Polygons »A polygon is a simple, closed figure formed by three or more straight lines. »Examples: »Non-Examples: »Polygons are named by the number of sides they have. 3 Sides… Triangle 4 Sides… Quadrilateral 5 Sides… Pentagon 6 Sides… Hexagon 7 Sides… Heptagon 8 Sides… Octagon 9 Sides… Nonagon 10 Sides… Decagon n Sides… n-gon Ex: 21-gon »A polygon that has all sides and angles congruent is called a regular polygon. »Classify each polygon and state whether it is regular. If it is not a polygon, explain why. 1. A quadrilateral is a closed figure with four sides and four angles. 1. The quadrilateral 6. family tree: 2. 3. 4. 5. 2. A parallelogram is a quadrilateral with two pair of parallel sides. 3. A rectangle is a quadrilateral with four right angles. 4. A rhombus is a quadrilateral with 4 congruent sides. 5. A square is a quadrilateral with 4 right angles and 4 congruent sides. 6. A trapezoid is a quadrilateral with 1 pair of parallel sides. 1 2 3 4 •The sum of the angles in any quadrilateral is always 360°. • 1 + 2 + 3 + 4 = 360° Find the missing angles. 45° 55° 118° 100° x° 80° 50° y° »This formula can be used to find the angle sum of any polygon: A = 180(n − 2) Angle Number Sum of Sides A = 180(n − 2) Divide by A = 180(4 − 2) n to find A = 180(2) each angle. A = 360° 4 = 90° »Find the measure of each interior angle in a regular octagon. »Perimeter is the distance around any polygon. »What is the perimeter of this regular pentagon? 2.4 m 5 × 2.4 = 12 m »A repetitive pattern of polygons that fit together with no overlaps or holes is called a tessellation. BW: [10-6] Review »Find the measure of each interior angle, round to the nearest tenth if necessary. Regular dodecagon (12 sides) Regular undecagon (11 sides) 34