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Polygons---Terms Geometry (Holt 6-1) K. Santos Polygon Polygon—enclosed figure --has at least 3 sides (segments) --sides only intersect at their endpoints --no adjacent sides are collinear --poly (many) gon (sides) Examples on Non-polygons Parts of a Polygon Angles A <A, <B, <C, <D, <E, <F Vertices (1—Vertex)--corners A, B, C, D, E, F Sides (segments) 𝐴𝐵, 𝐵𝐶, 𝐶𝐷, 𝐷𝐸, 𝐸𝐹, 𝐹𝐴 B F Specific Name: (must list clockwise or counterclockwise) ABCDEF DEFABC EDCBAF C E D Diagonals A segment that connects two nonconsecutive vertices. A Diagonals: 𝐴𝐶 𝐵𝐷 𝐶𝐸 𝐴𝐷 𝐵𝐸 𝐶𝐹 𝐴𝐸 𝐵𝐹 𝐷𝐹 B F C E D Convex vs Concave Extend the sides of the polygon to figure out if a figure is convex or concave. If all the extensions stay outside of the polygon then it is convex. If any of the extensions go into the polygon then it is concave. concave Equiangular/Equilateral/Regular Equiangular—all equal/congruent angles Equilateral—all equal/congruent sides Regular polygon—both equiangular and equilateral Regular vs irregular polygon Regular Polygons Irregular Polygons Classifying polygon based on number of Sides Number of Sides 3 4 5 6 7 8 9 10 11 12 13 n Name of polygon triangle quadrilateral pentagon hexagon septagon/heptagon octagon nonagon decagon undecagon dodecagon 13-gon n-gon