Transversals

Front

What is a transversal in geometry?

Back

A transversal is a line that intersects two or more other lines at distinct points.

Front

Name the angle pairs formed when a transversal intersects two parallel lines.

Back

Corresponding angles, alternate interior angles, alternate exterior angles, and consecutive interior angles.

Front

What are corresponding angles?

Back

Corresponding angles are pairs of angles that are in the same position at each intersection where a transversal crosses two lines.

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.

Front

What are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always 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

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

Back

Consecutive interior angles are supplementary, meaning they add up to 180 degrees.

Front

How can you find the value of x in angle relationships?

Back

Set up an equation based on the relationships between the angles and solve for x.

Front

What is the sum of the angles formed by a transversal intersecting two parallel lines?

Back

The sum of the angles on the same side of the transversal is 180 degrees.

Front

What is the definition of supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180 degrees.