m  1 =
c) m  3 =
Solve for x.
a.
b.
c.
d.
d) m  8 =
Example 3
Solve for x.
a.
Example 4
b.
Solve for x and y.