Convex Polygon Definition Math

The term polygon originates from a greek word poly meaning many and gon meaning angles the most common examples of polygons are the triangle the rectangle and the square.

Convex polygon definition math. A convex polygon is the opposite of a concave polygon. More precisely no internal angle can be more than 180. A convex polygon has no angles pointing inwards. The measures of the interior angles in a convex polygon are strictly less than 180 degrees.

Note that a triangle 3 gon can never be concave. Convex polygons are the exact inverse of concave polygons the vertices of a convex polygon always point outwards. In a convex polygon of n sides the formula for the sum of interior angles is as follows. Concave has a cave in it convex.

An isosceles trapezoid is a. It s convex if any line drawn through it intersects only two other lines. In mathematics a polygon is a closed two dimensional figure made up of line segments but not curves. A convex polygon is a polygon where the line joining every two points of it lies completely inside it.

A convex polygon is defined as a polygon with all its interior angles less than 180. Convex or concave polygons a polygon is either convex or concave. If any vertex points inward to towards the interior of the polygon it is a concave polygon. A concave polygon is any polygon with an angle measuring more than 180 concave polygons look like they are collapsed or have one or more angles dented in.

Some examples of convex polygons are as follows. Think of it as a bulging polygon. This means that all the vertices of the polygon will point outwards away from the interior of the shape. A polygon each of whose angles is less than a straight angle.

A convex polygon is any polygon that is not concave. An irregular polygon is any polygon that is not regular. New in this session. Definition of convex polygon.

If any line drawn through the polygon can hit more than two other lines then it s concave. A concave polygon is defined as a polygon with one or more interior anglesgreater than 180. A polygon which has straight sides is convex when there are no dents or indentations in it no internal angle is greater than 180 the opposite idea is called concave. A convex polygon is a polygon where all the interior angles are less than 180 circ.