Parallel Lines and Angles

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet. They are always the same distance apart and have the same slope.

Front

What is a transversal?

Back

A transversal is a line that crosses at least two other lines. When it intersects parallel lines, it creates several angles.

Front

What are corresponding angles?

Back

Corresponding angles are pairs of angles that are in similar positions at each intersection where a transversal crosses two lines.

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.

Front

What are vertical angles?

Back

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

Front

If m∠1 = 40°, what is m∠3 if ∠1 and ∠3 are corresponding angles?

Back

m∠3 = 40° (Corresponding angles are equal when a transversal crosses parallel lines.)

Front

If m∠6 = 50°, what is m∠4 if ∠4 and ∠6 are alternate interior angles?

Back

m∠4 = 50° (Alternate interior angles are equal when a transversal crosses parallel lines.)

Front

If m∠n = 113°, what is m∠s if ∠n and ∠s are corresponding angles?

Back

m∠s = 113° (Corresponding angles are equal.)

Front

If m∠2 = 70°, what is m∠5 if ∠2 and ∠5 are alternate exterior angles?

Back

m∠5 = 70° (Alternate exterior angles are equal.)

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°.