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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 regular polygon and a concave polygon?

A regular polygon has all its sides equal and all its angles equal. One consequence is that no angle can be reflex (between 180 and 360 degrees). A concave polygon, on the other hand, must have at least one angle that is a reflex angle. The line joining any two points inside any convex polygon (and that includes regular ones) must lie wholly within the polygon. In a concave polygon, it must be possible to find two point inside the polygon such that the line joining them crosses the boundaries of the polygon.


What polygon is a circle?

A polygon is a plane area bounded by straight lines. A circle consists of a curved line, not a straight line. Therefore a circle is not a polygon and conversely, no polygon can be a circle.


Which one of these is not a polygon a hexagon square triangle or line?

A line is not a polygon. A polygon is a closed figure with straight sides, while a line is a straight path with no endpoints.


What are the sides of a polygon?

They are the straight lines which form the boundaries of a polygon.

Related Questions

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.


Closed plane figures formed by joining 3 or more straight lines and angles?

Polygon


What is an edge in math?

An edge is a straight line as part of a polygon. It can also be the straight line joining two faces of a solid which has polygonal faces.


What is the difference between a regular polygon and a concave polygon?

A regular polygon has all its sides equal and all its angles equal. One consequence is that no angle can be reflex (between 180 and 360 degrees). A concave polygon, on the other hand, must have at least one angle that is a reflex angle. The line joining any two points inside any convex polygon (and that includes regular ones) must lie wholly within the polygon. In a concave polygon, it must be possible to find two point inside the polygon such that the line joining them crosses the boundaries of the polygon.


When does a triangle exist?

A triangle is a 3 sided closed shaped polygon


What is the definition of diagonal in math?

A diagonal is a straight line joining any two non-adjacent vertices in a polygon or polyhedron or corresponding shapes in higher dimensional spaces.


Angle formed in a regular polygon by the segments joining the center of the polygon with consecutive vertices?

an Apothem


What is a closed figure with straight lines?

A polygon!a polygon


How do you make a polygon?

A polygon is a closed plane figure consisting of straight lines. So a square is a polygon, a pentagon is a polygon. Just draw any closed figure with straight lines and you have a polygon.


What is the definition for sides of a polygon?

The sides of a polygon are straight line boundaries of the polygon.


What polygon is a circle?

A polygon is a plane area bounded by straight lines. A circle consists of a curved line, not a straight line. Therefore a circle is not a polygon and conversely, no polygon can be a circle.


Which one of these is not a polygon a hexagon square triangle or line?

A line is not a polygon. A polygon is a closed figure with straight sides, while a line is a straight path with no endpoints.