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High School Geometry: Homework Help Resource13 chapters | 142 lessons

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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.

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.

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** 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.

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

**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.

**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.

**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.

In the example, the corresponding angles are BF, DH, CG, and AE.

**Alternating angles** are two angles that appear on alternate sides of the transversal line. The angles are either both interior or both exterior. Alternating angles are congruent, meaning that they are equal measurements, or are angled at the same degree.

In the example, the alternating angles are angles CF, ED, AH, and BG.

**Transversals** are lines that intersect two parallel lines at an angle. Transversals contain eight separate angles that are categorized into five different categories: supplementary, interior, exterior, corresponding, and alternating. **Supplementary angles** add up to 180 degrees, **interior angles** appear inside the parallel lines, **exterior angles** appear outside the parallel lines, **corresponding angles** are on the same side of the transversal and are interior and exterior angles, and **alternate angles** are either both interior or both exterior and appear on alternate sides of the transversal. Finally, corresponding and alternating angles are congruent, meaning that they have the same measurement.

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High School Geometry: Homework Help Resource13 chapters | 142 lessons

- Area of Triangles and Rectangles 5:43
- Perimeter of Triangles and Rectangles 8:54
- How to Identify Similar Triangles 7:23
- Angles and Triangles: Practice Problems 7:43
- Triangles: Definition and Properties 4:30
- Classifying Triangles by Angles and Sides 5:44
- Interior and Exterior Angles of Triangles: Definition & Examples 5:25
- Constructing the Median of a Triangle 4:47
- Median, Altitude, and Angle Bisectors of a Triangle 4:50
- Constructing Triangles: Types of Geometric Construction 5:59
- Properties of Concurrent Lines in a Triangle 6:17
- Perfect Numbers: Definition, Formula & Examples 6:15
- Pyramid in Math: Definition & Practice Problems 5:31
- Supplementary Angle: Definition & Theorem 4:29
- Transversal in Geometry: Definition & Angles 3:06
- What is a Right Angle? - Definition & Formula 3:19
- What is a Straight Angle? - Definition & Example 3:08
- What is an Obtuse Angle? - Definition & Examples 2:35
- What Is an Obtuse Triangle? - Definition & Area Formula 4:38
- Go to Properties of Triangles: Homework Help

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