Question

1. how do you know when to use the alternate interior angles theorem and when to use the converse of the alternate interior angles theorem. use the alt. int. angles thm. when proving lines are parallel. use the converse of the alt. int. angles thm. when proving lines are parallel. use the alt. int. angles thm. when proving alt. int. angles are congruent. use the converse of the alt. int. angles thm. when proving lines are parallel. use the alt. int. angles thm. when proving lines are parallel. use the converse of the alt. int. angles thm. when proving alt. int. angles are congruent. use the alt. int. angles thm. when proving alt. int. angles are congruent. use the converse of the alt. int. angles thm. when proving alt. int. angles are congruent.

Explanation:

The Alternate Interior Angles Theorem states that if two parallel lines are cut by a transversal, then the alternate interior angles are congruent. So, it is used to prove that alternate interior angles are congruent when we know the lines are parallel.

The Converse of the Alternate Interior Angles Theorem states that if two lines are cut by a transversal and the alternate interior angles are congruent, then the two lines are parallel. So, it is used to prove that lines are parallel when we know the alternate interior angles are congruent.

Answer:

Use the Alt. Int. Angles Thm. when proving Alt. Int. Angles are congruent. Use the Converse of the Alt. Int. Angles Thm. when proving lines are parallel.