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. They are equal when the lines are parallel.

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 alternate exterior angles?

Back

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

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. Their measures add up to 180° when the lines are parallel.

Front

How do you find the measure of an angle formed by a transversal?

Back

To find the measure of an angle formed by a transversal, use the relationships between the angles (corresponding, alternate interior, etc.) based on the properties of parallel lines.

Front

If two parallel lines are cut by a transversal, what can be said about the angles formed?

Back

The angles formed have specific relationships: corresponding angles are equal, alternate interior angles are equal, and consecutive interior angles are supplementary (add up to 180°).

Front

Solve for x: 2x + 10 = 30

Back

x = 10

Front

Find the measure of the indicated angle if one angle is 80° and it is a corresponding angle.

Back

The measure of the indicated angle is also 80°.