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Polygons---Terms

This guide explores the concept of polygons, which are enclosed figures with at least three sides. Key features of polygons include that sides only intersect at endpoints, and no adjacent sides are collinear. The document also covers essential terminology such as vertices, sides, and angles. It distinguishes between convex and concave polygons based on side extensions and introduces the concepts of regular, equiangular, and equilateral polygons. Additionally, it classifies polygons based on their number of sides, providing names for various polygons from triangles to dodecagons.

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Polygons---Terms

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  1. Polygons---Terms Geometry (Holt 6-1) K. Santos

  2. 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)

  3. Examples on Non-polygons

  4. Parts of a Polygon Angles A B <A, <B, <C, <D, <E, <F Vertices (1—Vertex)--corners A, B, C, D, E, F F C Sides (segments) ,, , , , Specific Name: (must list clockwise or counterclockwise) ABCDEF E D DEFABC EDCBAF

  5. Diagonals A segment that connects two nonconsecutive vertices. A B Diagonals: F C E D

  6. 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

  7. Equiangular/Equilateral/Regular Equiangular—all equal/congruent angles Equilateral—all equal/congruent sides Regular polygon—both equiangular and equilateral

  8. Regular vs irregular polygon Regular Polygons Irregular Polygons

  9. Classifying polygon based on number of Sides Number of Sides Name of polygon 3 triangle 4 quadrilateral 5 pentagon 6 hexagon 7 septagon/heptagon 8 octagon 9 nonagon 10 decagon 11 undecagon 12 dodecagon 13 13-gon n n-gon

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