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.

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Presentation transcript:

Name the polygons with the following number of sides: 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: _rand= _rand= Concentration game:

Definition Convex: a polygon is convex if no diagonal contains points outside the polygon.

Definition Concave: a polygon is concave if a diagonal contains points outside the polygon.

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

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