# What happens when parallel lines are cut by a transversal?

## What happens when parallel lines are cut by a transversal?

If two parallel lines are cut by a transversal, then, Alternate Interior Angles are congruent. If two parallel lines are cut by a transversal, then, Alternate Exterior Angles are congruent. If two parallel lines are cut by a transversal, then corresponding angles are congruent.

## What are the 5 angles formed by parallel lines cut by a transversal?

They are 1) corresponding angles, the angles that are on the same corner at each intersection; 2) alternate interior angles, the angles that are between the two parallel lines but on opposite sides of the transversal; 3) alternate exterior angles, the angles that are outside the parallel lines but on opposite sides of …

How do you do parallel lines in math?

If two parallel lines are cut by a transversal, the alternate exterior angles are congruent. If two lines are cut by a transversal and the alternate exterior angles are congruent, the lines are parallel.

### How do you prove lines are parallel?

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.

### How do you prove 2 lines are parallel?

If two lines are cut by a transversal so the alternate interior angles are congruent, then the lines are parallel. If two lines are cut by a transversal so the alternate exterior angles are congruent, then the lines are parallel.

What are the 5 angle relationships of parallel lines?

Parallel Lines and Transversals Postulates Corresponding Angles are congruent. Alternate Exterior Angles are congruent. Alternate Interior Angles are congruent. Same Side Interior Angles (Consecutive Interior Angles) sum to 180 degrees.

## What pairs of angles are formed when two lines are cut by a transversal line?

When two lines are cut by a transversal, the pairs of angles on either side of the transversal and inside the two lines are called the alternate interior angles . If two parallel lines are cut by a transversal, then the alternate interior angles formed are congruent .

## What are parallel lines examples?

Two or more lines that lie in the same plane and never intersect or meet each other are known as parallel lines. For example, let us assume two tall buildings in a neighborhood. They seem so tall and straight.

How do you show parallel lines?

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 is line that cuts across two or more parallel lines?

Definition: A line that cuts across two or more (usually parallel) lines. In the figure below, the line AB is a transversal. It cuts across the parallel lines PQ and RS. If it crosses the parallel lines at right angles it is called a perpendicular transversal.

### What is the angle between parallel lines?

Angles that are in the area between the parallel lines like angle 2 and 8 above are called interior angles whereas the angles that are on the outside of the two parallel lines like 1 and 6 are called exterior angles. Angles that are on the opposite sides of the transversal are called alternate angles e.g. 1 + 8.

Can transversal cut two perpendicular lines?

A transversal that cuts two parallel lines at right angles is called a perpendicular transversal . In this case, all 8 angles are right angles When the lines are parallel, a case that is often considered, a transversal produces several congruent and several supplementary angles.

## What are parallel lines and angles?

Angles in parallel lines. Parallel lines are lines which are always the same distance apart and never meet. Arrowheads show lines are parallel. When a pair of parallel lines is cut with another line known as an intersecting transversal, it creates pairs of angles with special properties. Corresponding angles are equal. The lines make an F shape.