Geometry Spring Final Review
Chapter 12
Find the volume of the solid.
1.
2.
3.
Find the lateral area and surface area of the solid.
4.
5.
6.
Find the volume of the solid.
7.
8.
Chapter 11
9.
Find the indicated measures.
circumference of ⊙ 𝑹
̂
10. arc length of 𝑪𝑫
Find the area of the shaded region.
12.
13.
11.
̂
𝒎𝑿𝒀
Find the area of the polygon.
14. kite
15. regular pentagon
16. regular decagon
17. About 65,000 people live in an 8-mile radius of the town hall. What is the population density in people per square
mile?
Chapter 10
Use the diagram.
G.
18. Name the diameter of
19. Name a chord of
F.
20. Name a common tangent.
21. Name a radius of
F.
22. Name a point of tangency.
23. Name a secant.
Points S and T are points of tangency. Find the value of x.
24.
25.
26.
27. You are standing 25 feet from a water
tower. The distance from you to the
point of tangency on the tower is 45 feet.
What is the radius of the water tower?
Find the indicated measure.
28. Find the value of x.
̂
29. 𝑚𝐵𝐷𝐶
30. Find the values of x and y.
Find the value of x.
31.
32.
33.
Find the indicated measure.
34. Find the value of x.
Chapter 9
Find the value of x. Then tell whether the side lengths form a Pythagorean triple.
35.
36.
37.
Do the following segment lengths form a triangle? If so, is the triangle acute, obtuse, or right?
38
2, 4, 8
39. 5, 6, 7
Find the values of x and y. Write your answer in simplest form.
40.
10.
42.
41.
Identify the similar triangles. Then find the value of x.
43.
44
45.
Find tan A and tan B. Write each answer as a fraction and as a decimal rounded to the nearest hundredth.
46.
Find the value of x. Round your answer to the nearest tenth.
47
48.
49.
50. A wheelchair ramp is 4.2 meters long. It rises up 0.7 meter. What is the angle of elevation to the nearest tenth of a
degree?
51.You go to the park on a windy day to fly a kite. You have released 40 feet of string. The string makes an angle of 36
with the ground. How high is the kite in the air?
52. A 22-foot ladder is resting against the side of a building. The bottom of the ladder is 3 feet from the building. Find
the measure of the angle the ladder makes with the ground. Round your answer to the nearest tenth of a degree.
Chapter 8
In the diagram, ABCD
EFGH. Find the following.
53. scale factor
54. EH
55. AB
56. Your geometry class goes outside to measure the height of the school’s flagpole. A student who is 5 feet tall stands
up straight and casts a shadow
that is 8 feet long. At the same time the flagpole casts a shadow that is 24 feet long. What is the height of the
flagpole?
Find the value of x that makes the triangles similar.
57.
Find the value of x so that BC
DE.
58.
Chapter 7
59. Find the measure of each interior angle of a regular dodecagon.
60. Find the measure of each exterior angle of a regular 16-gon.
In parallelogram EFGH, EH  16, HZ  4, and mEHG  44. Find the indicated measure.
61. FH
62. mFEH
Find the values of x and y that make the quadrilateral a parallelogram.
63.
Given the most specific name for the quadrilateral. Explain your reasoning.
64.
65.
66.
67. Find the length of the mid-segment of the trapezoid.
68. Find the value of x.