How do you prove lines are parallel theorem?

If two parallel lines are cut by a transversal, then corresponding angles are congruent. If two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel.

What are the 5 ways to prove that lines are parallel?

Ways to Prove Two Lines Parallel

• Show that corresponding angles are equal.
• Show that alternative interior angles are equal.
• Show that consecutive interior angles are supplementary.
• Show that consecutive exterior angles are supplementary.
• In a plane, show that the lines are perpendicular to the same line.

Which can be used to prove the lines are parallel?

The first is if the corresponding angles, the angles that are on the same corner at each intersection, are equal, then the lines are parallel. The second is if the alternate interior angles, the angles that are on opposite sides of the transversal and inside the parallel lines, are equal, then the lines are parallel.

What are the seven ways to prove lines are parallel?

Terms in this set (7)

• Show corresponding angles are congruent.
• Show alternate interior angles are congruent.
• Show alternate exterior angles are congruent.
• Show same side interior angles are supplementary.
• Show same side exterior angles are supplementary.
• Parallel to same line.
• Perpendicular to same line.

What are the four angles formed between the two parallel lines?

When you have two parallel lines cut by a transversal, you get four acute angles and four obtuse angles (except when you get eight right angles). All the acute angles are congruent, all the obtuse angles are congruent, and each acute angle is supplementary to each obtuse angle.

What do parallel lines imply?

Parallel Lines: Definition: We say that two lines (on the same plane) are parallel to each other if they never intersect each other, ragardless of how far they are extended on either side. Pictorially, parallel lines run along each other like the tracks of a train. Lines AB and CD are parallel to each other.

How can you tell if two lines are parallel?

We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect.

What condition would always make the two lines parallel?

Step-by-step explanation: First, if a transversal intersects two lines so that corresponding angles are congruent, then the lines are parallel. Second, if a transversal intersects two lines so that interior angles on the same side of the transversal are supplementary, then the lines are parallel.

How do you prove two lines are parallel on a graph?

What is the parallel lines theorem?

If two corresponding angles are congruent, then the two lines cut by the transversal must be parallel. Similarly, if two alternate interior or alternate exterior angles are congruent, the lines are parallel.

What happens when a transversal crosses parallel lines?

When two or more lines are cut by a transversal, the angles which occupy the same relative position are called corresponding angles . When the lines are parallel, the corresponding angles are congruent . If two parallel lines are cut by a transversal, then the alternate interior angles formed are congruent .

How to prove that two lines are parallel?

Proving Lines are Parallel. Students learn the converse of the parallel line postulate. If two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel. If two lines are cut by a transversal and alternate interior angles are congruent, then the lines are parallel.

How to pass edgenuity and E2020 quizzes?

Created by students for students, Edge-Answers is a sharing tool we use to help each other to pass the Edgenuity and E2020 quizzes and tests. We have regular contributes and new answers are being added all the time.

What happens if two parallel lines are cut by a transversal?

If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary. What is the consecutive interior angles converse? If two lines are cut by a transversal such that the consecutive interior angles are supplementary then the lines are parallel.

Where are all the parallel lines in the world?

Other parallel lines are all around you: 1 Street markings 2 Crosswalks 3 Bookshelves 4 Notebook paper