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3-4 The Polygon Angle-Sum Theorem

3-4 The Polygon Angle-Sum Theorem - The Polygon Angle-Sum...

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Unformatted text preview: The Polygon Angle-Sum Theorem Theorem Section 3-4 Defn. of Polygon Defn. A polygon is a closed plane figure with at least three sides that are segments. The sides intersect only at their endpoints, and no adjacent sides are collinear. sides convex polygon – a polygon that convex has no diagonal with points outside the polygon outside concave polygon - a polygon that concave has at least one diagonal point with points outside the polygon with convex concave regular polygon – a convex polygon with all sides congruent and all angles congruent congruent 3 sides: triangle sides 4 sides: quadrilateral 5 sides: pentagon 6 sides hexagon 8 sides: octagon 9 sides: nonagon 10 sides: decagon 12 sides: dodecagon n sides: n-gon Interior Polygon Angle Sum Thm.(3-9) Thm.(3-9) If a convex polygon has n sides and S is the sum of the measures of its interior angle, then S = 180(n-2). angle, Polygon Exterior Angle Sum Thm. (3-10) Thm. If a polygon is convex, then the sum of the measures of the exterior angles, one at each vertex, is 360. each Joke Time Joke Why do lumberjacks make good musicians? good because of their natural loga-rithms What do you do if you are outside during a thunderstorm? thunderstorm? co-incide co-incide ...
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