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Warm Up Draw a large aerial view of a group of building into your notebook. Example:
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6.1 a
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A polygon is a closed figure formed by a finite number of coplanar segments such that: 1. the sides with a common endpoint are non-collinear. 2. each side intersects exactly two other sides, but only at their endpoints.
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Diagonals A diagonal is a line joining two non-consecutive vertices.
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ConvexConcave All vertices point outward. At least one vertex points inward.
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If a diagonal can be drawn outside of the polygon, then it is considered concave.
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Polygons are classified by the numbers of sides they have. Number of sides 3 4 5 6 7 8 9 10 11 12 n Name of Polygon Triangle Quadrilateral Pentagon Hexagon Heptagon/Septagon Octagon Nonagon Decagon Undecagon Dodecagon N-gon
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Tell whether the following are polygons. If so, name it and classify it as convex or concave.
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Regular Polygons A regular polygon is a convex polygon with all sides and angles congruent. It is considered both equilateral and equiangular. There are NO regular concave polygons.
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Tell whether the polygon is regular or irregular. Name it, then tell whether it is convex or concave.
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How to name a polygon You name a polygon by all its vertices in consecutive order.
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