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Polygons
A Polygon is a closed plane figure formed by 3 or more segments
Each segment intersects exactly 2 other segments only at their endpoints.
No 2 segments with a common endpoint are collinear
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Sides
• The segments that form a polygon are called its sides.
• In a polygon, no 2 segments with a common endpoint are collinear
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Vertex of a Polygon
• The vertex of a polygon is the intersection of 2 of its sides.
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EQUIANGULAR POLYGON
• An equiangular polygon is a polygon in which all angles are congruent
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Equilateral Polygon
• An equilateral polygon is a polygon in which all sides are congruent.
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REGULAR POLYGON
• If a polygon is both equiangular and equilateral, then it is called regular.
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Irregular Polygon
• If a polygon is not equiangular and equilateral, then it is an irregular polygon
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Polygons named by number of sides
11 sided polygon - hendecagon
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Diagonal of a polygon
• A diagonal of a polygon is a segment that connects 2 nonconsecutive vertices.
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Convex polygon• In a convex polygon, every diagonal lies inside
it
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Concave polygon• In a concave polygon, at least 1 diagonal can be
drawn so that part of it contains points in the exterior of the polygon
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Congruent polygons• If 2 polygons have the same size and
shape, they are congruent
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Interior and Exterior angles of polygons• At each vertex, there are 2 special angles.
• An interior angle is an angle fprmed by 2 sides of a polygon with a common vertex
• An exterior angles is an angle formed by 1 side of a polygon and the extension of an adjacent side
E
I
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Formula for sum of interior angles of a polygon
• n is the number of sides
sum of interior angles = (n-2) 180o
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Formula for interior angles measure of a regular polygon
• n is the number of sides
• Each interior angle =
n
n
2 180b g
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Formula for exterior angle measure of a regular polygon
• n is the number of sides
360
n
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Center of a regular polygon• Center is the point that is
equidistant from each of the polygon's vertices
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Central angle of a regular polygon
• Central angle has its vertex at the center of the polygon and its sides pass through consecutive vertices
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Formula for central angle measure of a regular polygon
• n is the number of sides
360
n
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