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Find the relationship between the number of sides of a polygon and its internal angles.
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Definition - "Polygon" is a Greek word meaning "many sides." The regular polygon is a convex plane shape (fills a flat surface) which has all of its sides the same length, and all its internal angles the same size. There are an infinite number of these. We will investigate some of the properties of these shapes below. Activity A: In this activity we will find the relationship between the number of sides of a polygon and its internal angles. To do this you should use the first four regular polygons to complete the table below. After you have completed the pentagon and hexagon rows you should try to find a pattern. Then complete the last row for a polygon of n sides. * In the second column write the number of sides in each polygon. * In the third column write the number of non-overlapping internal triangles which can be drawn...
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