Name ______Date ______Period______
Notes 6-1: Properties and Attributes of Polygons
Objectives: 1. Classify polygons based on their sides and angles. 2. Find and use the measures of interior and exterior angles of polygons.
# of Sides Polygon The parts of a polygon are named on the quadrilateral below. 3 diagonal 4
side 5 vertex 6 7 You can name a polygon by the number 8 of its sides. A ______polygon has all sides congruent 9 and all angles congruent. A polygon is ______10 if all its diagonals lie in the interior of the polygon. A polygon is ______if all or part of at least one 12 diagonal lies outside the polygon. n
Types of Polygons
regular, convex irregular, convex irregular, concave
Tell whether each figure is a polygon. If it is a polygon, name it by the number of sides.
1. 2. 3.
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Tell whether each polygon is regular or irregular. Then tell whether it is concave or convex.
4. 5. 6.
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The ______states that the sum of the interior angle
measures of a convex polygon with n sides is ______.
Convex Number of Sum of Interior Angle
Polygon Sides Measures: (n 2)180
quadrilateral 4
If a polygon is a regular polygon, then you can ______the sum of the interior angle
measures by the number of ______to find the measure of each interior angle.
Regular Number of Sum of Interior Measure of Each Polygon Sides Angle Measures Interior Angle
quadrilateral 4
hexagon 6
decagon 10
The ______states that the sum of the exterior angle measures, one angle at each vertex, of a convex polygon is 360. The measure of each exterior angle of a regular polygon with n exterior angles is 360 n. So the measure of each exterior angle of a regular decagon is 360 10 36.
Find the sum of the interior angle measures of each convex polygon.
7.pentagon 8. octagon 9. nonagon
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Find the measure of each interior angle of each regular polygon. Round to the nearest tenth if necessary.
10. pentagon 11. heptagon 12. 15-gon
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Find the measure of each exterior angle of each regular polygon.
13. quadrilateral 14. octagon
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