Convex and Concave Polygons

From Derivative
Revision as of 11:42, 5 October 2017 by Sherryk (talk | contribs) (Created page with "In geometry, a polygon can be either '''convex''' or '''concave'''. ==Convex polygons== A '''convex polygon''' is a polygon with the following properties: * Every interna...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

In geometry, a polygon can be either convex or concave.

Convex polygons

A convex polygon is a polygon with the following properties:

  • Every internal angle is less than 180 degrees.
  • Every line segment between two vertices of the polygon does not go exterior to the polygon (i.e., it remains inside or on the boundary of the polygon).
  • If any vertical or horizontal axis intersects it at most twice.

ConvexPolys.jpg

Concave polygons

A polygon that is not convex is called concave. A concave polygon will always have an interior angle with a measure that is greater than 180 degrees.

It is possible to cut a concave polygon into a set of convex polygons.

ConcavePolys.jpg