Proving that Lines are Parallel

Question 1

How can you prove that two lines with a Transversal going through them are parallel?

Answer 1

The Alternate Interior and Exterior Angles will have the same measurements. (Converse Alternate Angles Theorem).

Question 2

What is the Converse Same-Side Interior Angles Theorem?

Answer 2

If all pairs of same-side interior angles equal 180 degrees, then the lines with the transversal are parallel.

Question 3

What is the Converse of the Corresponding Angles Postulate?

Answer 3

If two coplanar lines are cut by a transversal so that a pair of corresponding angles are congruent, then the tow lines are parallel.