Question

Proving lines parallel quiz

Answer 1

To prove that two lines are parallel, we usually use one of the following methods:

1. If the alternate interior angles are congruent: If the lines have a transversal intersecting them, and the alternate interior angles are congruent, then the lines are parallel.

2. If the corresponding angles are congruent: If the lines have a transversal intersecting them, and the corresponding angles are congruent, then the lines are parallel.

3. If the slopes of the lines are equal: If the slopes of two lines are equal, then the lines are parallel.

4. If one pair of corresponding angles is congruent and one pair of consecutive interior angles is supplementary: If we have a transversal intersecting two lines, and one pair of corresponding angles is congruent and another pair of consecutive interior angles is supplementary, then the lines are parallel.

These are some common methods used to prove lines parallel. However, the specific method used may vary depending on the scenario and the given information.