Presentation on theme: "How are polygons classified?"— Presentation transcript:
1 How are polygons classified? 6-1B Exploring PolygonsHow are polygons classified?
2 You measured one-dimensional figures. Identify and name polygons.
3 DefinitionsA polygon is a closed figure formed by a finite number of coplanar segments called sides such thatThe sides that have a common endpoint are noncollinear, andEach side intersects exactly two other sides, but only at their endpoints.
4 DefinitionA vertex of a polygon is the vertex of each angle in the polygon.A polygon is named by the letters of its vertices, written in order of consecutive vertices.
5 DefinitionA convex polygon is one in which each diagonal (except its endpoints) is in the interior (inside) of the polygon.
14 Name and Classify Polygons A. Name the polygon by its number of sides. Then classify it as convex or concave and regular or irregular.There are 4 sides, so this is a quadrilateral.No line containing any of the sides will pass through the interior of the quadrilateral, so it is convex.The sides are not congruent, so it is irregular.Answer: quadrilateral, convex, irregular
15 Name and Classify Polygons B. Name the polygon by its number of sides. Then classify it as convex or concave and regular or irregular.There are 9 sides, so this is a nonagon.Lines containing some of the sides will pass through the interior of the nonagon, so it is concave.Since the polygon is concave, it must be irregular.Answer: nonagon, concave, irregular
16 Assignment 1-6Page 61, 1-5, 11-16You should have three answers for 1-2,Name by the number of sidesConvex or concaveRegular or irregular