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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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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: 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
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
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