Congruent Angles: Definition & Examples

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  • 0:00 What Are Congruent Angles
  • 0:20 Examples of Congruent Angles
  • 0:53 Important Vocabulary &…
  • 1:44 Drawing Congruent Angles
  • 3:27 Lesson Summary
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Lesson Transcript
Instructor: Kimberly Osborn
In this lesson, we'll explore the definition of a congruent angle. You'll learn how to draw a congruent angle, explore examples of congruent angles, and test your knowledge with a short quiz.

What Are Congruent Angles?

Congruent angles are two or more angles that have the same measure. In simple words, they have the same number of degrees. It's important to note that the length of the angles' edges or the direction of the angles has no effect on their congruency. As long as their measure is equal, the angles are considered congruent.

Examples of Congruent Angles

While angle G and angle S are not facing the same direction, we can see that they have the same measure of 42 degrees, and therefore, they are congruent.

Example #1

While angle R and angle Q have edges with different lengths, we can see that they have the same measure of 155 degrees, and therefore, they are congruent.

Example #2

These examples remind us that regardless of the length of the angles' edges or the direction the angles are facing, as long as the angles have the same measure, they are considered congruent.

Important Vocabulary & Notation

Before we begin drawing congruent angles, there are a few key vocabulary terms and notations that you need to know in addition to the definition for congruent, which simply means the same angle measurement. Also, note that the symbol for 'congruent' looks like this:

Congruent Symbol

You also need to understand the meaning of vertex, the point where the two lines meet to create an angle; and compass, a tool with a point and a pencil that is used to create arcs and circles.

You can name an angle by assigning a letter to its vertex. For example, an angle with a vertex labeled D, would be named angle D. This can also be written like this:

Angle D

It is also important to know the notation for two congruent angles. This combines all of the symbols mentioned in this section:

Angle D is congruent to Angle F

In words, we are saying that angle D is congruent to angle F.

Drawing Congruent Angles

Say you need to re-create an angle you see in your textbook. There is actually a nifty little trick you can use to get the perfect angle every time. All you need is a straight edge and a compass.

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