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Is the sum of the interior angles of a convex polygon the same as a non-convex polygon?
No. In a convex polygon the sum of the interior angles is (n-2)*180 deg where n is the number of interior angles. In a non-convex polygon this is not necessarily true.
What is a definition for non convex polygon?
A simple polygon that is not convex is called concave, non-convex or reentrant. A concave polygon will always have an interior angle with a measure that is greater than 180 degrees.
How do you determine whether a polygon is convex or non-convex?
No interior angle of a convex polygon can exceed 180 degrees. A non-convex polygon has at least one reflex angle (> 180 degrees). Alternatively, a polygon is convex if, given any two points on or inside the polygon, the straight line joining the two points must lie wholly on or inside the polygon. In a non-convex polygon, it is possible to find a pair of points such that the straight line joining them lies outside the polygon for at least some of its length.
What is the difference between a concave polygon and a convex polygon?
Any polygon that has an angle that is > 180º is a concave polygon. A convex polygon does not. e.g. All regular polygons are convex.
What does a non convex polygon look like?
A non convex polygon would have an exterior angle less than 90 degrees making it look concave at that vertex.
