Polygons Vocab Flashcards
A closed figure in a plane formed by connecting line segments,endpoint to endpoint
Polygon
It’s a polygon in which NO diagonal contain points in the exterior of a polygon
Convex
It’s a polygon in which diagonals contain points on the exterior of the polygon
Concave
Polygons are classified by the
Number of sides (n)
What are the three types of polygons ?
Equilateral
Equiangular
Regular
Equilateral means
All sides are equal
Equiangular means
All angles are equal
Regular means
All sides and angles are equal
Diagonals of a polygon are
Line segments that connect to non consegative vertices
What is the formula for the number or diagonals in a polygon
n(n-3)/2
Formulary for the number of triangles in a polygon
(n-2)
Polygon Angle Sum Theorem
The sum of the interior angle measure of a convex polygon with n sides is :
(n-2)180
Polygon Interior Angles Corollary
The measure of EACH interior angle of a regular n-gon is :
(n-2)180/2
Polygon Exterior Angle Theorem
The sum of the measure of the exterior angles, one from each vertex of a regular polygon is :
360
Polygon Exterior Angles Corollary
The measure of each exterior angle of a regular n-gon is :
360/n