Understanding Concave Polygons | Definition, Properties, and Examples

Concave polygon

A concave polygon is a polygon that has at least one interior angle greater than 180 degrees

A concave polygon is a polygon that has at least one interior angle greater than 180 degrees. In other words, it is a polygon that “caves in” or has a portion that is pushed into the interior of the shape.

To visualize a concave polygon, imagine a shape with at least one indentation or a “dip” in one of its sides. This causes the interior angles at that point to be larger than 180 degrees.

It is important to distinguish a concave polygon from a convex polygon. A convex polygon has all interior angles less than 180 degrees, meaning it does not have any indentations or “dips” in its sides.

In a concave polygon, you can identify each concave angle by comparing each interior angle of the polygon to 180 degrees. If any angle is larger than 180 degrees, it is considered a concave angle. These concave angles are typically located at the vertices where the polygon is bent inward.

Example: Let’s take the shape of a star as an example. A five-pointed star can be considered as a concave polygon because the interior angles at each of the points are greater than 180 degrees.

More Answers:
An Exploration of Shapes in Mathematics | Understanding the Properties and Applications
Exploring Math | Unveiling the Wonders of Shapes in Geometry, Algebra, and Measurement
Mastering Mathematics | A Comprehensive Guide to Solving Shape-related Problems

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