Parallel Lines Cut by a Transversal with Algebra Expressions

Front

What are parallel lines?

Back

Lines in a plane that never meet and are always the same distance apart.

Front

What is a transversal?

Back

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

Front

What are corresponding angles?

Back

Angles that are in the same position on two parallel lines cut by a transversal.

Front

What are alternate interior angles?

Back

Angles that are on opposite sides of the transversal and inside the two lines.

Front

What are consecutive interior angles?

Back

Angles that are on the same side of the transversal and inside the two lines.

Front

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

Back

Corresponding angles are equal.

Front

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

Back

Alternate interior angles are equal.

Front

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

Back

Consecutive interior angles are supplementary (add up to 180 degrees).

Front

How do you set up an equation to find x when given angle measures?

Back

Set the expressions for the angles equal to each other or to 180 degrees, depending on the angle relationship.

Front

If angle A = 3x + 5 and angle B = 2x + 25, what is x if A and B are corresponding angles?

Back

Set 3x + 5 = 2x + 25, solve for x: x = 20.