Download In questions 1-5, refer to the diagram and set up the ratio

Geometry Final Study Guide
Name__________________________________________
1) What does SOHCAHTOA mean?
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In questions 1-5, refer to the diagram and set up the ratio. Do not solve for the
angle measure.
2. sin B = _____
3. cos B = _____
4. sin A = _____
5. cos A = _____
6. tan A = _____
7. tan B = _____
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Find the value of each.
8.
sin 80   _____
9.
cos 52   _____
10.
tan 24   _____
11.
sin ____  0.6744
12.
cos ____  0.9903
13.
tan ____  1.8040
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For numbers 13-18, please solve for variable or variables.
14.
15.
16.
17.
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Geometry Final Study Guide
18. From the top of a lighthouse 18m high, the angle of depression to sight a boat is 4
degrees. What is the distance between the boat and the base of the lighthouse?
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For questions 19-33 please use figure below. O is the center of the circle.
19.
A diameter:
______
20.
Three chords:
______ ______
21.
A secant:
______
22.
Three radii:
______ ______ ______
23.
A tangent:
______
24.
Two central angles
______ ______
25.
Two minor arcs:
______ ______
26.
Two major arcs:
______ ______
27.
A semicircle:
______
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Geometry Final Study Guide
Find the area of each figure. Please write out all formulas.
28. A rectangle with a base of 12 and height of 10.
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29. A triangle with height of 8 cm and base of 6 cm.
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30. A trapezoid with bases of 15 and 25 with a height of 7.
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31. A circle with a diameter of 24.
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32. A parallelogram with base of 8 m and height of 12 m.
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33. Find the area of a cone with a radius of 3m and height slant height of 5m.
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Geometry Final Study Guide
34. Find the area of a rectangle prism with length of 12, width of 10 and height of 8.
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35. A cube with base edges of 4 cm. Find the volume of the cube.
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36.. A scoop of ice cream with a diameter of 6 cm is placed in an ice cream cone with a
diameter of 5cm and height of 12cm. Is the cone big enough to hold al the ice cream if it
melts. If not how much will the ice cream overflow.
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37. Find area of a triangle.
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Geometry Final Study Guide
38. Find the area of the figure below.
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39. Find the length of AB.
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Fill in the blank. Show all work, including formula. Leave answers in terms
of  .
40.
d = 24cm
A = _____
41.
r = 15in
A = _____
42.
r = _____
A = 81  ft 2
43.
d = _____
A=256  m 2
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Geometry Final Study Guide
Fill in the blank. Show all work, including formula. Round answers to the
nearest tenth, use  = 3.14.
44.
r = 2.9
C = _____
45.
d = 8.1
C = _____
46.
r = _____
C = 56.52
47.
d = _____
C = 75.36
Fill in the blank. Show all work. Leave answers in terms of  .
48.
length of JL = ________
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49.
length of PC = _______
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Geometry Final Study Guide
50.
length of XYZ = _______
In the figure to the right, XT and SR are diameters.
51.
mSOT = ______.
52.
mXS = ______.
53.
mSRT = ______.
54.
mTOR = ______.
55.
mTSR = ______.
56.
mTXR = ______.
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Geometry Final Study Guide
PA and PD are tangent to
O at A and D, mPD = 14, m AB = 90, mBC = 20,
mCD = 100. Find each of the following.
57.
m AE = _____
58.
mDE = _____
59.
m 1 = _____
60.
m 2 = _____
61.
m 3 = _____
62.
m 4 = _____
63.
m 5 = _____
64.
m 6 = _____
65.
mAP = _____
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