Parallel lines and Transversals

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet. They are always the same distance apart and have the same slope.

Front

What is a transversal?

Back

A transversal is a line that crosses at least two other lines. When it intersects parallel lines, it creates several angles.

Front

What are corresponding angles?

Back

Corresponding angles are pairs of angles that are in similar positions at each intersection where a transversal crosses two lines.

Front

What are alternate interior angles?

Back

Alternate interior angles are pairs of angles that lie between two lines and on opposite sides of a transversal.

Front

What are same side interior angles?

Back

Same side interior angles are pairs of angles that lie between two lines and on the same side of a transversal.

Front

What is the relationship between corresponding angles when two parallel lines are cut by a transversal?

Back

When two parallel lines are cut by a transversal, corresponding angles are equal.

Front

What is the relationship between alternate interior angles when two parallel lines are cut by a transversal?

Back

When two parallel lines are cut by a transversal, alternate interior angles are equal.

Front

What is the relationship between same side interior angles when two parallel lines are cut by a transversal?

Back

When two parallel lines are cut by a transversal, same side interior angles are supplementary (add up to 180 degrees).

Front

If two lines are parallel, what can be said about the angles formed by a transversal?

Back

The angles formed by a transversal will have specific relationships: corresponding angles are equal, alternate interior angles are equal, and same side interior angles are supplementary.

Front

How do you find the value of an angle formed by parallel lines and a transversal?

Back

Use the relationships between the angles (corresponding, alternate interior, same side interior) to set up equations and solve for the unknown angle.