2. 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

3. Polygon classification Concave PolygonConvex Polygon 1. Homework: p 386 #1-15, 23-33 odd

4. Classifying Polygons 2. Naming Polygons based on the number of sides: 3 sides = 4 sides = 5 sides = 6 sides = 7 sides = 8 sides = 9 sides = 10 sides = Triangle ( This label is based on the number of angles.) Quadrilateral Pentagon Hexagon Heptagon Octagon Nonagon Decagon

5. Polygons Triangle - A polygon with three sides.polygonsides

6. Polygons Quadrilateral - A polygon with four sides.polygonsides

7. Polygons Parallelogram - A quadrilateral with two pairs of parallel sides.quadrilateral parallelsides

8. Polygons Trapezoid - A quadrilateral which has one pair of parallel sides.quadrilateral

9. Polygons Rectangle - a quadrilateral with four congruent angles (all 90°).quadrilateralcongruent angles

10. Polygons Rhombus - A parallelogram with four congruent sides.parallelogramcongruent sides

11. Polygons Square - a quadrilateral with four congruent sides and four congruent angles (all 90°).quadrilateralcongruentangles

12. Polygons Pentagon - A polygon with five sides.polygonsides

13. Polygons Hexagon - A polygon with six sides.polygonsides

14. Polygons Octagon - A polygon with eight sides.polygonsides

15. Polygons Decagon - A polygon with ten sides.polygonsides

16. Bell Work 5 minutes

17. 3. How do you find the sum of the interior angles of an n-gon? Sum of Interior Angles

18. Polygon Practice 3. Find the sum of the interior angles of the following polygons. Hexagon:22-gon Sum of Interior Angles Hexagon Sum of Interior Angles 22-gon Sum of Interior Angles

19. 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.

20. 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).

21. 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

22. Polygon practice 3. Find the measure of each interior angle of the following polygons. Hexagon:Nonagon Measure of one Interior Angle Hexagon Measure of one Interior Angle Nonagon

23. 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

24. 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

25. Polygon practice 6. Find the measure of an exterior angle of the following regular polygons. Measure of one Exterior Angle Decagon Measure of one Exterior Angle Pentagon Measure of one Exterior Angle

26. 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.

27. 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.

28. 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. b)The measure of each interior angle is 135 degrees.

29. Bell Work End

30. Quiz Practice 1) Find “x” and “y”.2) Find each angle

31. A little more practice 3) Find a, b and c. 30 a b c

33. 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