Heptagon: Definition, Shapes & Examples

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  • 0:01 A World of Shapes
  • 0:25 Heptagons
  • 0:55 Irregular Heptagons
  • 1:45 Lesson Summary
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Lesson Transcript
Instructor: Joseph Vigil
In this lesson, you'll review the definition of polygons, and you'll learn what makes heptagons unique. You'll also distinguish between regular and irregular heptagons.

A World of Shapes

In general, a lot of things are called shapes. We have circles, triangles, squares, rectangles…this could go on and on. But only certain shapes are polygons. Polygons are enclosed two-dimensional shapes with straight sides. This definition leaves out circles and ovals because their one side is curved, but that still leaves room for lots of shapes to be polygons.

Heptagons

A heptagon is a seven-sided polygon. It also has seven vertices, or corners where sides meet, and seven angles. The angles are always found at the vertices.

The regular heptagon is probably the most recognizable one:

It's called a regular heptagon because all sides and angles are congruent. Congruent means they are equal in size and shape.

In this illustration, the vertices are circled. All the angles at these vertices are equal.

Irregular Heptagons

Not all heptagons are regular, however. As previously stated, a heptagon is simply a seven-sided polygon. So heptagons can take on various forms, as long as they're enclosed and have seven sides.

Here's an irregular heptagon, or a heptagon whose sides and angles are not congruent:

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