Transcript File
Warm-Up: Copy and Complete • The last day to turn in ANY late or missing work is ______________________. • All test re-takes must be taken ________________ or during PACK this week. • Define Quadrilateral Polygon classification 1. Homework: p 386 #1-15, 23-33 odd Concave Polygon Convex Polygon Classifying Polygons 2. Naming Polygons based on the number of sides: 3 sides = Triangle (This label is based on the number of angles.) 4 sides = Quadrilateral 5 sides = Pentagon 6 sides = Hexagon 7 sides = Heptagon 8 sides = Octagon 9 sides = Nonagon 10 sides = Decagon Polygons Triangle - A polygon with three sides. Polygons Quadrilateral - A polygon with four sides. Polygons Parallelogram - A quadrilateral with two pairs of parallel sides. Polygons Trapezoid - A quadrilateral which has one pair of parallel sides. Polygons Rectangle - a quadrilateral with four congruent angles (all 90°). Polygons Rhombus - A parallelogram with four congruent sides. Polygons Square - a quadrilateral with four congruent sides and four congruent angles (all 90°). Polygons Pentagon - A polygon with five sides. Polygons Hexagon - A polygon with six sides. Polygons Octagon - A polygon with eight sides. Polygons Decagon - A polygon with ten sides. Bell Work 5 minutes 3. How do you find the sum of the interior angles of an n-gon? Sum of Interior Angles 180 (n 2) Polygon Practice 3. Find the sum of the interior angles of the following polygons. Hexagon: 22-gon Hexagon 22-gon Sum of Interior 180 (n 2) Angles Sum of Interior 180 (n 2) Angles Sum of Interior 180 (6 2) Angles Sum of Interior 180 4 Angles Sum of Interior 180 ( 22 2) Angles Sum of Interior 180 20 Angles Sum of Interior 720 Angles Sum of Interior 3600 Angles Polygon practice 3. What does “sum of the interior angles” mean? The answer when I add up all of the angles on the INSIDE of a polygon. Polygon practice 4. What is a regular polygon? All of the angles are the congruent (same measure) and all of the sides are congruent (same length). Polygon practice 3. How do you find the measure of an (each/one) interior angle of a regular n-gon? Measure of One Interior angle of a Regular n-gon 180 ( n 2) n Polygon practice 3. Find the measure of each interior angle of the following polygons. Hexagon: Nonagon Hexagon Nonagon Measure of one 180 ( n 2) Interior Angle n Measure of one 180 (6 2) Interior Angle 6 Measure of one 180 4 Interior Angle Measure of one 180 ( n 2) Interior Angle n Measure of one 180 (9 2) Interior Angle 9 Measure of one 180 7 Interior Angle Measure of one Interior Angle 120 Measure of one Interior Angle 140 6 Measure of one 720 Interior Angle 6 9 Measure of one 1260 Interior Angle 9 Polygon practice 4. What is the sum of the exterior angles of any regular polygon? The sum of the measures of the exterior angles of any polygon is always . 360 Polygon practice 4. How do you find the measure of one exterior angle of a regular polygon? Measure of One Exterior angle of a Regular n-gon 360 n Polygon practice 6. Find the measure of an exterior angle of the following regular polygons. Decagon Measure of one Exterior Angle Measure of one Exterior Angle Measure of one Exterior Angle 360 n 360 10 36 Pentagon 360 n Measure of one 360 Exterior Angle 5 Measure of one Exterior Angle Measure of one Exterior Angle 72 Polygon practice 7. Find the number of sides for a regular polygon using the information given: a) The measure of each exterior angle is 30 degrees. 360 30 n 360 n 30 n n 360 n 30 10 n Polygon practice 7. Find the number of sides for a regular polygon using the information given: b) The measure of each interior angle is 135 degrees. ( n 2) 180 135 n Polygon practice 7. Find the number of sides for a regular polygon using the information given: a) The measure of each exterior angle is 30 degrees. 360 30 n 360 30 n b) The measure of each interior angle is 135 degrees. Bell Work End Quiz Practice 1) Find “x” and “y”. 2) Find each angle A little more practice • 3) Find a, b and c. a 30 c b Exit Ticket 1. Name the polygon by the number of its sides. Then tell whether the polygon is regular or irregular, concave or convex. 1. Find the sum of the interior angle measures of a convex 11-gon. 2. Find the measure of each interior angle of a regular 18-gon. 3. Find the measure of each exterior angle of a regular 15-gon