REVIEW—Polygons This is the worksheet we were doing during the basketball tournaments. YES or NO: Is each of these shapes a polygon?
7. YES or NO: Is the polygon at right
______a. equilateral
______b. equiangular
______c. regular
8. YES or NO: Is the polygon at right
______a. equilateral
______b. equiangular
______c. regular
9. YES or NO: Is the polygon at right
______a. equilateral
______b. equiangular
______c. regular
10. YES or NO: Is the polygon at right
______a. equilateral
______b. equiangular
______c. regular 11.
______12. What is the sum of the angles in a nonagon?
______13. What is the sum of the angles in a 22-gon?
______14. What is the sum of the angles in a hexagon?
______15. What is the sum of the angles in a 53-gon?
Find the measure of one interior angle of each of these regular polygons.
______16. ______17. ______18.
______19. A regular 15-gon ______22. A regular dodecagon
______20. A regular 60-gon ______23. A regular triangle
______21. A regular quadrilateral ______24. A regular triangle
Find the missing angles.
______25. ______27.
______26. ______28.
Find the measure of an exterior angle of each of these regular polygons.
______29. Regular hexagon ______33. Regular quadrilateral
______30. Regular hectogon (100-gon) ______34. Regular octagon
______31. Regular pentagon ______35. Regular 182-gon
______32. Regular icosagon (20-gon)
Regular polygons are shown in the pictures below. Find the values of the angles shown.
36. 37. 38. x = ______n = ______a = ______y = ______b = ______
Match the pictures below to the most specific name for each shape. A. Parallelogram E. Rhombus B. Trapezoid F. Kite C. Isosceles Trapezoid G. Rectangle D. Square H. Quadrilateral
______39. ______40. ______41. ______42.
______43. ______44. ______45. ______46.
Use the shape at right for these questions.
______and ______47. Name the two bases.
______and ______48. Name the two legs.
Use the shape at right for these questions.
______and ______49. Name the two vertex angles.
ABCD is a parallelogram.
______50. Find x.
______51. Find y.
______52. Find z.
______53. Find x in the picture at right.
______54. Find y in the picture at right.
PQRS is a rhombus.
______55. What is 푚∠푃푂푄?
______56. If 푃푂 = 17, what is 푃푅?
______57. If 푚∠푃푆푅 = 140, what is 푚∠푃푆푄?
______58. Find x in the picture at right.
______59. Find y (the measure of an angle) in the picture at right.
TRAP is an isosceles trapezoid.
______60. If 푇퐷 = 5, what is 퐷푅?
______61. If 푃푅 = 12, what is 푇퐴?
______62. If 푚∠푃퐴푅 = 70, what is 푚∠푅푇푃?
YES or NO: Is the information shown sufficient to prove these quadrilaterals are parallelograms?
______63. ______66.
______64. ______67.
______65. ______68.