1) corresponding angles are congruent, then the lines are parallel
2) alternate exterior angles are congruent, then the lines are parallel
3) alternate interior angles are congruent, then the lines are parallel
4) same side interior angles are supplementary (add up to 180), then the lines are parallel
Use the link below for more examples.
http://www.brightstorm.com/math/precalculus/equations-of-lines-parabolas-circles/converse-of-parallel-lines-theorem/
HW: Worksheet complete front side and set up equations on the back side (you may solve them if you're confident they are correct). Quiz 3.4 is tomorrow. Test will be this Friday, 11/6.