Parallel Lines Cut by a Transversal (With Algebra)

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

Back

When two parallel lines are cut by a transversal, corresponding angles are equal.

Front

What are alternate interior angles?

Back

Alternate interior angles are pairs of angles that lie between the two lines and on opposite sides of the transversal.

Front

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

Back

When two parallel lines are cut by a transversal, alternate interior angles are equal.

Front

What are consecutive interior angles?

Back

Consecutive interior angles are pairs of angles that lie between the two lines and on the same side of the transversal.

Front

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

Back

When two parallel lines are cut by a transversal, consecutive interior angles are supplementary (they add up to 180°).

Front

How do you solve for x in an equation involving angles?

Back

To solve for x, set up an equation based on the relationships between the angles (e.g., corresponding, alternate interior) and solve for x.

Front

If angle A is 135°, what is the measure of its corresponding angle?

Back

The measure of the corresponding angle is also 135°.