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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.

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Presentation on theme: " 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."— Presentation transcript:

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2  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.

3  Identify the vertices  Identify the sides  Identify the angle  To name a polygon, start with any vertex and list the vertices consecutively.

4  COPY the blue table from page 144 into your notebooks.

5  A convex polygon has no diagonal with points outside the polygon.

6  A concave polygon has at least one diagonal with points outside the polygon.

7  Classify each polygon by its sides. Identify each as either convex or concave.

8  The sum of the measures of the angles of an n-gon is:  Sum = (n-2)180 n = number of sides PROOF - Triangle

9  A.  B. The sum of a decagon

10  Find m<A in pentagon ABCDE

11  The sum of the measures of the exterior angles of a polygon, one at each vertex, is 360.

12  Equilateral Polygon – all sides congruent.  Equiangular Polygon – all angles congruent  Regular Polygon – both equilateral and equiangular.

13  Find the measure of an interior angle and an exterior angle of each REGULAR polygon.


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