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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 a non convex shape with three sides?
I believe the fewest number of sides in a planar, non-convex polygon is four.
What the difference between convex and non convex polygons?
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.
Differentiate convex and non convex polygon?
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.
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 the difference between convex polygon and non convex polygon?
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.
Is the sum of interior angles of a convex polygon the same as a non convex polygon?
Yes, the angle sums will be the same regardless of whether or not it is a convex polygon.
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 a non convex shape with three sides?
I believe the fewest number of sides in a planar, non-convex polygon is four.
What the difference between convex and non convex polygons?
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.
What is non-convex and convex?
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.
Differentiate convex polygon from non convex 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.
Can a polygon be equilateral and equiangular but not convex?
No. A non-convex polygon must have at least one reflex angle (between 180 and 360 degrees). But by equiangularity, all the angles of the polygon would have to be reflex. On a plane surface this is not possible.
What are non convex polygons?
A non-convex polygon is any polygon with at least one interior angle measuring at least 180 degrees. . A polygon is defined as an area enclosed by 3 or more line segments connected at their endpoints. Basically, the figure needs to be completely closed in, have no extra lines or part of lines coming out of it, and no curves. For a polygon to be convex all of its interior angles need to measure less than 180 degrees. =D
