Congruent Angles: Definition & Examples

Congruent Angles: Definition & Examples
Coming up next: How to Graph ln(x)

You're on a roll. Keep up the good work!

Take Quiz Watch Next Lesson
 Replay
Your next lesson will play in 10 seconds
  • 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
Add to Add to Add to

Want to watch this again later?

Log in or sign up to add this lesson to a Custom Course.

Log in or Sign up

Timeline
Autoplay
Autoplay
Speed

Recommended Lessons and Courses for You

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.

To unlock this lesson you must be a Study.com Member.
Create your account

Register to view this lesson

Are you a student or a teacher?

Unlock Your Education

See for yourself why 30 million people use Study.com

Become a Study.com member and start learning now.
Become a Member  Back
What teachers are saying about Study.com
Try it risk-free for 30 days

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Create an account to start this course today
Try it risk-free for 30 days!
Create An Account
Support