Transversal in Geometry: Definition & Angles

Transversal in Geometry: Definition & Angles
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  • 0:01 What Is a Transversal?
  • 0:23 Angles
  • 2:12 Lesson Summary
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Lesson Transcript
Instructor: Cathryn Jackson

Cat has taught a variety of subjects, including communications, mathematics, and technology. Cat has a master's degree in education and is currently working on her Ph.D.

Transversal lines are like puzzle pieces in geometry. Once you have the big picture of this puzzle, transversals can be fun problems to solve. In this lesson, we explore the many angles of transversal lines and review with a quiz.

What Is a Transversal?

A transversal is two parallel lines intersected by a third line at an angle. The third line is referred to as the transversal line. When this line happens, several angles are created. You can use these angles to find the measurements of other angles. When using transversals in geometry you can think about puzzle pieces fitting together.

Angles

The Eight Angles of a Transversal
Transversal

There are eight different angles in a transversal. They are placed into five different categories. Knowing these angles can help you solve many geometric problems.

Supplementary Angles

Supplementary angles are pairs of angles that add up to 180 degrees. If you put two supplementary angle pieces together, you can draw a straight line across the top of the two angles. In essence, the two angles together make a half circle. Supplementary angles are not limited to transversals.

Supplementary Angles
Supplementary Angles

In this example, the supplementary angles are AB, CD, EF, GH and AC, BD, EG, FH.

Interior Angles

Interior angles are angles that are on the inside of the two parallel lines. In the example, the interior angles are angles C, D, E, and F.


Interior Angles of a Transversal
Interior Angles of a Transversal


Exterior Angles

Exterior angles are angles that are on the outside of the two parallel lines. In the example, the exterior angles are angles A, B, G, and H.


Exterior Angles of a Transversal caption=


Corresponding Angles

Corresponding angles are two angles that appear on the same side of the transversal line. One of the angles must be an interior angle and the other must be an exterior angle. Corresponding angles are congruent, meaning that they are equal measurements.


Corresponding Angles of a Transversal
Corresponding Angles of a Transversal


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