11.3 Polygons Polygon: Closed figure formed by 3 or more straight line segments and the sides do not overlap.

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Presentation transcript:

11.3 Polygons

Polygon: Closed figure formed by 3 or more straight line segments and the sides do not overlap.

Polygons are classified by # of sides PolygonSide Triangle3 Quadrilateral4 pentagon5 hexagon6 heptagon7 octagon8 nonagon9 decagon10

Interior Angles of a Polygon The sum of degrees of the interior angles can be found by using (n-2)180 N= how many sides of the polygon

Find the sum of the measures of the interior angles of a 13-gon

To Find One Interior Angle of a Regular Polygon

A soccer ball contains 12 regular pentagons and 20 regular hexagons. What is the measure of one interior angle of a pentagon ?

Tessellation A repetitive pattern of polygons that fit together with no overlaps of holes. The sum of the measures of the angles where the vertices meet in a tessellation is 360 degrees.

To determine if a tessellation can be created using a regular polygon Find the angle degree of one interior angle Divide the angle degree of one interior angle by 360. If it divides evenly by 360 then it can be a tessellation if it does not divide evenly then it can not.

Determine if a tessellation can be created using a regular octagon.

Homework Page 516 (2-22) even