Geometry 2009–2010 Semester 2 Assessment — Released
Note: Diagrams on this exam are not necessarily drawn to scale.
1. A circular pond has a radius of 14 feet.
Find the approximate circumference of
the pond.
4. A rectangular flower garden is
surrounded by a grass border as shown.
The grass border is 5 meters wide on all
sides of the flower garden and the outer
dimensions of the border are 50 meters
by 40 meters.
A. 44 ft
B. 88 ft
C. 196 ft
5m
Grass
D. 615 ft
5m
2. In the figure, the adjacent sides of the
polygon are perpendicular.
Flower
Garden
50 m
15
5m
5m
8
12
40 m
6
Determine the area of the grass border.
A. 90 m 2
What is the perimeter of the figure?
B. 425 m 2
A. 27 units
C. 800 m 2
B. 41 units
D. 1200 m 2
C. 50 units
D. 54 units
3. The width of a rectangular field is 400
meters. The area is 320,000 square
meters. What is the perimeter of the
field?
A. 160 m
B. 800 m
C. 1200 m
D. 2400 m
2009–2010
Clark County School District
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Revised 07/06/2010
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Geometry 2009–2010 Semester 2 Assessment — Released
Note: Diagrams on this exam are not necessarily drawn to scale.
7. The volume of the rectangular pyramid
BH
below is given by the formula V 
.
3
5. What is the best description of VA in
relation to the pyramid?
V
6 in.
A
4 in.
D
F
H
B
8 in.
C
What is the volume of the pyramid?
A. base edge
A. 64 in.3
B. height
B. 72 in.3
C. lateral edge
C. 128 in.3
D. slant height
D. 192 in.3
6. The surface area of a cylinder is given
by the formula SA  2 r 2  2 rh .
8. The volume of a cone is given by the
 r2H
formula V 
.
3
6 cm
2 cm
6 ft
What is the surface area of the cylinder
above?
4 ft
A. 24π cm
2
What is the volume of the cone?
B. 48π cm2
C. 72π cm2
A. 8π ft3
D. 96π cm2
B. 32π ft3
C. 48π ft3
D. 96π ft3
2009–2010
Clark County School District
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Revised 07/06/2010
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Geometry 2009–2010 Semester 2 Assessment — Released
Note: Diagrams on this exam are not necessarily drawn to scale.
9. A bubble forms a sphere with a radius
of 3 cm.
11. Two similar nonagons have a scale
factor of 5:3. The smaller nonagon has
an area of 90 m 2 .
4
V   r3
3
What is the volume of air inside the
bubble?
A. 12π cm3
B. 24π cm3
C. 36π cm3
D. 108π cm
What is the area of the larger nonagon?
3
A. 19 m2
B. 30 m2
10. A box of sugar in the shape of a
rectangular prism measures 6 inches by
2 inches by 10 inches. After some sugar
2
is used, the box is
full.
3
C. 150 m2
D. 250 m2
12. A pizza parlor has two different sizes of
pizza. The smaller one has a diameter
of 12 inches and the larger one has a
diameter of 16 inches.
12 in.
16 in.
How many cubic inches of sugar
were used?
A. 12 in.3
B. 18 in.
What is the ratio of the area of the
smaller pizza to the area of the larger
pizza?
3
C. 40 in.3
D. 80 in.3
A.
3 :2
B.
6:2 2
C. 3:4
D. 9:16
2009–2010
Clark County School District
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Geometry 2009–2010 Semester 2 Assessment — Released
Note: Diagrams on this exam are not necessarily drawn to scale.
13. Which accurately describes a chord?
15. Use circle O.
P
A. A segment whose endpoints are points on
the circle.
Q
B. A segment having an endpoint on the
circle and an endpoint at the center of the
circle.
O
38º
C. A line that intersects a circle at two points.
T
D. A line that intersects a circle at exactly one
point.
R
Since mTRQ  38 , what is mTPQ ?
14. Use the figure.
A. 19°
B. 38°
E
C. 42°
G
D. 76°
C
B
16. Use circle J.
L
A
 x  15 
D
 2 x  12 
K
Which represents a tangent?
J
A. AD
B. AG
C. AC
D. BE
What is the value of x?
A. 3
B. 9
C. 27
D. 29
2009–2010
Clark County School District
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Geometry 2009–2010 Semester 2 Assessment — Released
Note: Diagrams on this exam are not necessarily drawn to scale.
17. In circle N, mJK   x  9   ,
19. Two tangents are drawn from point D to
circle A.
mLM  36 , and mJHK   2 x   .
C
K
J
A
D
N
H
B
What conclusion is guaranteed by this
diagram?
M
L
A. ABC is a right triangle.
B. BCD is a right triangle.
What is the value of x?
A. 9
C. AD = CD
B. 15
D. BD = CD
C. 16
D. 45
18. In the figure below, mH  15 and
mMN  160 .
M
J
H
L
K
N
What is the mJK ?
A. 95°
B. 130°
C. 145°
D. 175°
2009–2010
Clark County School District
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Geometry 2009–2010 Semester 2 Assessment — Released
Note: Diagrams on this exam are not necessarily drawn to scale.
20. All segments shown in the figure below
are tangent to circle A. M is the
midpoint of XZ .
21. In circle D, DS = DV, ST = 3x + 7, and
UW = x + 4.
T
S
Y
W
R
5
D
V
U
A
What is the value of x?
X
3
M
A. –3
Z
B. −2.5
Given the measures in the figure, what is
the perimeter of XYZ ?
C. −2
D. −1.5
A. 20 units
B. 22 units
C. 24 units
D. 26 units
2009–2010
Clark County School District
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Geometry 2009–2010 Semester 2 Assessment — Released
Note: Diagrams on this exam are not necessarily drawn to scale.
24. How many lines of symmetry does an
equilateral triangle have?
22. SR is a diameter of circle M.
mRMT   x  5  ,
mUMR   x  10  , and
A. 1
mSMT   3 x  5  .
B. 2
C. 3
S
D. 4
25. Which figure does NOT contain two
similar triangles nor two congruent
triangles?
M
U
T
R
A.
What is the value of x?
A. 20
B. 34
C. 41
B.
D. 45
23. Determine the transformation that has
mapped ABC to ABC .
C.
B
B'
D.
A
A'
C'
C
A. dilation
B. reflection
C. rotation
D. translation
2009–2010
Clark County School District
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Geometry 2009–2010 Semester 2 Assessment — Released
Note: Diagrams on this exam are not necessarily drawn to scale.
26. The figures below are similar.
28. The measures of the angles of a triangle
have the ratio 1:2:3. What type of
triangle is it?
S
A. right
3
C
A
B. acute
W
6
C. obtuse
D. not a triangle
4
R
29. The perimeter of a rectangle is 300 feet.
The ratio of the length to the width is
3:2. What is the length of the rectangle?
N
8
What is the scale factor of SWA to
CNR ?
A. 30 ft
A. 3 to 8
B. 90 ft
B. 1 to 2
C. 120 ft
C. 2 to 3
D. 150 ft
D. 3 to 4
30. A student measures the height of a sign
to be 2 meters. The shadow of the sign
is 3 meters. The student notices that at
the same time a nearby tree has a
shadow of 15.6 meters.
27. Two windows are similar rectangles.
Their scale factor is 5:6. The perimeter
of the larger window is 240 inches. The
length of the sides of the smaller window
is represented by the variable
expressions in the diagram.
 6 x  3 in.
2m
 4 x  7  in.
3m
15.6 m
How tall is the tree?
What is the value of x?
A. 9
A. 5.2 m
B. 11
B. 7.8 m
C. 19
C. 10.4 m
D. 23
D. 23.4 m
2009–2010
Clark County School District
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Geometry 2009–2010 Semester 2 Assessment — Released
Note: Diagrams on this exam are not necessarily drawn to scale.
33. In triangle QRS, RT bisects QRS .
31. Matty places a mirror on flat ground,
then stands so that the top of a nearby
tree is visible in the mirror.
R
36
9
h
5 ft
Q
3 ft
7
S
y
T
12 ft
What is the value of y?
What is the height of the tree?
A.
7
4
B.
9
2
A. 15 ft
B. 20 ft
C. 36 ft
C. 14
D. 60 ft
D. 28
32. Given the triangles pictured.
34. In triangle PQR, JG QR .
U
S
Q
J
70
V
15
W
10
T
R
What measure for S would make
RST  WUV ?
R
15
G
P
x
What is the value of x?
A. 35°
B. 55°
A. 5
C. 70°
B. 6
D. 110°
C. 10
D. 30
2009–2010
Clark County School District
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Revised 07/06/2010
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Geometry 2009–2010 Semester 2 Assessment — Released
Note: Diagrams on this exam are not necessarily drawn to scale.
35. What is the geometric mean of
37. A rectangular prism has dimensions as
shown.
1
and
4
400?
A.
B
5 cm
1
16
10 cm
1
B.
2
A
15 cm
C. 10
What is the length of the diagonal from
A to B?
D. 20
36. Fred stands at corner A of a rectangular
field. He wants to walk to opposite
corner C.
A. 20 cm
B. 5 14 cm
C. 30 cm
B
A
D. 5 30 cm
38. Use the dimensions given in the diagram
below.
10 ft
D
24 ft
C
x
6
How much farther is it to walk from A
to C along the edge of the field than to
walk diagonally across the field?
A. 8 ft
17
15
B. 14 ft
C. 26 ft
D. 34 ft
What is the value of x?
A. 6.8
B. 8
C. 10
D. 23.6
2009–2010
Clark County School District
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Revised 07/06/2010
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Geometry 2009–2010 Semester 2 Assessment — Released
Note: Diagrams on this exam are not necessarily drawn to scale.
39. The three sides of a triangle are
13 meters, 5 meters and 12 meters.
What is the best description for this
triangle?
41. Use the dimensions given in the
diagram.
4 3
A. acute
B. equiangular
30º
C. obtuse
D. right
40. Use the triangle below.
y
45º
What is the value of y?
50 ft
A. 2 3
B. 6
C. 6 2
60°
D. 12
d
A. 25 ft
42. A square has diagonal length of
7 2 meters. What is the length of the
side of the square?
B. 25 2 ft
A. 7 m
C. 25 3 ft
B. 14 m
D. 100 ft
C. 7 2 m
What is the length of d?
D. 7 3 m
2009–2010
Clark County School District
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Revised 07/06/2010
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Geometry 2009–2010 Semester 2 Assessment — Released
Note: Diagrams on this exam are not necessarily drawn to scale.
43. Use the table and the dimensions given
in the diagram.
44. Use the dimensions given in the right
triangle below.
B
25
10
7
20°
A
24
C
r

20°
30°
40°
50°
sin 
.3420
.5000
.6428
.7660
cos 
.9397
.8660
.7660
.6428
What is the sine of A?
tan 
.3640
.5774
.8391
1.1918
A.
7
24
B.
7
25
C.
24
25
D.
24
7
What is the value of r?
A. 3.42
B. 3.64
C. 8.66
D. 9.40
45. Use the table and the dimensions given
in the diagram below.
Angle of descent
3.6 miles
10 miles

20°
30°
40°
50°
sin 
.3420
.5000
.6428
.7660
cos 
.9397
.8660
.7660
.6428
tan 
.3640
.5774
.8391
1.1918
What is the airplane’s approximate
angle of descent?
A. 20°
B. 30°
C. 40°
D. 50°
2009–2010
Clark County School District
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Geometry 2009–2010 Semester 2 Assessment — Released
Note: Diagrams on this exam are not necessarily drawn to scale.
46. Use the dimensions given in the
diagram.
47. Use the table and the dimensions given
in the diagram below.
B
57°
q
100 ft
A
65
C
30°
d
Which equation would be used to find
the distance q from point A to point B?

B. q 
sin 
.3420
.5000
.6428
.7660
20°
30°
40°
50°
65
A. q 
sin 57
65
tan 57
cos 
.9397
.8660
.7660
.6428
tan 
.3640
.5774
.8391
1.1918
What is the approximate ground
distance d in feet?
C. q  65sin 57
D. q  65 tan 57
A. 77 ft
B. 87 ft
C. 93 ft
D. 115 ft
48. In the figure, AB is tangent to circle D
at A, and CB is tangent to circle D at C.
A
B
13
D
5
C
What is the value of BC?
A. 3
B. 5
C. 12
D. 13
2009–2010
Clark County School District
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Revised 07/06/2010
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Geometry 2009–2010 Semester 2 Assessment — Released
Note: Diagrams on this exam are not necessarily drawn to scale.
49. In circle D, MN is tangent to circle D at
N and MP is tangent to circle D at P.
50. In the figure below, AB is tangent to the
circle at A and BD is a secant.
N
2x + 5
A
x
10
M
D
C
B
4m
21 m
4x – 5
D
P
What is the value of x?
What is the length of MP ?
A. 9 m
A. 12
B. 10 m
B. 15
C. 25 m
C. 20
D. 100 m
D. 24
2009–2010
Clark County School District
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Geometry 2009–2010 Semester 2 Assessment — Released
Free Response
1. Given ABC with altitude CD and right angle C, make a diagram and explain why
ADC CDB.
2009–2010
Clark County School District
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Revised 07/06/2010
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Geometry 2009–2010 Semester 2 Assessment — Released
Free Response
2. The diagonal of a rectangle divides it into two 30º-60º-90º triangles. The diagonal has a length of
16 inches. What is the area of the rectangle? (Give the answer in simplest radical form.)
3. What is the area of a regular hexagon with a radius of 8 cm? (Give the answer in simplest radical
form.)
2009–2010
Clark County School District
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Revised 07/06/2010
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