M217
Second Semester Final Exam Review
Name ________________________
Date ________________________
Part I: True or False: If a statement is false, correct it to make it true.
1) Congruent triangles are never similar.
1.
T
F
2) All right triangles are similar.
2. T
F
3) Three ways of proving triangles similar are: AA~, SSS~ and ASA~.
3.
T
F
4) All rectangles are similar.
4.
T
F
5) A square can never be similar to a rectangle.
5. T
F
6) In a 30-60-90 triangle, the hypotenuse is twice the length of the short leg.
6. T
F
7) The tangent ratio is the leg adjacent over the leg opposite.
7. T
F
8) A triangle with side lengths 12,16, 20 is a right triangle.
8. T
F
9) A secant line intersects a circle at one point.
9.
T
F
10) The diameter is equal to twice the length of the radius.
10. T
F
11) An inscribed angle has its vertex at the center of the circle.
11. T
F
12) A minor arc has a measure between 0 and 180 degrees.
12. T
F
13) Two chords equidistant from the center of a circle are congruent.
13. T
F
14) Two non-intersecting circles have four common tangents.
14. T
F
15) Given a hexagon with six sides of varying lengths, the sum of the
measures of the interior angles is 720°.
15. T
F
16) The measure of each interior angle of a regular pentagon is 120°.
16. T
F
17) A circle with radius of 4 inches has a circumference of 4π
17. T
F
18) All radii of the same sphere are congruent
18.
T
F
19) The formula for the surface area of a pyramid is SA = 2B + Ph.
19. T
F
20) All right cylinders have two congruent and parallel bases.
20. T
F
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Part II: Multiple Choice: Read the question carefully. Then choose the best answer.
21) Given 4 parallel lines, solve for x and y
2x + 8
2x - y
16
12
3x
a. 4, 8/3
b. 4/3 , 4
x
c.
3, 8
d.
12, 16
22) What value of x will make the two triangles similar?
a. 8
b. 10
c. 12
d. 4
23) Which reason may be used to prove the triangles below are similar?
a. AA~
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b. SAS~
c. HL~
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d. ASA~
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24) In the figure below, NK || ML, JN = 10 ft, NK = 14ft, JL = 22 ft and ML = 24 ft. Find KL.
a. 9.2 ft
25) Given: ∆
Find: EF
b. 12.8 ft
c. 37.7 ft
~∆
B
E
100
3
D
20
10
b. 4
5
8
A
a.
d. 15.7 ft
F
C
c. 6
d. 12
26) 8 is the geometric mean between 16 and a number. What is that number?
a. 8√3
b. 4
c. 8√2
d. 12
27) Calvin has maintained an 80% average throughout the year. If the next test has 95 questions and
Calvin again scores his average, how many questions will he get correct?
a. 92
28) The _______________ of
a.
sine
c. 80
b. 76
is
d. 99
.
b. cosine
c.
tangent
d. cotangent
29) Which set of side lengths do not form a Pythagorean triple?
a. 6, 8, 10
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b. 7, 24, 25
c. 5, 12, 13
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d. 4, 5, 6
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30) Classify the triangle with side lengths of 11, 12, 15.
a. acute
b. obtuse
c. right
d. Not a triangle
31) The longer leg of a 30-60-90 triangle is 6. What is the length of the hypotenuse?
a. 2√3
d. 12
c. 4√3
b. 3√2
32) What is the value of x to the nearest degree?
46.8
35.1
x
58.5
a. 53
47
b. 43
c. 37
Given the inscribed quad DEFG with m E = 2x, m F = 64◦, m G = 4x – 6, and m D = y.
33) Find x
a. 3
F
b. 31
c. 62
d. 118
E
C
34) Find y
a. 3
G
b. 31
c. 64
D
d. 116
Given: Circle H, EF = 8 and HE = 6. Find each of the following.
F
35) Find the radius of the circle
E
D
a. 6
b. 8
c. 10
d. 4
c. 10
d. 16
c. 8
d. 10
G
36) Find the length of DF
a. 6
b. 8
37) Find the length of EG
a. 4
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b. 6
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Segments EF and DF are tangent to the circle. DF = x2 + 6x, EF = 4x + 24,
and F = 60◦.
G
38) What is the value of x?
a. 4
E
b. 6
c. 8
d. 10
D
39) What is the measure of arc DGE?
a. 120◦
b. 240◦
c. 60◦
F
d. 180◦
Use the diagram to the right to answer questions #40-45.
A
40) Which segment is a radius?
a. BD
b. AD
c. CE
d. DE

c. CE

d. AD
B
D
41) Which of the following is a tangent?
a.

AC

b. DE
42) Which point is inside the circle?
a. A
b. B
C
E
c. D
d. E
c. D
d. E
c. CED
d. DBC
43) Which point is outside the circle?
a. A
b. C
44) What angle is an inscribed angle?
a. CAD
b. CBD
45) What angle is a central angle?
a. CAD
b. CBD
c. CED
d. ADE
46) What is the area of a regular hexagon with side length = 10? Round your answer to the tenths place.
a.
b.
c.
d.
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15.5 inches
93.5 inches
150 inches
259.8 inches
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47) A park has a circular fountain. The diameter of the fountain is 9 feet. What is the distance traveled
if you walk around the edge of the fountain once? Leave your answer in terms of π.
a.
b.
c.
d.
9π feet
6π feet
18π feet
81π feet
48) For a circle of radius 5 feet, find the arc length of a central angle of 60°. Leave your answer in terms
of π.
a. 36 feet
π
b. 4 π feet
c. 2 π feet
d. 5 π feet
3
49) A regular octagon has eight congruent interior angles. What is the measure of each angle?
a. 180°
b. 135°
c. 157.5°
d. 45°
50) Find the area of sector NMP. Leave your answer in terms of π.
a. 16
8

b.
3
c. 8
32

d.
3
51) The figure below is made up of two squares with the areas shown. What is the length of x?
a.
b.
c.
d.
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120
50
80
130
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52) In rhombus MNPQ, MP = 15 and NQ = 18. Find the area of the rhombus.
a.
b.
c.
d.
270 square units
67.5 square units
135 square units
Not enough information is given
53) A round pizza, with diameter 14 inches, is cut into 12 equal slices. A square pizza, with side length
12 inches, is cut into 9 equal squares. Which pizza slice, the sector or the square, has the greatest
area? How much greater is it?
a.
b.
c.
d.
square; 3.2 square inches
square; 2 square inches
sector; 3.2 square inches
sector; 2 square inches
Find the lateral area of each prism. Round to the nearest tenth if necessary.
54) The dimension labeled 10 is the height of the prism.
4
10
5
a. 120 units2
b. 160 units2
c. 180 units2
d. 220 units2
For problems 55 and 56 find the surface area of each prism. Round to the nearest tenth if necessary
while doing your calculations as well as in your final answer.
55)
6
5
10
2
a. 112 units
b. 120 units2
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c. 144 units2
d. 168 units2
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56)
4
3
10
a. 136 units2
b. 140 units2
c. 152 units2
d. 164 units2
57) Find the surface area of the cylinder.
4 in.
7 in.
a. 113p
b. 102p
c. 56p
d. 88p
58) Find the lateral area of the cone.
7 ft
5 ft
a. 11p
b. 35p
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c. 60p
d. 58p
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59)
Find the surface area of the sphere.
6m
a. 36p
b. 108p
c. 9p
d. 12p
For problems 60 and 61 find the volume of the prism. Round to the nearest tenth if necessary.
60)
2 in.
10 in.
13 in.
a. 273 in
b. 50 in 3
3
c. 260 in 3
d. 176 in 3
61)
8 cm
8 cm
14 cm
10 cm
a. 1120.0 cm 3
b. 560.0 cm 3
c. 660.4 cm 3
d. 437.1 cm 3
62) Find the volume of the cylinder. Round your answer to the tenths place.
12.8 in.
14 in.
a. 7882.3 in 3
b. 628.3 in 3
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c. 282.7 in 3
d. 1970.4 in 3
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63) Find the volume of the pyramid.
20 m
24 m
30 m
a. 11,520 m 3
b. 14,400 m 3
c. 4800 m 3
d. 3840 m 3
64) Find the volume of the cone.
37 m
24 m
c. 5040p m 3
d. 5328p m 3
a. 1776pm 3
b. 1680p m 3
65) Find the volume of the sphere.
17 m
a. 301.6 m3
b. 644.0 m3
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c. 1928.9 m3
d. 2572.4 m3
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02/17/2009