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Chapter 6: Polygons and Quadrilaterals

Chapter 6: Polygons and Quadrilaterals. Polygon terms we know:. Polygons. Descriptors or parts. Quadrilateral. Pentagon. Concave. Trapezoid. Convex. Hexagon. Kite. Octogon. Rectangle. Vertex. Side. Square. Diagonal. Regular Polygon. The Polygon Angle-Sum Theorems. Objective:

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Chapter 6: Polygons and Quadrilaterals

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  1. Chapter 6:Polygons and Quadrilaterals

  2. Polygon terms we know: Polygons Descriptors or parts Quadrilateral Pentagon Concave Trapezoid Convex Hexagon Kite Octogon Rectangle Vertex Side Square Diagonal Regular Polygon

  3. The Polygon Angle-Sum Theorems Objective: To find the sum of the measures of the interior angles of a polygon To find the sum of the measures of the exterior angles of a polygon

  4. The sum of the measures of the n interior angles of an n-gon is ______________. Polygon Sum Theorem 1800 (n – 2) Example: Rectangle – 4 interior angles 4 right angles 4 (900) = 3600 nth term: 1800 (n – 2) The sum of the measures of a quadrilateral is 3600 n = 4 1800 (4 -2)= 3600

  5. Three Types of Polygons

  6. a + b + c = 1800 x + y + z = 1800 x a Triangle Sum Conjecture y (a + b + c) + (x + y + z) = 3600 b Addition Property of equality Sum of the measures of the interior angles of a quadrilateral equals 3600 c z

  7. p. 356: 7, 9, 11, 15, 17, 19, 21, 23, 25, 29, 31

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