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Section 3 – 5 The Polygon Angle Sum Theorems 1. You will be able to classify polygons. 2. You will be able to find the sums of the measures of the interior and exterior angles of a polygon. Vocabulary and Key Concepts Polygon A closed plane figure with at least three sides that are segments. The sides intersect only at their endpoints, and no adjacent sides are collinear. DIAGONAL: A segment that connects two NON – ADJACENT vertices of a polygon. Vocabulary and Key Concepts Convex Polygon Has no diagonal with points outside the polygon. Concave Polygon Has at least one diagonal with points outside the polygon. Vocabulary and Key Concepts • Equilateral polygon Has all sides congruent • Equiangular polygon Has all angles congruent • Regular polygon A polygon with all sides and all angles congruent. Classification by Number of Sides 3 sided figure Triangle 4 sided figure Quadrilateral 5 sided figure Pentagon 6 sided figure Hexagon 7 sided figure Heptagon 8 sided figure Octagon 9 sided figure Nonagon 10 sided figure Decagon 11 sided figure ______________ 12 sided figure Dodecagon Anything higher n - gon
