Parallel Lines Cut By A Transversal

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet; they 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 is the Alternate Interior Angles Theorem?

Back

The Alternate Interior Angles Theorem states that if two parallel lines are cut by a transversal, then each pair of alternate interior angles is equal.

Front

What are corresponding angles?

Back

Corresponding angles are angles that are in the same position at each intersection where a transversal crosses two lines.

Front

What is the Corresponding Angles Postulate?

Back

The Corresponding Angles Postulate states that if two parallel lines are cut by a transversal, then each pair of corresponding angles is equal.

Front

What is the relationship between consecutive interior angles?

Back

Consecutive interior angles are supplementary, meaning they add up to 180 degrees when two parallel lines are cut by a transversal.

Front

How do you find the measure of an angle when given its supplementary angle?

Back

To find the measure of an angle when given its supplementary angle, subtract the measure of the known angle from 180 degrees.

Front

What is the sum of the angles formed when a transversal crosses two parallel lines?

Back

The sum of the angles formed when a transversal crosses two parallel lines is 360 degrees.

Front

If ∠ABD is 67°, what is the measure of ∠DBC if they are supplementary?

Back

∠DBC = 180° - ∠ABD = 180° - 67° = 113°.

Front

What is the relationship between alternate exterior angles?

Back

Alternate exterior angles are equal when two parallel lines are cut by a transversal.