What Are Congruent Figures? - Definition & Examples

What Are Congruent Figures? - Definition & Examples
Coming up next: Area of Triangles and Rectangles

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

Take Quiz Watch Next Lesson
Your next lesson will play in 10 seconds
  • 0:02 Congruent Figures
  • 0:37 Examples
  • 1:50 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


Recommended Lessons and Courses for You

Lesson Transcript
Instructor: Joseph Vigil
In this lesson, you'll learn what congruent figures are. You'll also see a few examples of congruent and non-congruent figures. Then, test your knowledge with a brief quiz.

Congruent Figures

You've found the poster that's just the right size for your bedroom wall - not too narrow, not too wide. In fact, you like it so much you think you want one the same exact size for your living room. A math person might say you're looking for a poster that's congruent to the one you already have.

If two figures are congruent, then they're exactly the same shape, and they're exactly the same size. They may appear different because one is shifted or rotated a certain way, but they're still the same shape, and all the sides of one are the same length as the corresponding sides of the other.

Examples of Congruency

Congruency is what two figures have if they're congruent. These shapes obviously show congruency because they're exactly the same:

Same shape, same size. They are congruent!
Two Circles of Same Shape and Same Size

But what about these shapes?

Two Triangles, Same Size, Different Orientations

One triangle points up, while the other points down. However, if you were to measure them, you'd discover that the corresponding sides of both triangles are exactly the same. In fact, the second triangle is the same as the first; it's just been rotated. So, these shapes are congruent.

It's important to remember that the directions shapes face don't affect their congruency. As long as they're the exact same shape and have the exact same measurements, they're congruent.

Let's look at squares now:

One Large Square, One Small Square

These are both squares, but one is much smaller than the other. Although they're the same shape, these two figures aren't the same size. Therefore, these squares are incongruent, or not congruent.

To unlock this lesson you must be a 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

Become a member and start learning now.
Become a Member  Back
What teachers are saying about
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? 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