Parallel Lines Cut by a Transversal

Front

What are Vertical Angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always equal in measure.

Front

If angle P measures 50 degrees, what is the measure of angle Q if they are vertical angles?

Back

Angle Q measures 50 degrees.

Front

What are Corresponding Angles?

Back

Corresponding angles are the angles that are in the same position on two parallel lines in relation to a transversal. They are equal in measure.

Front

If angle A is 70 degrees, what is the measure of angle B if they are corresponding angles?

Back

Angle B measures 70 degrees.

Front

What are Alternate Interior Angles?

Back

Alternate interior angles are the pairs of angles that lie between two parallel lines and on opposite sides of a transversal. They are equal in measure.

Front

If angle C measures 60 degrees, what is the measure of angle D if they are alternate interior angles?

Back

Angle D measures 60 degrees.

Front

What are Alternate Exterior Angles?

Back

Alternate exterior angles are the pairs of angles that lie outside two parallel lines and on opposite sides of a transversal. They are equal in measure.

Front

If angle E measures 110 degrees, what is the measure of angle F if they are alternate exterior angles?

Back

Angle F measures 110 degrees.

Front

What are Same Side Interior Angles?

Back

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

Front

If angle G measures 75 degrees, what is the measure of angle H if they are same side interior angles?

Back

Angle H measures 105 degrees (75 + 105 = 180 degrees).