L1 What is a polygon? - Part 1
Completion requirements
Unit A: Geometry
Chapter 1: Polygons
What is a polygon?
A polygon is any shape that is closed and straight-sided. No requirement is given for length, but the number of sides must be three or more. This broad definition allows for many shapes and sizes to be classified as polygons. This makes shapes as different as a star or octagon polygons, but does not include circles, any other shapes with curved edges, or shapes that contain lines segments that cross each other.polygon: a closed, straight-sided shape
Polygons can be classified as convex or concave. Convex polygons have no vertices (points) pointing inward; however, concave polygons have vertices pointing inward. In Math 30-3, you will consider only convex polygons.
convex polygon: a closed, straight-sided shape without vertices pointing inward
concave polygon: a closed, straight-sided shape with at least one vertex pointing inward.
In addition, convex polygons can be classified as regular polygons or irregular polygons. If all sides and all angles are equal, the polygon is regular. An irregular polygon has unequal sides or angles, or a combination of unequal sides and angles.
regular polygon: a polygon with all sides and angles equal
irregular polygon: a polygon with unequal sides, angles, or both
convex polygon: a closed, straight-sided shape without vertices pointing inward
concave polygon: a closed, straight-sided shape with at least one vertex pointing inward.
In addition, convex polygons can be classified as regular polygons or irregular polygons. If all sides and all angles are equal, the polygon is regular. An irregular polygon has unequal sides or angles, or a combination of unequal sides and angles.
regular polygon: a polygon with all sides and angles equal
irregular polygon: a polygon with unequal sides, angles, or both