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Name the polygons with the following number of sides: • • • • • • • • • 3 4 5 6 7 8 9 10 12 • • • • • • • • • Triangle Quadrilateral Pentagon Hexagon Heptagon Octagon Nonagon Decagon Dodecagon Polygons Geometry Mr. Zampetti Unit 3, Day 2 Today’s Objectives • To learn how to classify polygons • To learn how to find the sum of the measures of the interior and exterior angles of a polygon Definition Polygon: a closed plane figure with at least three sides. Video: Polygons in Architecture Without the use of your notes: Matching names with number of sides: http://www.quia.com/cm/86645.html?AP _rand=2098901149 Concentration game: http://www.quia.com/jg/1507267.html Definition Convex: a polygon is convex if no diagonal contains points outside the polygon. http://img.sparknotes.com/figures/B/b333d91dce2882b2db48b8ad670cd15a/convexconcave.gif Definition Concave: a polygon is concave if a diagonal contains points outside the polygon. http://img.sparknotes.com/figures/B/b333d91dce2882b2db48b8ad670cd15a/convexconcave.gif Theorem 2-3: Polygon Interior Angle-Sum Theorem The sum of the measures of the interior angles of an n-gon is (n - 2)180. Practice • Find the sum of the measure of the interior angle of the following polygons: – 15-gon – 20-gon – Decagon – Dodecagon (n-2) x 180 video • Cool Video!! Theorem 2-4: Polygon Exterior Angle-Sum Theorem The sum of the measures of the exterior angles of a polygon, one at each vertex, is 360. http://www.mathlove.com/new3/product/img/TTA05/5.jpg Video: General Definitions of Polygons Definition Equilateral polygon: a polygon with all sides congruent. Equiangular polygon: a polygon with all angles congruent. Regular polygon: a polygon that is both equilateral and equiangular. Homework Work Packet: Polygons