Name the polygons with the following number of sides:

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Objectives Classify polygons based on their sides and angles.

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Presentation transcript:

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

Geometry Mrs. King Unit 3, Lesson 4 Polygons Geometry Mrs. King Unit 3, Lesson 4

Definition Polygon: a closed plane figure with at least three sides.

Video: Polygons in Architecture

Name the polygon. Then identify its vertices, sides, and angles. Its angles are named by the vertices, A, B, C, D, and E. Its sides are AB, BC, CD, DE, and EA. Its vertices are A, B, C, D, and E. Possible names are ABCDE and EDCBA.

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.

Find the sum of the measures of the angles of a decagon. A decagon has 10 sides, so n = 10. Sum = (n – 2)(180) = (10 – 2)(180) = 8 • 180 = 1440

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!!

Find m  X in quadrilateral XYZW. The figure has 4 sides, so n = 4.

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.