concave polygon
A concave polygon is a polygon with at least one angle that is greater than 180 degrees
A concave polygon is a polygon with at least one angle that is greater than 180 degrees. In other words, if you were to draw a straight line from one vertex of the polygon to another vertex, the line would pass through the interior of the polygon.
To understand the concept better, let’s take an example. Imagine a four-sided polygon (a quadrilateral) where one of the angles is greater than 180 degrees. This would result in the polygon having a “dented” or “concave” shape, with an inward-facing angle.
Conversely, a convex polygon is a polygon where all angles are less than 180 degrees. A convex polygon does not have any inward-facing angles and lacks any dents in its shape.
In summary, while a convex polygon is always “bulging” outward, a concave polygon contains at least one angle that bulges inward. It is important to distinguish between the two as the properties of concave and convex polygons can differ, especially when considering concepts like interior angles, diagonal properties, and internal/external relationships.
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