Triangle and Parallel 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 is a transversal?

Back

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

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

What are alternate interior angles?

Back

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

Front

What are alternate exterior angles?

Back

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

Front

What are remote interior angles?

Back

Remote interior angles are the two angles inside a triangle that are not adjacent to a given exterior angle.

Front

What is the Exterior Angle Theorem?

Back

The Exterior Angle Theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.

Front

How do you find the measure of an angle using the properties of parallel lines?

Back

You can use the relationships between corresponding angles, alternate interior angles, and alternate exterior angles to find the measure of unknown angles.

Front

If angle 4 is 70 degrees, what is the measure of angle 6 if lines are parallel?

Back

Angle 6 is also 70 degrees because they are corresponding angles.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.