# How do you know if a polygon is concave or convex?

## How do you know if a polygon is concave or convex?

Every polygon is either convex or concave. The difference between convex and concave polygons lies in the measures of their angles. For a polygon to be convex, all of its interior angles must be less than 180 degrees. Otherwise, the polygon is concave.

## What does it mean if a polygon is concave?

A concave polygon is a polygon that is not convex. An example of a non-simple (self-intersecting) polygon is a star polygon. A concave polygon must have at least four sides.

Can a polygon be both concave and convex?

Polygons can be either convex or concave. Think of the term concave as referring to a cave, or “caving in”. A concave polygon has a section that “points inward” toward the middle of the shape.

### What are the properties of convex polygon?

The properties of the convex polygon are as follows:

• The interior angle of a convex polygon is strictly less than 180°.
• A polygon, with at least one interior angle, is greater than 180° is called a non-convex polygon or concave polygon.
• Sum of all the interior angles of a polygon of n sides = (n – 2)180°.

### Which of the polygon is convex polygon?

A planar polygon is convex if it contains all the line segments connecting any pair of its points. Thus, for example, a regular pentagon is convex (left figure), while an indented pentagon is not (right figure). A planar polygon that is not convex is said to be a concave polygon.

Can a concave polygon be a regular polygon?

Regular Concave Polygon Also, the sum of the interior angles of a polygon is (n – 2) x 180, where n is the number of sides. So, it is not possible to have a polygon with all sides equal and an angle greater than 180 degrees. Hence, regular polygons are never concave.

#### What is convex and concave polygon class 8?

Concave and convex polygon: If each of the interior angles of a polygon is less than 180°, then it is called a convex polygon. If at least one angle of a polygon is more than 180°, then it is called a concave polygon.

#### How does the convex polygon differ from non-convex polygon?

A polygon is convex if all the interior angles are less than 180 degrees. If one or more of the interior angles is more than 180 degrees the polygon is non-convex (or concave).

Which of the following polygons is concave polygon?

Answer:Yes, a star is a concave polygon. Because concave polygon should have at least 4 sides. Step-by-step explanation: Also, one or more interior angles should be greater than 180 degrees.

## What is meant by convex polygon?

Definition of convex polygon : a polygon each of whose angles is less than a straight angle.

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