JK XY LJ LJ ZX KL KL YZ LJ KL YX KJ. Final Exam Review Modules 10 16, 18 19
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1 Geometry Final Exam Review Modules 10 16, Use the following information for 1 3. The figure is symmetric about the x axis. Name: 6. In this figure ~. Which statement is not true? A JK XY LJ ZX C LJ ZX KL YZ 1. Classify the triangle as right, scalene, isosceles or equilateral. Justify your answer. B KL YZ LJ ZX D KL YX KJ YZ 2. What is the area of the figure? 7. What sequence of transformations maps ~. 3. What is the perimeter of the figure? 4. What is the scale factor of dilation? 8. In the figure, ~. What is AB? 9. What is the distance across the river? 5. A figure has vertex A(3, 6). The figure is dilated by a scale factor of 4. The resulting image is dilated by a scale factor of. What are the coordinates of the final image?
2 10. Rectangles ABCD and EFGH are similar. Rectangle ABCD has a length of 6 feet and a perimeter of 20 feet. Rectangle EFGH has a length of 18 feet. What is the perimeter of EFGH? 17. What is BC? Use triangle XYZ for Use the following for In the circle,. 11. What is sinx? 12. What is cosx? 13. What is tany? 18. What is? 14. What is the measure of X? 19. What is? 20. In the circle, 98. What is? 15. If BC = 4, what is AC? 16. What is XZ? 21. In the circle, and intersect at point P. What is PR?
3 Use the circle with center P for A right circular cone has a slant length of 9 inches and a radius of 4 inches. What is the surface area of the cone? 30. What is the surface area of a sphere with a radius of 12 inches? 22. Find the arc length of. 23. What is the area of the sector formed by? 31. A square pyramid with a base area of 16 square feet and a cube with a side length of 4 feet have equal volumes. What is the height of the pyramid? 24. What is the volume of the prism? 32. The trash can shown below is made of a cylinder and a hemisphere. What is the volume of the trash can? 25. A rectangular prism has a length of 7 feet and a width of 5 feet. The volume of the prism is 280 cubic feet. What is the height of the prism? Use the following information for A cylindrical tank has a diameter of 12 meters and a height of 5 meters. 33. A solid wooden rectangular prism has dimensions 3 cm, 2 cm, and 5 cm. If it weighs grams, what is the density of the wood it is made out of given density= mass volume. 26. What is the volume of the tank? 34. A cylinder has a volume of 150 m 3 and a radius of 10 m. What is the height of the cylinder? 27. What is the surface area of the tank? 28. What is the volume of the cone? 35. The diagonals of a parallelogram are represented y the lines 2 3 and 2 4. What is true about the quadrilateral?
4 36. Quadrilateral PQRS is shown. Classify the figure. Use the following information for Triangle ABC has vertices A(6,4), B(8,0), and C( 2, 12). Dilate using a scale factor of ¼ about the origin. Then dilate its image using a scale factor of 3 about the origin. 40. Determine the coordinates of the final image. 41. Determine the scale factor you could use to dilate about the origin that would result in the final image in one step. 37. KLMN is a parallelogram. What is the missing x coordinate of L? 42. What is the length of? Use the following information for The figure is symmetrical about the x axis. 43. Use the tangent ratio to determine. Use triangle ABC for Find the perimeter of the figure. 44. What is AC? 39. What is the area of the figure. 45. What is AB?
5 Use triangle XYZ for A local park is located on a triangular piece of land. The dimensions are shown. What is the area of the park? 46. If XZ = 12, what is YZ? 54. The sides of a triangle measure 12 inches, 17 inches, and 24 inches. What is the area of the triangle? 47. If XY = 5, what is XZ? 48. What are the missing side lengths in? 55. A triangle has two sides measuring 4 inches and 12 inches. The angle opposite the third side measures 75. What is the length of the third side of the triangle? Use triangle FGH for One of the base angles of an isosceles triangle measures 50. The base of the triangle measures 15 meters. What is the perimeter of the triangle? 50. What is FG? Use the following information for In the figure,, and. 51. Write two different ratios that can be used to find the measure of angle G. 57. What is the measure of? 52. What is? 58. What is?
6 Use the circle for Use the circle for What is? 65. If PQ = 3, QT = 9, and PR = 4, what is RX? 60. What is? 66. If 42 and 6, what is WU? 61. What is? 67. Find the arc length of an arc that measures 125 in a circle with a radius of 6 centimeters. 62. In the circle, 38 and 146. What is? 68. An art project uses a square piece of paper that is 6 inches wide and a circular piece of paper that is 12 inches wide. Which piece of paper has a greater area? Use the circle for The dimensions of a stained glass window is 12 inches by 8 inches. What is the area of the largest circle that can be drawn in this rectangle? 63. If 80 and 150, what is? 70. Given a right triangle ABC where is a right angle. AB = 41, BC = 9, and AC = 40, find. 64. If PR = 4 and RS = 5, what is PQ?
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