REVIEW—Polygons This is the worksheet we were doing during the basketball tournaments. YES or NO: Is each of these shapes a polygon?
1. YES 2. NO (curved) 3. YES
4. YES 5. NO (not closed) 6. NO (curved)
7. YES or NO: Is the polygon at right
YES______a. equilateral
NO______b. equiangular
NO______c. regular
8. YES or NO: Is the polygon at right
YES______a. equilateral
YES______b. equiangular
YES______c. regular
9. YES or NO: Is the polygon at right
YES______a. equilateral
NO______b. equiangular
NO______c. regular
10. YES or NO: Is the polygon at right
NO______a. equilateral
YES______b. equiangular
NO______c. regular 11.
(푛 − 2)180
______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
______20. A regular 60-gon
______21. A regular quadrilateral
______22. A regular dodecagon
______23. A regular triangle
______24. A regular triangle (same problem as #23)
Find the missing angles.
______25. ______27.
______26. ______28.
Find the measure of an exterior angle of each of these regular polygons.
______29. Regular hexagon
______30. Regular hectogon (100-gon)
______31. Regular pentagon
______32. Regular icosagon (20-gon)
______33. Regular quadrilateral
______34. Regular octagon
______35. Regular 182-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
G______39. C______40. D______41. F______42.
A______43. B______44. E______45. H______46.
Use the shape at right for these questions.
퐴퐵̅̅̅̅______and 퐷퐶̅̅̅̅ ______47. Name the two bases.
퐴퐷̅̅̅̅______and 퐵퐶̅̅̅̅______48. Name the two legs.
Use the shape at right for these questions.
∠푀______and ∠푃______49. Name the two vertex angles.
ABCD is a parallelogram.
35______50. Find x. (180 – 145)
145______51. Find y. (same as the 145 given)
35______52. Find z. (180 – 145)
22______53. Find x in the picture at right.
16______54. Find y in the picture at right.
PQRS is a rhombus.
90______55. What is 푚∠푃푂푄? (diagonals are ⊥)
34______56. If 푃푂 = 17, what is 푃푅? (17 + 17)
70______57. If 푚∠푃푆푅 = 140, what is 푚∠푃푆푄? (140 ÷ 2)
114______58. Find x in the picture at right. (same)
______59. Find y (the measure of an angle) in the picture at right.
TRAP is an isosceles trapezoid.
5______60. If 푇퐷 = 5, what is 퐷푅?
12______61. If 푃푅 = 12, what is 푇퐴?
110______62. If 푚∠푃퐴푅 = 70, what is 푚∠푅푇푃? (180 – 70) YES or NO: Is the information shown sufficient to prove these quadrilaterals are parallelograms?
YES______63. NO______66. (2 pairs of opposite sides are ≅) (It could be a trapezoid.)
YES______64. YES______67. (Diagonals bisect each other) (2 pairs of opposite angles ≅)
YES______65. NO______68. (Opposite sides both ≅ and parallel) (It could be a kite.)