Chapter 6 Section 6.1 Polygons.

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Presentation transcript:

Chapter 6 Section 6.1 Polygons

Examples of Polygons Identify, Name, and Describe Polygons Definition Definition Polygon A polygon is a plane figure that is formed by three or more segments called sides, such that no two sides with a common endpoint are collinear, and each side intersects exactly two other sides, one at each endpoint. Each endpoint is called a vertex of the polygon Examples of Polygons

Identify, Name, and Describe Polygons

Identify, Name, and Describe Polygons Names Names Polygon Names A polygons name depends on the number of sides it has # of Sides Name 3 4 5 6 7 # of Sides Name 8 9 10 12 N

Non-Convex/Concave: A polygon that is not convex Identify, Name, and Describe Polygons Descriptions Descriptions Describing Polygons A polygons description depends on its shape Convex: No line that contains a side of the polygon contains a point in the interior of the polygon Non-Convex/Concave: A polygon that is not convex

Identify, Name, and Describe Polygons

Identify, Name, and Describe Polygons

Identify, Name, and Describe Polygons

Identify, Name, and Describe Polygons

Sum interior angles of a quadrilateral Theorem Theorem 6.1 Interior Angles of a Quadrilateral The sum of the measures of the interior angles of a quadrilateral is 360o mH + mG + mF + mE = 360o

Sum interior angles of a quadrilateral

Sum interior angles of a quadrilateral

Sum interior angles of a quadrilateral

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