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September 14, 2011 1.6 Classify Polygons September 14, 2011 So, what is a polygon? September 14, 2011 polygon a closed figure with three or more sides, where each side intersects exactly two sides, one at each endpoint, so that no two sides with a common endpoint are collinear September 14, 2011 September 14, 2011 How would you define convex? How would you define concave? September 14, 2011 convex · a polygon such that no line containing a side of the polygon contains a point in the interior of the polygon. · a polygon such that no side extended cuts any other side or vertex; it can be cut by a straight line in at most two points · a polygon in which each interior angle is less than or equal to 180°. concave a polygon that is not convex (aka. nonconvex) September 14, 2011 more vocab n-gon a polygon with n number of sides, we call a 14-sided polygon a 14-gon equilateral polygon all sides of the polygon are congruent equiangular polygon all of the interior angles of the polygon are congruent regular polygon a convex polygon that is both equilateral and equiangular Classifying Figures Activity September 14, 2011 Translating Symbols Classify the Shapes http://www.classzone.com/cz/books/geometry_2007 _na/resources/applications/animations/6_1.html September 14, 2011 homework: p44: 3-15 all, 24-30 all, 33-36 all, 38-40 all