A convex polygon is one with no angle greater than 180 degrees.
A non-convex polygon is one that is not without such an angle.
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A regular pentagon is convex. By taking a regular pentagon and shortening or lengthening one or more sides, an infinite number of possible convex pentagons can be created. A convex polygon is defined as a polygon such that all internal angles are less than or equal to 180 degrees, and a line segment drawn between any two vertices remains inside the polygon. It is possible to have non-convex (concave) pentagons; there are infinite number possible ways to do this, too.
convex
Pick's theorem can't use for non-convex polygons. It needs at least 3 terms to define an area of a polygon.
congruent; congruent
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