# hon geo final review

Document Sample

```					Honors Geometry Final REVIEW

1. Find the lateral area of a cone if the height is 17 centimeters and the slant height is 19 centimeters. Use
3.14 for . Round to the nearest tenth if necessary.

2. There are 84 boys in a freshman class of 146 students. Find the ratio of boys to girls.

Identify the similar triangles. Find x.

3.

,,,

Find x. Assume that any segment that appears to be tangent is tangent.

5.

6.

7. Lynn is standing at horizontal ground level with the base of the Sears Tower in Chicago. The angle
formed by the ground and the line segment from her position to the top of the building is 15.7°. The
height of the Sears Tower is 1450 feet. Find her distance from the Sears Tower to the nearest foot.

8. Find x. Assume that segments that appear tangent are tangent.

Find the area of the shaded region. Round answers to the nearest tenth. Assume all inscribed polygons
are regular.

9.

10. Find the area of a circle having a circumference of . Round to the nearest tenth. Use 3.14 for pi.

Each pair of polygons is similar. Write a similarity statement, and find x, the measures of the indicated
sides, and the scale factor.

11. CB and AB

Find the perimeter of the given triangle.

12.   if

13.   if perimeter of

14. A baseball player made six hits in nine innings. What is the ratio of hits to innings?
Find the lateral area of each prism. Round to the nearest tenth if necessary.

15.

16. The dimension labeled 11 is the height of the prism.

17. Baseballs and softballs come in different sizes for different types of leagues. If the diameter of a baseball
is 3 inches and a softball has a diameter of 3.8 inches, find the difference between the volumes of the two
balls. Use 3.14 for . Round to the nearest tenth.

18. A bird watcher spied a woodpecker. The bird watcher is 40 yards lower than the woodpecker. The
distance from the bird watcher to the woodpecker is 175 yards. What is the angle of elevation?

19. Find x and y.

Find the measure of the numbered angle.

20.

21.

22.

23.

Use the diagram to find the measure of the given angle.

24.

Find the volume of the pyramid. Round to the nearest tenth if necessary.

25.

26. Find x. Assume that segments that appear tangent are tangent.

Find x and the measures of the indicated parts.

27.
BD and CE

28. BC and AC

29. In , and m arc . Find .
30. Find the length of if and is a midsegment of .

31. In , and AE = 45.

Find m.

Find the volume of the cylinder. Use 3.14 for . Round to the nearest tenth.

32.

33. In , given the lengths of the sides, find the measure of the stated angle to the nearest degree.
,,;

Find the area of the figure. Round to the nearest tenth if necessary.

34.

35.

36.

37.

38.

39. Find x, y, and z.

40. Luna created a trash can in the shape of a triangular prism. The sides of the triangle are 1.6 feet, 2.3 feet,
and 1.2 feet. Find the measures of the angles of the triangle to the nearest tenth.

41. Find x and y.

42. Each side of the square base of a regular pyramid is 9.9 centimeters. The sides rise at an angle of 55°.
Find the lateral area of the pyramid. Round to the nearest tenth.

43. Use the number line below to determine the ratio of BC to GK.

44. In , TS = 15, UQ = US. Find m.

45.
If = 7x + 5, = 10x, find .

Find x. Round to the nearest tenth if necessary. Assume that segments that appear to be tangent are
tangent.

46.
Solve each proportion.

47.

48. Find the magnitude and direction of for the given coordinates. Round to the nearest tenth.

Find the surface area of the regular pyramid. Round to the nearest tenth if necessary.

49.

50.

Use the diagram to find the measure of the given angle.

51.

52. A space shuttle is one kilometer above sea level when it begins to climb at a constant angle of 3° for the
next 80 ground kilometers. About how far above sea level is the space shuttle after its climb?

Find the volume of the prism. Round to the nearest tenth if necessary.

53.

54. Quadrilateral ABCD is inscribed in such that and . Find .

55. Find the exact circumference of the circle.

Find the volume of the cone. Use 3.14 for . Round to the nearest tenth.

56.

57. Find the geometric mean between each pair of numbers.
and

58. Find the perimeter and area of the parallelogram. Round to the nearest tenth if necessary.

Find x. Round to the nearest tenth if necessary.

59.

60.

Find each measure using the given measures of . Round measures to the nearest tenth.

61. If 71.9, 74.5, and 75.3, find .
62. The solid below is a composite of a cube and a square pyramid. The base of the solid is the base of the
cube. Find the lateral area of the solid.

Find the lateral area of a cylinder with the given measurements. Use 3.14 for pi and round your answer
to the nearest tenth.

63. height: 7 feet
diameter: 8 feet

64. Find the area of the figure. Round to the nearest tenth if necessary.

65. Find the measure of the .

Find the area of the indicated sector(s). Then find the probability of spinning the color indicated if the
diameter of the spinner is 12.

66. pink

67. Write an equation for a circle with a diameter that has endpoints at (–3, 7) and (–1, 5). Round to the
nearest tenth if necessary.

68. Find ST if and are altitudes and

69. Find x. Assume that segments that appear tangent are tangent.

70. Find the area of the figure. Round to the nearest tenth if necessary.

71. Find the measure of the angle to the nearest tenth of a degree.

72. Pat was flying a kite when the string broke and the kite fell to the ground. Pat is 36 yards lower than the
kite. The distance from Pat to the kite is 200 yards. What is the angle of elevation?

The radius, diameter, or circumference of a circle is given. Find the missing measures. Round to the
nearest hundredth if necessary.

73. d = 22.5 mi, r = ? , C = ?

74. Zack, Rachel, and Maddie are unraveling a huge ball of yarn to see how long it is. As they move away
from each other, they form a triangle. The distance from Zack to Rachel is 3 meters. The distance from
Rachel to Maddie is 2.5 meters. The distance from Maddie to Zack is 4 meters. Find the measures of the
three angles in the triangle.

75. The length of a diagonal of a square is millimeters. Find the perimeter of the square.

Determine whether is a right triangle for the given vertices. Explain.

76. Q(–6, –2), R(2, –5), S(–3, 6)
77. Find AB if and are altitudes and

78. In , and are diameters, and .

Find m arc BC.
Honors Geometry Final REVIEW

1.   506.2 centimeters2
2.   42:31
3.   ;
4.   yes,
5.   15
6.   22
7.   5159 ft
8.   11
9.   29.3 units2
10.   907.5 units2
11.   ; ; ; ; 3.6
12.   18
13.   72
14.   2:3
15.   612 units2
16.   264 units2
17.   14.6 in3
18.   13.2°
19.
20.   90
21.   125
22.   90
23.   81
24.   130
25.   3584 cm3
26.   11
27.
28.
29.   113
30.
31.   72
32.   1254.7 cm3
33.   83
34.   86.9 units2
35.   66.2 units2
36.   116.3 units2
37.   38.3 units2
38.   26 units2
39.   x  12.6, y  53.3, z  56.3
40.   109.6, 41.0, 29.4
41.
42.   170.9 centimeters2
43.   1:4
44.   30
45.   40
46.   6
47.
48.   12.1,
49.   120.0
50.   yes; by AA Similarity
51.   85°
52.   5.2 km
53.   313.7 m3
54.   38
55.   18 yds
56.   75.4 m3
57.
58.   52 yd; 124.7
59.   2
60.   5
61.   70.2
62.   768
63.   175.8
64.   360
65.
66.   18.8 units2, 0.17
67.
68.   7
69.   9
70.   174.9
71.   83.2
72.   10.4°
73.   r = 11.25 mi, C = 70.69 mi
74.   ,,
75.   36 millimeters
76.   yes; QR = , QS = , RS = ; QR2 + QS2 = RS2
77.   6
78.   90

```
DOCUMENT INFO
Shared By:
Categories:
Tags:
Stats:
 views: 6 posted: 9/17/2012 language: simple pages: 7
How are you planning on using Docstoc?