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. ________________________ ________________________ _________________________ Tell whether each polygon is regular or irregular. Then tell whether it is concave or convex. 4. 5. 6. ________________________ ________________________ _________________________ 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 hexagon 6 decagon 10 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 ________________________ ________________________ _________________________ 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 ________________________ ________________________ _________________________ Find the measure of each exterior angle of each regular polygon. 13. quadrilateral 14. octagon ________________________ ________________________ .