Parallel Lines & Transversals - Angle Relationships

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

What are alternate interior angles?

Back

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

Front

What are consecutive interior angles?

Back

Consecutive interior angles are pairs of angles that lie on the same side of a transversal and between two parallel lines. They are supplementary, meaning their measures add up to 180 degrees.

Front

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

Back

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

Front

How do you find the measure of an angle when given the measures of other angles formed by parallel lines and a transversal?

Back

Use the properties of angle relationships (such as vertical, alternate interior, and corresponding angles) to set up equations and solve for the unknown angle.

Front

What is the measure of angle 2 if angle 1 is 154°?

Back

Angle 2 is 26° because angles 1 and 2 are supplementary (they form a linear pair).

Front

What is the measure of angle 7 if angle 2 is 154°?

Back

Angle 7 is 26° because angles 2 and 7 are alternate interior angles and are equal.

Front

What is the sum of the measures of consecutive interior angles?

Back

The sum of the measures of consecutive interior angles is 180°.

Front

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

Back

Exterior angles are equal to their corresponding interior angles when two parallel lines are cut by a transversal.

Front

What is the definition of a transversal?

Back

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