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PROPERTIES OF N-SIDED REGULAR POLYGONS. When students are first exposed to regular polygons in middle school, they learn their properties by looking at individual examples such as the equilateral triangles(n=3), squares(n=4), and hexagons(n=6).
Polygons. Definitions, notes, examples, and practice test (w/solutions) Including concave/convex, exterior/interior angle sums, diagonals, n-gon names, and more...
43 Polygons – Basic (Definitions, Names of Common Polygons) 44 Polygons – More Definitions (Definitions, Diagonals of a Polygon) 45 Interior and Exterior Angles of a Polygon
1. Introduction. This document aims to guide the reader into the world of polytopes, focusing on the familiar setting of polygons, the two-dimensional polytopes. We will assume the reader is comfortable with the Cartesian plane and ordered pairs of numbers. Let's get right into it! Intuitively, polygons are certain 2-dimensional shapes.
In a regular polygon, all interior angles are equal. The formula for the interior angle of a regular polygon with n sides is: interior angle=180¡1! 2 n " #$ % &' The sum of exterior angles in any polygon is always 360°. This can be rationalised as follows. Suppose you are walking along the perimeter of a polygon.
Summary. Polygons are named according to their number of sides: triangle, quadrilateral, pentagon . . . They can also be called regular if all their sides and internal angles are equal or irregular otherwise. The sum of the internal angles of any polygon with n sides is 180(n – 2)°.
Polygons are just any closed shape with straight lines which don’t cross. Like a square or triangle. All polygons need at least three sides to form a closed path.
