Parallel Lines Cut by a Transversal (With Algebra)

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet or intersect, no matter how far they are extended. They are always the same distance apart.

Front

What is a transversal?

Back

A transversal is a line that crosses at least two other lines. When a transversal 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. If the lines are parallel, corresponding angles 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. If the lines are parallel, these angles are equal.

Front

What are alternate exterior angles?

Back

Alternate exterior angles are pairs of angles that lie outside two lines and on opposite sides of a transversal. If the lines are parallel, these angles are equal.

Front

What are consecutive interior angles?

Back

Consecutive interior angles are pairs of angles that lie between two lines on the same side of a transversal. If the lines are parallel, these angles are supplementary (add up to 180°).

Front

How do you solve for x when given corresponding angles?

Back

Set the corresponding angles equal to each other and solve for x. For example, if angle A = 3x + 10 and angle B = 50, then set 3x + 10 = 50 and solve for x.

Front

How do you find the measure of an angle when given alternate interior angles?

Back

If two lines are parallel and a transversal intersects them, the alternate interior angles are equal. Use this property to find the unknown angle.

Front

What is the relationship between consecutive interior angles?

Back

If two parallel lines are cut by a transversal, the consecutive interior angles are supplementary, meaning their measures add up to 180°.

Front

If angle 1 = 110°, what is the measure of its corresponding angle?

Back

The measure of the corresponding angle is also 110° because corresponding angles are equal when lines are parallel.