Parallel Lines Cut by a Transversal (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 intersects two or more lines at different points.

Front

What are corresponding angles?

Back

Corresponding angles are pairs of angles that are in similar positions relative to the two lines cut by a transversal. 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 the two lines and on opposite sides of the 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 the two lines and on opposite sides of the 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 the two lines on the same side of the transversal. They are supplementary when the lines are parallel.

Front

How do you solve for x in angle relationships?

Back

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

Front

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

Back

The corresponding angles are equal.

Front

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

Back

The alternate interior angles are equal.

Front

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

Back

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