GEOMETRY 2014-2015 SEMESTER EXAMS PRACTICE

GEOMETRY
2014-2015 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
1. (2.1-1) A figure is transformed in the plane such that no point maps to itself. What
type of transformation must this be?
(A)
dilation
(B)
reflection
(C)
rotation
(D)
translation
For question 2, determine the truth of the statements about rotations.
2. (2.1-2) Under a rotation, no point can map to itself.
(A)
True
(B)
False
3. (2.2-1) What term describes a transformation that does not change a figure’s size or
shape?
(A)
similarity
(B)
isometry
(C)
collinearity
(D)
symmetry
For questions 4-7, determine if the described transformation(s) is/are an isometry.
4. (2.2-2) A reflection is an isometry.
(A)
True
(B)
False
5. (2.2-3) A composition of two reflections is an isometry.
(A)
True
(B)
False
6. (2.2-4) A dilation is an isometry.
(A)
True
(B)
False
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SEMESTER 1
7. (2.2-5) A composition of a rotation and a dilation is an isometry.
(A)
True
(B)
False
For question 8, a transformation S is defined as  x, y    3x, y  1 .
8. (2.2-6) S is an isometry.
(A)
True
(B)
False
For questions 9-12, determine if the mapping is an isometry.
9. (2.2-7)
 x, y    x, y  2  is an isometry.
(A)
True
(B)
False
10. (2.2-8)
 x, y     x, y  is an isometry.
(A)
True
(B)
False
11. (2.2-9)
 x, y    y , x 
(A)
True
(B)
False
is an isometry.
12. (2.2-10)  x, y    2 x, y  is an isometry.
(A)
True
(B)
False
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SEMESTER 1
y
13. (2.3-1) Use the figure.
A transformation T is defined as  x, y    x, – y  .
Which shows the image of figure under T?
x
y
(A)
x
y
(B)
x
y
(C)
x
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SEMESTER 1
14. (2.3-2) Which transformation does NOT preserve the orientation of a figure?
(A)
dilation
(B)
reflection
(C)
rotation
(D)
translation
For question 15, determine the truth of the statements about rotations.
15. (2.3-3) Rotations preserve the orientation of a figure.
(A)
True
(B)
False
For question 16-17, point P is located at (6, 0) and undergoes a transformation.
16. (2.3-4) A rotation of 90° about P results in P = P.
(A)
True
(B)
False
17. (2.3-5) A translation by the vector 6, 0 results in P = P.
(A)
True
(B)
False
y

18. (2.3-6) Use the figure.
A
(a) Transform ABC by reflecting it
across the y-axis to produce ABC .
(b) Describe a transformation, or
composition of transformations, that
maps ABC to DEF .
B
C

F
E
D
 x
(c) Describe a single transformation
that maps ABC to DEF .

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19. ( 2.3-7) ABC is the image of ABC when a
reflected about line .
A'
Construct line 
B'
A
B
C'
C
20. (2.4-1) What is the image of the point (–4, 6) under the transformation
T  x, y     y , x  ?
(A)
(6, 4)
(B)
(–6, –4)
(C)
(4, 6)
(D)
(–4, –6)
21. (2.4-2) A figure is rotated about the origin by 180°, then is translated 4 units right and
one unit up. Which describes the results of the two transformations?
(A)
 x, y     x  4,  y  1
(B)
 x, y     x  4,  y  1
(C)
 x, y     y  4, x  1
(D)
 x, y     y  4, x  1
For question 22, a transformation S is defined as  x, y    3x, y  1 .
22. (2.4-3) The pre-image of A  3, 6  under S is A  9, 5  .
(A)
True
(B)
False
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23. (2.4-4) Given point A is located at (1, 3). What is the final image of A after this series
of transformations?
(1) Reflect A across the y axis.
(2) Translate the image such that  x, y    x  4, y  2  .
(A)
(–1, –3)
(B)
(–3, 5)
(C)
(–3, –1)
(D)
(–5, 5)
24. (2.4-5) A reflection about the x axis results in P = P.
(A)
True
(B)
False
25. (2.5-1) The point A(4, 3) is rotated –90° about the origin. In which quadrant is A' ?
(A)
I
(B)
II
(C)
III
(D)
IV
m
26. (2.5-2) Use the diagram.

k
Which series of reflections would result in a rotation of –44°
about A?
(A)
reflect across k¸ then reflect across 
(B)
reflect across ¸ then reflect across k
(C)
reflect across ¸ then reflect across m
(D)
reflect across m¸ then reflect across 
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44°
22°
A
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SEMESTER 1
27. (2.5-3) After a figure is rotated, P  P . Which statement(s) could be true?
(A)
The center of rotation is P.
(B)
The angle of rotation is a multiple of 360°.
(C)
Either A or B or both.
(D)
Neither A nor B.
28. (2.5-4) Draw the image of ABC when rotated 70°
about O.
O
A
B
C
29. (2.5-5) ABC is the image of ABC when rotated about point O. Construct point
O and compute the angle of rotation.
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A
C'
B
B'
C
A'
30. (2.6-1) Which of these is equivalent to a translation?
(A)
a reflection across one line
(B)
a composition of two reflections across intersecting lines
(C)
a composition of two reflections across parallel lines
31. (2.6-2) In the diagram, g  h and B lies on line g.
10cm
5cm
B
C
A
g
h
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The figure ABC is reflected across line g, and its image is reflected across line h.
What is the distance from line g to the final image of point A?
(A)
5 cm
(B)
15 cm
(C)
20 cm
(D)
25 cm
32. (2.6-3) A figure is reflected across the line y = 2, then reflected across the line y = 4.
Which single transformation results in the same image?
(A)
a reflection across the line y = 3
(B)
a reflection across the line y = 6
(C)
a translation 2 units up
(D)
a translation 4 units up
33. (2.6-4) Point A is the image of point A under a transformation T. Line  is the
perpendicular bisector of AA at point M. Which describes the transformation T?
(A)
a reflection across 
(B)
a 90° rotation about M
(C)
a translation by the vector from A to M
(D)
a dilation about M with scale factor 2
Forquestions34‐35,usethediagramwhichshowsABChasbeenreflectedacross
anunknownline,thenreflectedacrosslinemtoproduceABC.
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y

C
A
B
B

m
 x
A
C

34. (2.6-5) The equation of line  is x = –0.5.
(A)
True
(B)
False
35. (2.6-6) If ABC were reflected across line m first, then reflected across line to
produce ABC, the equation of line  would be x = –0.5.
(A)
True
(B)
False
36.(2.6‐7)Jimmyisbuildingago‐carttorace.Jimmysitsinaseattowardtheleft
rearcornerofthecart.Toseeothercartsbehindhim,hemounts3planemirrors:
oneoneachsideofthecartandoneinthecenter.
The scale diagram shows a top view of the cart.
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SEMESTER 1
FrontofCart
centermirror
leftsidemirror
rightsidemirror
1foot
J
Seat
(a) Jimmy’s eyes are at point J. The mirrors are mounted in a way that Jimmy
does not block his own view. Show the area behind the cart that Jimmy can
see using the mirrors.
(b) Describe how Jimmy could improve his visibility behind the cart using the
same three mirrors.
37. (2.6-8) Draw the image of ABC when
reflected across line m.
A
m
B
C
For questions 38-40, use the diagram showing parallelogram ABCD.
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A
E
I
H
D
F
G
C
38. (2.8-1) A reflection across EG carries parallelogram ABCD onto itself.
(A)
True
(B)
False
39. (2.8-2) A rotation of 90° about I carries parallelogram ABCD onto itself.
(A)
True
(B)
False
40. (2.8-3) A rotation of 180° about I carries parallelogram ABCD onto itself.
(A)
True
(B)
False
41. (2.8-4) A regular polygon with n sides is carried onto itself by a positive rotation
about its center that is a multiple of 60°, but less than 360°.
Which could NOT be the value of n?
(A)
3
(B)
4
(C)
5
(D)
6
42. (3.1-1) Look at the figure below.
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Look at these three figures.
II
III
I
Which figures are congruent to the first figure?
(A)
I only
(B)
II only
(C)
I and II only
(D)
I, II, and III
For questions 43-45, evaluate whether the image of a figure under the described
transformation is congruent to the figure.
43. (3.2-1) A transformation T follows the rule  x, y    x  3, y  . The image of a
figure under T is congruent to the figure.
(A)
True
(B)
False
44. (3.2-2) A transformation T follows the rule  x, y     y,  x  . The image of a
figure under T is congruent to the figure.
(A)
True
(B)
False
45. (3.2-3) A transformation T follows the rule  x, y    x, 2 y  . The image of a figure
under T is congruent to the figure.
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(A)
True
(B)
False
46. (3.2-4) The diagram shows regular hexagon ABCDEF with center O.
For each part, fill in the blank.
A
(a) _____ is the image of A under a 60°
rotation about O.
(b) The figure is reflected across AD .
The pre-image of E is _____.
B
F
E
O
(c) F is the image of D when the figure is
rotated _____° about O.
(d) B is first reflected across FC . That
image maps to F when reflected across
_____.
C
D
47. (3.3-1) On the coordinate plane, draw triangles ABC and ABC such that:
(1) A = A
(2) ABC has been rotated 90°.
Forquestions48‐50,consideratriangle ABC thathasbeentransformedthrough
rigidmotionsanditsimagecomparedto XYZ .Determineifthegiveninformation
issufficienttodrawtheprovidedconclusion.
48.(3.4-1)
Given
Conclusion
A  X
B  Y C  Z
ABC  XYZ (A)
True
(B)
False
49. (3.4-2)
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Given
Conclusion
A  X
B  Y ABC  XYZ BC  YZ
(A)
True
(B)
False
50. (3.4-3)
Given
A  X
Conclusion
AB  XY ABC  XYZ BC  YZ
(A)
True
(B)
False
51. (3.4-4) In the diagram, m is the perpendicular bisector of AB at C, and rm  D   E .
m
E
D
A
C
B
Prove ADC  BEC .
52. (3.4-5) In the diagram, DC is the perpendicular bisector of AB .
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D
Prove DAB  DBA .
A
C
B
53. (3.4-6) Use the diagram.
Given:
BD  AC
AE  BC
Prove:
AEC  BDC
B
E
F
A
C
D
54. (3.5-1) Use the diagram.
Which statement would be used to prove lines r and s
are parallel?
(A)
1 and 3 are congruent
(B)
 2 and 7 are complementary
(C)
 4 and 1 are congruent
(D)
8 and 6 are supplementary
s
r
m
3 4
1 2
n
8 7
p
55. (3.5-2) In the diagram, m  n and p  q .
6 5
q
m
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88°
n
x°
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SEMESTER 1
What is the value of x?
(A)
44
(B)
88
(C)
92
(D)
176
For questions 56-59, use the diagram where B is the reflection of A across PQ .
56. (3.6-1) PA = PB
(A)
True
(B)
False
P
57. (3.6-2) PQ  AB
(A)
True
(B)
False
A
Q
B
58. (3.6-3) AQ = QB
(A)
True
(B)
False
59. (3.6-4) PQ 
1
AB
2
(A)
True
(B)
False
60. (4.1-1) In ABC , M is the midpoint of AB and N is the midpoint of AC . For which
1
type of triangle is MN  BC ?
2
(A)
equilateral only
(B)
isosceles only
(C)
scalene only
(D)
any triangle
For questions 61-62, consider ABC where AB = BC and mA  40 .
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61. (4.2-1) mB  mC  140
(A)
True
(B)
False
62. (4.2-2) mC  100
(A)
True
(B)
False
63. (4.2-3) Prove the sum of the measures of the interior angles of any triangle is 180°.
For questions 64-66, use the diagram where ABCD is a quadrilateral with AB  CD and
AD  BC . Diagonals AC and BD intersect at E.
A
B
E
C
D
64. (4.3-1) CBE  ABE
(A)
True
(B)
False
65. (4.3-2) ADE  ABE
(A)
True
(B)
False
66. (4.3-3) CDE  ABE
(A)
True
(B)
False
67. (4.4-1) Use scalene right triangle ABC.
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C
A
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SEMESTER 1
Describe and sketch the transformations required so that the union of the triangle
and its image forms
(a)
a kite.
(b)
an isosceles triangle.
(c)
a rectangle.
68. (4.6-1) Use the Venn diagram.
Quadrilateral
I
Parallelogram
II
Rhombi
Squares
Rectangles
III
IV
V
Trapezoids VI
VII
Kites
A quadrilateral ABCD has 4 lines of symmetry. Identify the area of the diagram in
which ABCD resides.
(A)
III
(B)
IV
(C)
V
(D)
VII
69. (5.1-1) Triangle ABC has vertices A  2, 2  , B  5, 5  , and C  5, 3 . The triangle
is dilated about the point 1, 1 with scale factor 4. What is the location of A' ?
(A)
 8, 8
(B)
 10, 10 
(C)
 11, 5
(D)
 14, 6 
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70. (5.1-2) Use the diagram.
y


m
 x

Dilate line m about the origin with scale factor 2. What is the equation of the line’s
image?
(A)
y = 2x + 2
(B)
y = 2x + 4
(C)
y = 4x + 2
(D)
y = 4x +
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71. (5.1-3) Use the diagram.
y
m
P
Dilate line m by a factor
x
1
about P. Which shows the result of the dilation?
2
y
(A)
y
(B)
m'
m'
P
x
P
y
y
(C)
x
(D)
m'
m'
P
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P
x
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72. (5.1-4) In the diagram, segments AB and CD intersect at E, F lies on AB , and
mAEC  60 .
The two segments are dilated about F with scale
1
factor . What is mAEC ?
2
(A)
30°
(B)
60°
(C)
90°
(D)
120°
B
D
F
E
60°
A
For questions 73-75, use the diagram.
C
AF
E
B
D
G
C
F
Let the figure be dilated with scale factor k, where k  0 and k  1.
73. (5.1-5) mABE   k  mABE  .
(A)
True
(B)
False
74. (5.1-6) G' is between B' and F'.
(A)
True
(B)
False
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75. (5.1-7) C D  k  CD 
(A)
True
(B)
False
76. (5.1-8) Use the figure below.
y
x
Which shows the figure dilated about the origin with scale factor 1.5?
y
y
(A)
(B)
x
x
y
(C)
x
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77. (5.1-9) One vertex of a polygon is A(–4, 5). If the polygon is dilated about the point
(0, 2) with scale factor –2, what is the location of A?
(A)
(–8, 8)
(B)
(–8, 10)
(C)
(8, –10)
(D)
(8, –4)
78. (5.2-1) In the diagram, ABCD is dilated with center O to produce A'B'C'D', and
1
AB  AB .
A
3
What is
OA
?
AA
(A)
1
3
(B)
1
2
(C)
2
(D)
3
A'
D
D'
O
C'
B'
C
B
79. (5.2-2) J(5, 7) is the image of J(3, 3) after a dilation with scale factor 3. Where is
the center of dilation?
(A)
(–3, –9)
(B)
(0, 0)
(C)
(2, 1)
(D)
(4, 5)
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80. (5.2-3) In the diagram, ABC is a dilation of ABC .
A
A'
B'
C'
B
(a)
Find the center of dilation O.
(b)
Compute the scale factor of the dilation.
C
81. (5.9-1) Right triangle PQR has sides of length 6 units, 8 units, and 10 units. The
triangle is dilated by a scale factor of 4 about point Q. What is the area of triangle
P'Q'R'?
(A)
96 square units
(B)
192 square units
(C)
384 square units
(D)
768 square units
82. (5.10-1) In the diagram below BC  DH .
A
4
D
9
H
y
8
B
C
What is the value of y?
(A)
13
(B)
18
(C)
27
2014-2015
Clark County School District
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Revised October 2014
GEOMETRY
2014-2015 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
83. (5.10-2) The ratio of the side lengths of a triangle is 3:6:8. A second triangle is
similar to the first and its shortest side measures 8.0 centimeters. What is the length
of the longest side of the second triangle?
(A)
3.0 cm
(B)
10.7 cm
(C)
13.0 cm
(D)
21.3 cm
84. (5.11H-1) (HONORS) Triangle ABC has sides of length 3, 6, and 8. Triangle DEF
is similar to triangle ABC and has one side with length 24.
(a) What are the possible scale factors of the dilation of triangle ABC to
triangle DEF?
(b)
Compute one possible area of triangle DEF.
85. (5.12-1) In the diagram, a student has placed a mirror on level ground, then stands so
that the top of a nearby tree is visible in the
mirror.
What is the height of the tree?
(A)
24 m
(B)
35 m
(C)
41 m
(D)
59 m
86. (5.12-2)
2m
3m
36m
In the diagram, JG  QR .
Q
J
What is the value of x?
(A)
11
(B)
6
(C)
5
(D)
3
2014-2015
Clark County School District
R
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P
4
7
x
G
8
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GEOMETRY
2014-2015 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
87. (5.12-3) Triangle One has vertices (2, 4), (2, 8), and (5, 4). Triangle Two is similar
to Triangle One and has two of its vertices at (–1, 1) and (–7, 1).
(a) Draw Triangle One and Triangle Two on the coordinate plane and label
the vertices.
(b) Draw and label a third triangle that is similar to Triangle One, has two
vertices at (–1, 1) and (–7, 1), but is not congruent to Triangle Two.
88. (5.13-1) Which figure contains two similar triangles that are NOT congruent?
(A)
(B)
(C)
(D)
89. (5.13-2) Which is NOT a criterion for triangle similarity?
(A)
angle-angle
(B)
angle-side-angle
(C)
side-angle-side
(D)
side-side
2014-2015
Clark County School District
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GEOMETRY
2014-2015 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
90. (5.14-1) Sally constructs a triangle where two of the angles measure 50° and 60°.
Tom constructs a triangle where two of the angles measure 50° and 70°. What is true
about the two triangles?
(A)
The triangles cannot be similar.
(B)
The triangles could be similar.
(C)
The triangles must be similar.
91. (5.14-2) Prove that any two isosceles right triangles are similar.
92. (6.1-1) Use the diagram.
C
Which is equal to h?
(A)
ay
(B)
bx
(C)
xy
(D)
ab
b
a
h
x
y
A
B
D
c
93. (6.1-2) In the diagram, ABC is a right triangle with right angle C, and CD is an
altitude of ABC .
Use the fact that ABC  ACD  CBD to
C
prove a 2  b 2  c 2 .
b
a
d
e
A
D
c
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Clark County School District
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B
GEOMETRY
2014-2015 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
1
. GH I  is a dilation of GHI
2
about G with a scale factor of 2. What is the sine of angle G' ?
94. (6.4-1) In GHI , the sine of angle G equals
(A)
1
4
(B)
1
2
3
2
(C)
(D)
95. (6.5-1)
1
Let cos A  m . What is the value of sin A ?
(A)
m
(B)
1–m
(C)
1  m2
(D)
1 m
96. (6.5-2)
Use the diagram.
B
Which statement is true?
(A)
sin A 
13
5
(B)
cos A 
12
13
(C)
12
tan A 
5
13
5
C
A
12
C
97. (6.5-3) In the diagram, BC < BD and BD = AD.
A
Which statement is true?
(A)
cos ABC  sin DAB
(B)
cos ABC  sin DAB
(C)
cos ABC  sin DAB 2014-2015
Clark County School District
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B
D
Revised October 2014
GEOMETRY
2014-2015 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
 3
98. (6.6-1)
What is cos1 
 ?
2


(A)
30°
(B)
45°
(C)
60°
(D)
90°
99. (6.6-2)
What is tan 60°?
(A)
2
2
(B)
3
2
(C)
1
3
(D)
3
100. (6.6-3)
What is tan 1 1 ?
(A)
30°
(B)
45°
(C)
60°
(D)
90°
For question 101, use the following statement. Given: An angle measures k°, where k > 0.
101. (6.7-1)
sin k   cos  90  k  
(A)
True
(B)
False
102. (6.7-2) In ABC where C is a right angle, sin A 
2014-2015
Clark County School District
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7
. What is cos B?
4
Revised October 2014
GEOMETRY
2014-2015 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
(A)
7
4
(B)
7
3
(C)
(D)
3
4
3
7
For questions 103-104, let cos x  m .
103. (6.7-3)
cos  90  x   = m
(A)
True
(B)
False
104. (6.7-4)
sin  90  x   = m
(A)
True
(B)
False
105. (6.7-5)
Let a  cos28 . Which statement is true?
(A)
a  cos 62
(B)
a  cos 152
(C)
a  sin 62
(D)
a  sin 152
106. (6.8-1) Use the diagram.
2014-2015
Clark County School District
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GEOMETRY
2014-2015 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
B
41
A
35°
C
x
Which is the value of x?
(A)
x  41cos35
(B)
x
tan 35
41
(C)
x
41
cos35
(D)
x
41
tan 35
107. (6.8-2)
Use the diagram.
What is the value of d ?
(A)
5
(B)
5 2
(C)
10
(D)
10 2
d
45°
108. (6.10-1) Fred stands at corner A of a rectangular field shown below. He needs to get
to corner C.
A
What is the shortest distance from A to C?
(A)
9m
(B)
13 m
(C)
15 m
(D)
21 m
2014-2015
Clark County School District
9m
D
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B
12m
C
Revised October 2014
GEOMETRY
2014-2015 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
109. (6.10-2) Use the right triangle. What is the value of x?
15
x
8
(A)
7
(B)
161
(C)
7
(D)
17
110. (6.10-3) The diagram shows a model of a closet floor on which Kim is laying
carpet. (Measurements are approximate.)
(a)
What is the area of the closet?
13
(b) The carpet Kim is using is cut by
the carpet store in rectangular pieces
from a 4-foot wide roll. What is the
shortest length of carpet Kim would
need to cover the closet floor in a single
piece? Justify your answer.
23
145°
145°
36
29
2
2014-2015
Clark County School District
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GEOMETRY
2014-2015 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
111. (6.15H-1) (HONORS) Consider a triangle ABC. Which statement is true?
(A)
c 2  a 2  b 2  2 ab cos C
(B)
c 2  a 2  b 2  2 ab cos C
(C)
c 2  a 2  b 2  2 ab cos C
(D)
c 2  a 2  b 2  2 ab cos C
112. (6.15H-2) (HONORS) Use the diagram.
A
What is cos A ?
(A)
16
56
(B)
56
16
(C)

16
56
(D)

56
16
7
4
B
C
9
113. (6.16H-1) (HONORS) The diagram shows a surveyor’s
map.
The surveyor is trying to measure the direct distance between
points A and B, which are on opposite sides of a lake. From
point C, point A is 950 meters away in a direction 20° west of
north. From point C, point B is 880 meters away in a direction
50° east of north.
Which represents the distance between A and B?
(A)
B
950m 20°
(B)
880
950

sin 50 sin 20
(C)
950 sin 70
sin 55
50°
880m
950 2  8802  2  950  880  cos 70
2014-2015
Clark County School District
A
C
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Revised October 2014
GEOMETRY
2014-2015 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
114. (6.16H-2) (HONORS) A small airplane flies due north at 150 kilometers per hour.
A wind is blowing towards the direction 60° east of north at 50 kilometers per hour.
Which figure represents the final speed and direction of the airplane?
(A) 
N
(B) 
N
(C) 
N
(D) 



















N

For questions 115-117, consider a triangle ABC and each given set of measurements.
115. (6.16H-3) (HONORS) AB, AC, and mA are sufficient to solve the triangle using
the Law of Sines.
(A)
True
(B)
False
116. (6.16H-4) (HONORS) AB, AC, and mB are sufficient to solve the triangle using
the Law of Sines.
(A)
True
(B)
False
117. (6.16H-5) (HONORS) AB, AC, and BC are sufficient to solve the triangle using the
Law of Sines.
(A)
True
(B)
False
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Clark County School District
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Revised October 2014
GEOMETRY
2014-2015 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
118. (6.16H-6) (HONORS) Given: cos 26  0.90 and sin 26  0.44
What is the approximate value of cos 154 ?
(A)
–0.90
(B)
–0.44
(C)
0.44
(D)
0.90
For questions 119-120 use the statement below.
Given: An angle measures k°, where k > 0.
119. (6.16H-7) (HONORS) sin k   sin 180  k  
(A)
True
(B)
False
120. (6.16H-8) (HONORS) cos k   cos 180  k  
(A)
True
(B)
False
For question 121, let cos x  m .
121. (6.16H-9) (HONORS) cos 180  x   = m
(A)
True
(B)
False
122. (6.16H-10) (HONORS) In triangle ABC, mB  25 , a = 6.2, and b = 4. Find all
possible measures of the remaining two angles and the third side.
123. (6.16H-11) (HONORS) In triangle ABC, mB  25 , a = 6.2, and c = 4.
(a)
Find all possible measures of the remaining two angles and the third side.
(b) Findallpossibleareasofthetriangle
2014-2015
Clark County School District
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Revised October 2014
GEOMETRY
2014-2015 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
124. (6.18H-1) (HONORS) The diagram shows a parallelogram ABCD.
B
C
5
60°
A
D
3
What is the parallelogram’s area?
(A)
7.5 3
(B)
15
(C)
15 3
(D)
30 3
125. (6.18H-2) (HONORS) In the diagram, ABC is a non-right triangle.
C
b
a
B
A
c
Which describes the area of the triangle?
(A)
1
ab
2
(B)
ab sin C
(C)
1
ab sin C
2
(D)
1
ab cos C
2
2014-2015
Clark County School District
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Revised October 2014