Geometry Final Exam Review
Chapter 7
1. Find m
2. Solve the following proportion.
3. Find the similarity ratio and write a similarity statement.
4.Why are the two triangles similar and what is the similarity statement.
5.Explain why the triangles are similar and write a similarity statement.
6. Find RN
7. Find DA and DC
8. Complete the following proportion
9. The scale model of a race car is of the ratio 1ft : 5 ft. What is are the dimensions of the model car if the race car has length 12 ft and a width of 5 ft?
10. The ratio of the angle measures in a triangle 5:12:19. What is the measure of the largest angle?
11.Show the segments stated below are parallel. HINT: Use a proportion.
Chapter 5.7, 5.8 and Chapter 8
12. Use the Pythagorean Theorem to find the value of x.
Leave your answer in simplest radical form.
13. Find the value of x. Leave your answer in the simplest radical form.
14. Find the value of x. Leave your answer in the simplest radical form. x
15. Find the value of x. Leave your answer in the simplest radical form.
16. Find the value of x and y. Leave your answer in the simplest radical form.
17. If = 9 and = 6, find the value of . Leave your answer in simplest radical form
18. Find the cos C.
19. Use special right triangles to find the following values:
a)sin b) tan c) cos
20. Find the value of . Round to the nearest hundredth.
21. Find the measure of . Round to the nearest degree.
22. Find the measure of using the Law of Sines. Round to the nearest tenth.
23. Find the using the Law of Sines. Round to the nearest degree.
24. Find the measure of using the Law of Cosines. Round to the nearest tenth.
25. Find the sum of the vector: and
26. Write vector in component form.
27. Identify pairs of equal and parallel vectors.
Chapter 9:1-3, 6 and Chapter 10:4-8
28. What is the area of the triangle?
29. A parallelogram has an 22 inch base. If the parallelogram has an area of 264 square inches, what is the height of the parallelogram.
30. What is the area of a rhombus if one diagonal is 12 centimeters and the other diagonal is 18 centimeters?
31. What is the area of the trapezoid?
32.
33. The area of a square is 49 square inches. What is the perimeter of the square?
34. What is the circumference of in terms of π.
35. What is the area of in terms of π.
36. What is the area of the figure?
37. What is the area of the regular hexagon, round answer to the nearest tenth.
38. If the radius of a circle is multiplied by 2, which is true?
A. The circumference is doubled.
B. The area is doubled.
39. Which statement accurately describes the result of doubling the height of a rectangle?
A. The perimeter is doubledB. The area is multiplied by 8
C. The area is doubledD. The perimeter is tripled.
40. What is the lateral area of the rectangular prism?
41. What is the surface area of the cylinder?
42. What is the surface area of the regular pyramid?
43. What is the surface area of the right cone?
44. What is the volume of the right prism?
45. What is the volume of the right cylinder?
46. What is the volume of the pyramid?
47. What is the volume of the cone?
48. What is the effect on the volume of a cone if the radius is mulitplied by 3?
A. The volume is multiplied by 3.B. The volume is multiplied by 6.
C. The volume is multiplied by 27. D. The volume is multipled by 9.
49. What is the volume of the sphere?
50. What is the surface area of the sphere?
51. What is the effect on the surface area of a sphere if the radius is divided by 2?
A. The surface area is divided by 2.B. The surface area is divided by 4.
C. The surface area is divided by 8. D. The surface area is divided by 16.
Chapter 11
52.In the following figure, which best represents a chord of the circle?
53.In the following figure, which best represents a line tangent to the circle?
54.The segments are tangent to the circle. Find the length of ST
55.Find QT if is tangent to the circle.Find ST.
56. Find the following:
57.
58. Find EF
59.Find the area of sector ABC
60.Find the arc length of arc AB.
61.Find the inscribed angles
62.Find
63.Find x and y
64.Find x
65.Find x
Chapter 12
#66-69: Identify the transformation.
66. 67.
68. 69.
70. What is the image of the point A(1,-2) after the described glide reflection.
Translation:
Reflection: in the x axis
71.
73. Which of the following transformations below represents a dilation?
A. B. C.
74. A sign painter creates a rectangular sign for Mom’s Diner on his computer desktop. The desktop version is 12 inches by 4 inches. For the actual sign the capital M in “Mom’s” will be 180 inches tall, find the height of the M on his desktop version.
S & E
75. To find the height of a tree, a student measured the tree’s shadow and her own shadow. If the student’s height is 5 ft 8 in., what is the height of the tree?
#76-78: Find the exact value of the expression below
76. 77. 78.
79. A vector that has a direction of N W is located in which quadrant?
80. Find the x and y- components of the vector shown to the right if the magnitude is 15.
81. Write the formula for the area of the composite figure below.
82. Find the surface area of the composite figure below.
83. Find the value of x.
- Identify the cross sectionsin the figures below. All shapes are regular.
85. The figure nets below make what 3D shape?