Parallel Lines and Angles

Front

What are Vertical Angles?

Back

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

Front

What is the relationship between the slopes of two parallel lines?

Back

Two parallel lines have the same slope.

Front

Identify the pair of angles that are Corresponding Angles when two parallel lines are cut by a transversal.

Back

Corresponding angles are pairs of angles that are in the same position at each intersection where a straight line crosses two others.

Front

If m∠6 = 50° then what is m∠4?

Back

m∠4 = 130° (because they are same side interior angles and add up to 180°).

Front

If Angle 1 = 27°, what is the measure of Angle 4?

Back

Angle 4 = 27° (because they are vertical angles and are equal).

Front

What are Alternate Interior Angles?

Back

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

Front

What are Same Side Interior Angles?

Back

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

Front

What is a Transversal?

Back

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

Front

What is the sum of the interior angles on the same side of a transversal when the lines are parallel?

Back

The sum of the interior angles on the same side of a transversal is 180°.

Front

Define Corresponding Angles. Give an example.

Back

Corresponding angles are angles that occupy the same relative position at each intersection of a transversal with two lines. For example, if two parallel lines are cut by a transversal, angle 1 and angle 5 are corresponding angles.