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.
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.
Pick's theorem can't use for non-convex polygons. It needs at least 3 terms to define an area of a polygon.
A polygon is convex if it has no two points that can be used to define a line segment that falls outside of that polygon. Another way to put it is: a convex polygon has all vertices pointing 'out'. Consider the following 6-sided polygon: _ ' | |_ |__| Well you get the idea. The 'notch' cut out of the square turns the square into a six sided figure now, with the 'corner' in the upper right pointing 'in' so the polygon is not convex.
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.
A polygon is convex if you can take any two points inside the polygon and connect them with a line segment that is completely contained by the polygon. A non-convex polygon is one which contains at least two points such that the line joining them does not lie entirely inside the polygon.
Yes, the angle sums will be the same regardless of whether or not it is a 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.
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.
A non convex polygon would have an exterior angle less than 90 degrees making it look concave at that vertex.
I believe the fewest number of sides in a planar, non-convex polygon is four.
In a non-convex (or concave) polygon, at least one interior angle is a reflex angle. An alternative definition is that if you take any two points inside a conves polygon, the line joining them is wholly inside the polygon.
These terms describe polygons. To identify a polygon as convex, we draw a segment from any vertex to any other vertex. This segment cannot go outside of the polygon. Non-convex is concave. If we draw a segment from a vertex to any other vertex, at least one of the segments will go outside of the polygon.
A convex polygon.I suspect that what you mean is a convex polygon.
is this a polygon? is it concaver or convex