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What Are Congruent Figures? - Definition & Examples

What Are Congruent Figures? - Definition & Examples
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  • 0:02 Congruent Figures
  • 0:37 Examples
  • 1:50 Lesson Summary
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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.

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