Parallel Lines Cut by a Transversal

Front

What are parallel lines?

Back

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

Front

What is a transversal?

Back

A transversal is a line that intersects two or more lines at different points.

Front

What are alternate interior angles?

Back

Alternate interior angles are pairs of angles that are on opposite sides of the transversal and inside the two lines.

Front

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

Back

Alternate interior angles are congruent.

Front

What are corresponding angles?

Back

Corresponding angles are pairs of angles that are on the same side of the transversal and in corresponding positions.

Front

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

Back

Corresponding angles are congruent.

Front

What are consecutive interior angles?

Back

Consecutive interior angles are pairs of angles that are on the same side of the transversal and inside the two lines.

Front

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

Back

Consecutive interior angles are supplementary.

Front

If angle 1 is 135 degrees, what is the measure of angle 3 if they are corresponding angles?

Back

Angle 3 is also 135 degrees.

Front

How do you find the measure of an angle when given its relationship to another angle?

Back

Use the properties of angle relationships (congruent or supplementary) to set up an equation and solve for the unknown angle.