Understanding Polygon Properties and Classification
Explore the fundamental concepts of polygons, such as vertices, sides, angles, and classifications like convex and concave polygons. Learn about the interior and exterior angles of polygons, the sum of angle measures, and the properties of regular polygons. Discover how to identify, classify, and calculate angles within polygons.
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A Polygon is a closed plane figure with at least three sides. The sides intersect only at their endpoints, and no adjacent sides are collinear. A. B. C.
Identify the vertices Identify the sides Identify the angle To name a polygon, start with any vertex and list the vertices consecutively.
COPY the blue table from page 144 into your notebooks.
A convex polygon has no diagonal with points outside the polygon.
A concave polygon has at least one diagonal with points outside the polygon.
Classify each polygon by its sides. Identify each as either convex or concave.
The sum of the measures of the angles of an n-gon is: Sum = (n-2)180 n = number of sides PROOF - Triangle
A. B. The sum of a decagon
The sum of the measures of the exterior angles of a polygon, one at each vertex, is 360.
Equilateral Polygon all sides congruent. Equiangular Polygon all angles congruent Regular Polygon both equilateral and equiangular.
Find the measure of an interior angle and an exterior angle of each REGULAR polygon.
