Obsolete Geometry Semester 2 Exam Compilation
2008–2011
The 2008 to 2012 Geometry and Geometry Honors practice semester exams are no longer available in
the CPD Mathematics folder in Interact. However, teachers can use the Geometry Compilation
documents for extra practice problems in their daily lesson. These documents are made up of previous
years’ practice semester exams and released semester exams. Each objective is made up of four
problems that have been compiled from practice exams created in 2008 and the released exams from
June of 2009, 2010, and 2011.
These problems are not intended to be used as study guides for this year’s Geometry semester exams as
they sometimes do not align to the district’s newly adopted Common Core State Standards for
Geometry. Instead, teachers are encouraged to use this resource to provide students with more practice
of a specific skill or as a long term memory review tool.
Each set of four problems begins with the district syllabus objective (now obsolete), then is followed by
a problem from the 2008 practice test, one problem from the released 2009 semester exam, one problem
from the released 2010 semester exam and one problem for the released 2011 semester exam.
In order to identify which year each problem comes from, the number after the dash will specify the
origin of that problem. For example, #17 will begin with the syllabus objective in bold letters then will
be followed by four problems: (17-8), (17-9), (17-10) and (17-11). The number after the dash indicates
the year that problem was created and used. (17-8) is #17 from the 2008 practice test, (17-9) is #17
from the released 2009 semester exam etc.
New Geometry practice problems that align to the CCSS Geometry standards will be posted soon in
interact.
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(1) 8.2 Solve problems using perimeters or areas of geometric figures.
(1-8) A tire has a radius of 15 inches. What is the approximate circumference, in inches, of the
tire?
(A) 47 in
(B) 94 in
(C) 188 in
(D) 707 in
(1-9) A circular steering wheel has a radius of 7 inches. What is the approximate circumference of
the steering wheel in inches?
(A) 22 inches
(B) 44 inches
(C) 88 inches
(D) 154 inches
(1-10) A circular pond has a radius of 14 feet. Find the approximate circumference of the pond.
(A) 44 ft
(B) 88 ft
(C) 196 ft
(D) 615 ft
(1-11) A circle has a circumference of 36π centimeters. What is the radius of the circle?
(A) 6 cm
(B) 12 cm
(C) 18 cm
(D) 36 cm
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(2) 8.2 Solve problems using perimeters or
(2-10) In the figure, the adjacent sides of the
areas of geometric figures.
polygon are perpendicular.
(2-8) In the figure below, adjacent sides of
the polygon are perpendicular.
7
15
7
8
12
7
15
15
6
26
What is the perimeter of the figure?
What is the perimeter of the figure?
(A) 27 units
(A) 77
(B) 41 units
(B) 82
(C) 50 units
(C) 89
(D) 54 units
(D) 96
(2-11) In the figure below, the adjacent sides
of the polygon are perpendicular.
(2-9) In the figure, the adjacent sides of the
polygon are perpendicular.
27
16 cm
7
13
11
What is the perimeter of the figure?
(A) 58
28 cm
What is the perimeter of the polygon?
(B) 77
(A) 93 cm
(C) 80
(B) 109 cm
(D) 91
(C) 116 cm
(D) 121 cm
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(3) 8.3 Solve real world problems of
perimeter and area.
(3-8) The length of a rectangular patio is
32 feet. Its area is 800 square feet.
What is the perimeter of the patio in
feet?
(A) 25 ft
(B) 57 ft
(C) 114 ft
(D) 368 ft
(3-9) The length of a rectangular garden is
60 feet. Its area is 2400 square feet.
What is the perimeter of the garden in
feet?
(A) 100 feet
(B) 200 feet
(C) 2440 feet
(D) 2460 feet
(3-10) 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
(3-11) Determine the area of the right
triangular garden.
13 m
5m
(A) 18 m2
(B) 30 m2
(C) 60 m2
(D)
65 m2
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(4) 8.3 Solve real world problems of
(4-9) A square flower garden is to be edged
perimeter and area.
with decorative brick as shown by the
shaded regions in the figure.
(4-8) A rectangular garden is to be edged
with decorative brick as shown by the
shaded region in the figure. The flower
garden is 4 feet by 12 feet. The
trapezoids are
2 feet high.
The flower garden is 12 feet by 12 feet.
The shaded regions are 2 feet high and
the outer edges parallel to the square
are 8 feet long.
8 ft
8 ft
2 ft
2 ft
12 ft
4 ft
12 ft
What is the area of the decorative edge
(the shaded region) in square feet?
(A) 20 ft2
What is the area of the decorative edge
(the shaded region) in square feet?
2
(B) 26 ft
(C) 40 ft2
(A) 22 ft2
(D) 48 ft2
(B) 80 ft2
(C) 144 ft2
(D)
192 ft2
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(4-10) A rectangular flower garden is
(4-11) A framed picture is shown below.
surrounded by a grass border as shown.
The grass border is 5 meters wide on
all sides of the flower garden and the
2 in
outer dimensions of the border are 50
meters by 40 meters.
12 in
5m
Grass
16 in
50 m
What is the area of the picture (without
the frame)?
(A) 60 in2
5m
5m
40 m
(B) 80 in2
(C) 96 in2
(D) 192 in2
Determine the area of the grass border.
2
(A) 90 m
2
(B) 425 m
2
(C) 800 m
2
(D) 1200 m
3 in
2 in
5m
Flower
Garden
3 in
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(5) 9.1 Compare attributes of various
(5-10) What is the best description of VA in
geometric solids.
relation to the pyramid?
(5-8) Given the figure below:
V
V
A
A
D
F
H
B
D
F
H
B
C
C
(A) base edge
What is the best description of VF ?
(B) height
(A) altitude
(C) lateral edge
(B) base edge
(D) slant height
(C) lateral edge
(5-11) What is the best description of DC in
relation to the pyramid?
(D) slant height
(5-9) Given the figure below,
V
V
A
D
F
H
A
D
F
H
B
B
C
What is the best description of VH in
relation to the pyramid?
(A) base edge
(B) height
(C) lateral edge
(D) slant height
(A) base edge
(B) slant height
(C) lateral edge
(D) altitude
C
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(6) 9.2 Solve surface area and volume
(6-10) The surface area of a cylinder is given
problems of various geometric solids.
by the formula SA  2 r 2  2 rh .
(6-8) The surface area of a cylinder is 2 
(Area of Base) + (Circumference of the
Base)  height.
6 cm
2 cm
In the cylinder below, the radius is 4
centimeters and surface area is 72
square centimeters.
What is the surface area of the cylinder
above?
(A) 24π cm2
What is the height of the cylinder?
(B) 48π cm2
(A) 4 cm
(C) 72π cm2
(B) 5 cm
(D) 96π cm2
(C) 6 cm
(D) 9 cm
(6-11) The volume of a cylinder is given by
the formula V   r 2 h .
(6-9) The surface area of a cylinder is:
4 cm
2  (Area of Base) + (Circumference of
the Base)  height
3 cm
In the cylinder below, the radius is 5
centimeters and the height is 3 centimeters.
What is the volume of the cylinder?
(A) 36π cm3
(B) 48π cm3
What is the surface area of the cylinder
in terms of π?
(A) 30π cm2
(B) 50π cm2
(C) 75π cm2
(D) 80π cm2
(C) 72π cm3
(D)
192π cm3
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(7-10) The volume of the rectangular pyramid
(7) 9.2 Solve surface area and volume
below is given by the formula
problems of various geometric solids.
BH
.
V
(7-8) A regular pyramid has height of 6
3
inches and the measure of the base
edge is 7 inches.
Volume =
1
 (Area of Base) 
3
6 in
height
4 in
8 in
What is the volume of the pyramid?
6 in
(A) 64 in3
(B) 72 in3
7 in
(C) 128 in3
What is the volume of the pyramid?
(D) 192 in3
(A) 49 in3
(7-11) The surface area of a square pyramid is
1
given by the formula SA  B  P .
2
(B) 98 in3
(C) 147 in3
(D) 294 in3
(7-9) A square pyramid has height of
4 inches and the measure of the base
1
edge is 6 inches. Volume =
 (Area
3
of Base)  height
12 cm
13 cm
5 cm
What is the surface area of the
pyramid?
4 in
(A) 285 cm2
(B) 300 cm2
6 in
(C) 340 cm2
(D)
What is the volume of the pyramid?
(A) 16 in3
(B) 48 in3
(C) 96 in3
(D) 144 in3
360 cm2
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(8-10) The volume of a cone is given by the
(8) 9.2 Solve surface area and volume
problems of various geometric solids.
 r2H
formula V 
.
3
(8-8) What is the volume of the cone below?
Volume =
1
 (Area of Base) 
3
height
6 ft
4 ft
12 in
What is the volume of the cone?
(A) 8π ft3
4 in
(B) 32π ft3
(A) 192π in3
(C) 48π ft3
(B) 96π in3
(D) 96π ft3
(C) 64π in3
(D) 48π in3
(8-11) The surface area of a cone is given by
the formula SA   r 2   r .
(8-9) A cone has a height of 9 inches and a
radius of 3 inches.
Volume =
1
 (Area of Base) 
3
5 cm
height
4 cm
3 cm
9 in.
What is the surface area of the cone?
(A) 24π cm2
(B) 21π cm2
3 in.
What is the volume of the cone in
terms of ?
(A) 108π in3
(B) 81π in3
(C) 27π in3
(D) 18π in3
(C) 18π cm2
(D)
9π cm2
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(9) 9.3 Solve real world problems of surface
(9-10) A bubble forms a sphere with a radius
area and volume.
of 3 cm.
(9-8) A group of students wants to make a
fabric toy ball to donate to the canine
rescue. The diameter of the ball is 3
inches.
Surface area = 4  (Area of a Great
Circle).
V
4 3
r
3
What is the volume of air inside the bubble?
(A) 12π cm3
(B) 24π cm3
(C) 36π cm3
(D) 108π cm3
Approximately how many square
inches of fabric will they need for each
ball?
(9-11) A small spherical ball has a diameter of
6 centimeters. What is the surface area
of the ball?
SA  4 r 2
(A) 29 in2
(A) 144π cm2
(B) 57 in2
(B) 48π cm2
(C) 76 in2
(C) 36π cm2
(D) 114 in2
(D)
(9-9) The diameter of a softball is
approximately four inches.
Surface area of a Sphere = 4  (Area
of a Great Circle)
Approximately how many square
inches of leather are needed to cover
the ball?
(A) 15 in2
(B) 50 in2
(C) 85 in2
(D) 250 in2
24π cm2
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(10) 9.3 Solve real world problems of surface
(10-10) A box of sugar in the shape of a
area and volume.
rectangular prism measures 6 inches by
(10-8) A cereal box is 18 inches by 3 inches
by 12 inches. After breakfast, the box
is one-third full.
2 inches by 10 inches. After some
2
sugar is used, the box is
full.
3
Volume = (Area of Base)  height
How many cubic inches of cereal are
left inside?
(A) 36 in
3
(B) 72 in
3
How many cubic inches of sugar
were used?
(A) 12 in3
(B) 18 in3
(C) 216 in
3
(D) 648 in
3
(10-9) A cereal box is 10 inches by 2 inches
by 15 inches. After breakfast, the box
is half full.
(C) 40 in3
(D) 80 in3
(10-11) Water is poured into a cylindrical
container until it is half full.
V   r 2h
4 cm
10 cm
What is the volume of the water?
How many cubic inches of cereal are
left inside?
(A) 75 in3
(B) 150 in3
(C) 300 in3
(D) 600 in3
(A) 14π cm3
(B) 20π cm3
(C) 80π cm3
(D) 160π cm3
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(11) 9.4 Solve area and volume problems of
(11-10) Two similar nonagons have a scale
similar two and three dimensional figures.
factor of 5:3. The smaller nonagon has
(11-8) Two similar rectangular prisms have a
scale factor of 4:1. The smaller prism
has a volume of 6 cubic centimeters.
What is the volume of the larger prism
in cubic centimeters?
an area of 90 m 2 .
What is the area of the larger nonagon?
(A) 19 m2
(A) 24 cm3
(B) 30 m2
(B) 96 cm3
(C) 150 m2
(C) 384 cm3
(D) 250 m2
(D) 1536 cm3
(11-9) Two similar rectangular prisms have a
scale factor of 3:1. The larger prism
has a volume of 135 cubic centimeters.
What is the volume of the smaller
prism in cubic centimeters?
(A) 5 cm3
(B) 15 cm3
(C) 25 cm3
(D) 45 cm3
(11-11) Two similar pentagons have a scale
factor of 3:4. The larger pentagon has
an area of 32 square feet.
What is the area of the smaller
pentagon?
(A) 8 ft2
(B) 12 ft2
(C) 18 ft2
(D) 24 ft2
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(12) 9.4 Solve area and volume problems of
(12-10) A pizza parlor has two different sizes
similar two and three dimensional figures.
of pizza. The smaller one has a
diameter of 12 inches and the larger
one has a diameter of 16 inches.
(12-8) A pizza parlor has two different sizes
of circular pizzas. The smaller one has
a diameter of 12 inches and the larger
one has a diameter of 20 inches. What
is the ratio of their areas?
(A) 9:25
16 in.
12 in.
(B) 3:5
(C) 2 3 : 2 5
(D)
6 : 10
(12-9) A pizza parlor has two different sizes
of pizza. The smaller one has a
diameter of 10 inches and the larger
one has a diameter of 18 inches. What
is the ratio of their areas?
(A)
5 :3
(B)
10 : 3 2
(C) 5: 9
(D) 25:81
What is the ratio of the area of the
smaller pizza to the area of the larger
pizza?
(A)
3 :2
(B) 6 : 2 2
(C) 3:4
(D) 9:16
(12-11) A pizza parlor has two different sizes
of pizza. The smaller one has a
diameter of 10 inches and the larger
one has a diameter of 16 inches.
10 in.
16 in.
What is the ratio of the area of the
smaller pizza to the area of the larger
pizza?
(A) 5:8
(B) 10:16
(C) 25:64
(D) 125:512
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(13) 10.1 Differentiate among the terms
(13-11) Which accurately describes a radius?
relating to a circle.
(A) A line that intersects a circle at two
(13-8) Which accurately describes a tangent?
points.
(A) A segment whose endpoints are on the
circle.
(B) A line that intersects a circle at exactly
one point.
(B) A line that intersects a circle in two
points and passes through the center of
the circle.
(C) A segment whose endpoints are points
on the circle.
(C) A segment having an endpoint on the
circle and an endpoint at the center of
the circle.
(D) A line that intersects a circle at exactly
one point.
(13-9) Which accurately describes a secant?
(A) A line that intersects a circle at two
points.
(B) A segment whose endpoints are on the
circle.
(C) A segment having an endpoint on the
circle and an endpoint at the center of
the circle.
(D) A line that intersects a circle at exactly
one point.
(13-10) Which accurately describes a chord?
(A) A segment whose endpoints are points
on the circle.
(B) A segment having an endpoint on the
circle and an endpoint at the center of
the circle.
(C) A line that intersects a circle at two
points.
(D) A line that intersects a circle at exactly
one point.
(D) A segment having an endpoint on the
circle and an endpoint at the center of
the circle.
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(14) 10.1 Differentiate among the terms
(14-10) Use the figure.
relating to a circle.
(14-8) Use the figure below.
E
C
G
B
E
C
G
A
B
D
Which represents a tangent?
A
D
Which of the following represent a
secant?
(A) AD
(B) AG
(C) AC
(D) BE
(A) AG
(B) BE
(14-11) Use circle C.
(C) CA
(D) DA
(14-9) Use the figure below.
E
C
B
A
E
C
G
B
Which is a diameter?
A
Which represents a chord?
D
(A) AD
(B) AG
(A) CA
(C) BC
(B) BC
(D) BE
(C) AD
(D) AG
G
D
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(15) 10.2 Solve problems involving angles,
(15-10) Use circle O.
arcs, or sectors of circles.
P
(15-8) In circle S below,
Q
P
O
32°
Q
38º
S
T
R
T
Since mTRQ  38 , what is
mTPQ ?
R
The mQPT  32 , what is the
measure of QRT ?
(A) 19°
(B) 38°
(A) 16°
(C) 42°
(B) 32°
(D) 76°
(C) 64°
(15-11) Use circle O.
(D) 128°
P
(15-9) Use circle O below.
P
Q
Q
82°
O
86°
O
T
R
T
R
Since mPQR  86 , what is the
measure of PTR ?
(A) 43°
(B) 86°
(C) 90°
(D) 172°
Given mRQP  82 , what is mRTP ?
(A) 41°
(B) 82°
(C) 98°
(D) 164°
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(16) 10.2 Solve problems involving angles,
(16-10) Use circle J.
arcs, or sectors of circles.
 x  15 
L
(16-8) In circle J below,
156°
 2 x  12 
L
K
J
J
K
What is the value of x?
What is the value of x?
(A) 78
(A) 3
(B) 54
(B) 9
(C) 50
(C) 27
(D) 27
(D) 29
(16-9) Use circle J below.
(16-11) Use circle J.
L
L
 5x  15 
J
166°
120
J
K
K
What is the value of x?
(A) 47
What is the value of x?
(B) 81
(C) 85
(A) 9
(D) 92
(B) 21
(C) 27
(D) 45
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(17) 10.3 Solve problems involving arcs,
mJK   x  9  
(17-10) In circle N,
,
chords, and radii of a circle.
mJHK   2 x  
mLM  36 , and
.
m XY   7 x  9  
K
(17-8) In
,
,
K
J
mWZ  3  2 x  15  
, and
mXLY  148 .
W
H
X
K
N
L
M
Y
L
Z
What is the value of x?
What is the value of x?
(A) 9
(A) 20
(B) 15
(B) 54
(C) 16
(C) 131
(D) 45
(D) 350
m RS   2 x  9  
(17-9) In P ,
,
mTU   x  7  
, and mRQS  32 .
(17-11) In circle N, mJM   6 x  5   ,
mKL  10 x  3  , and
mKHL  140 .
K
J
H
N
M
L
What is the value of x?
(A) 16
What is the value of x?
(B) 24
(A) 8.25
(C) 48
(B) 9.25
(D) 62
(C) 17
(D) 18
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(18) 10.3 Solve problems involving arcs,
(18-10) In the figure below, mH  15 and
chords, and radii of a circle.
mMN  160 .
(18-8) In the figure below, mBC  75 and
M
m AD  135 ,
J
H
L
A
B
P
Q
K
R
N
C
What is the mJK ?
D
(A) 95°
What is mP ?
(B) 130°
(A) 15
(C) 145°
(B) 30
(D) 175°
(C) 45
(18-11) In the figure below, mJK  66 and
mMN  128 .
(D) 60
(18-9) In the figure below, mH  13 and
M
mMN  150 ,
J
H
L
M
J
H
L
K
N
K
What is mH ?
N
What is the mJK ?
(A) 31°
(B) 62°
(A) 88
(C) 64°
(B) 101
(D) 97°
(C) 124
(D) 176
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(19) 10.4 Explore relationships among circles
(19-10) Two tangents are drawn from point D
and external lines or rays.
to circle A.
(19-8) Two tangents are drawn from point P
to circle H.
C
N
A
H
D
P
B
What conclusion is guaranteed by this
diagram?
R
What conclusion is guaranteed by this
diagram?
(A) ABC is a right triangle.
(B) BCD is a right triangle.
1
mNR  mNPR
(A) 2
(B) ΔHNR is a right triangle.
(C) AD = CD
(D) BD = CD
(C) HNPR is a rhombus.
(19-11) Two tangents are drawn from point D
to circle A.
(D) HNPR is a kite.
(19-9) Two tangents are drawn from point D
to circle A.
C
C
A
A
D
D
B
B
What conclusion is guaranteed by this
diagram?
1
mBC  mBDC
(A) 2
(B) ΔABC is a right triangle
(C) BC = BD
(D) ΔBCD is an isosceles triangle
What conclusion is guaranteed by this
diagram?
(A) AD = BD
(B) AC = DC
1
mBC  mBDC
(C) 2
(D)  ABD is a right triangle.
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(20-10) All segments shown in the figure
(20) 10.4 Explore relationships among circles
below are tangent to circle A. M is the
and external lines or rays.
midpoint of XZ .
(20-8) All of the segments shown in the figure
below are tangents to N .
Y
B
5
T
A
10 cm
6 cm
N
W
A
U
3 cm
4 cm
D
C
V
Given the measures in the figure
above, what is the perimeter of
quadrilateral ABCD?
X
3
Given the measures in the figure, what
is the perimeter of XYZ ?
(A) 23 cm
(A) 20 units
(B) 40 cm
(B) 22 units
(C) 46 cm
(C) 24 units
(D) 52 cm
(D) 26 units
(20-9) All of the segments shown in the figure
below are tangents to K .
Z
M
(20-11) Points B, D, F, and H are points of
tangency to circle J. AB = 17, CE = 42,
EG = 23, and GA = 29.
G
5 cm
A
x
C
C
17
8 cm
D
B
2 cm
3 cm
I
E
29
H
J
42
D
F
H
Given the measures in the figure
above, what is the perimeter of
quadrilateral AGHI?
B
A
K
G
E
23
What is the value of x?
(A) 18 cm
(A) 14
(B) 26 cm
(B) 17
(C) 31 cm
(C) 25
(D) 36 cm
(D) 31
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(21) 10.5 Solve problems involving properties
(21-10) In circle D, DS = DV, ST = 3x + 7, and
of circles using algebraic techniques.
UW = x + 4.
(21-8) In K , NK  3 x  4 , KW  5 x  8 ,
SA  5 x  4 , and KN  KW .
T
S
W
R
R
D
N
C
A
U
K
W
V
What is the value of x?
(A) –3
S
(B) −2.5
What is CN?
(A) 6
(C) −2
(B) 13
(D) −1.5
(C) 22
(21-11) In circle C, UW = XZ, VW = 2x + 14,
and XY = 6x + 2.
(D) 26
(21-9) In A , CD  FE , CH  4 x  2 , and
FE  6 x  10 .
W
V
X
U
E
C
Y
G
F
Z
C
A
H
What is the value of x?
(A) 5
D
What is the value of x?
(A) –4
(B) –3
(C) 3
(D) 4
(B) 4
(C) 3
(D) 2
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(22) 10.5 Solve problems involving properties
(22-10) SR is a diameter of circle M.
of circles using algebraic techniques.
mRMT  x  5  ,
(22-8) CK is the diameter of
O,
mJC   19 x   , and


mUMR   x  10  , and
mSMT   3 x  5  .
mJK   9( x  2)  6   .
S
C
M
O
U
J
T
L
R
K
What is the value of x?
What is the value of x?
(A) 20
4
(A) 5
5
(B) 6
(B) 34
(C) 41
(D) 45
(C) 4
(22-11) WY is a diameter of circle C.
mZCY   2 x  10  ,
(D) 6
(22-9) SR is the diameter of M ,
mRMT   x  15  ,
mUMR   3 x  15  ,
and mSMT   4 x  10  .
mWCZ   4 x 10  , and
mYCX   2 x  4  .
Y
X
Z
S
C
M
U
W
T
R
What is the value of x?
What is the value of x?
(A) 22
(A) 35
(B) 30
(B) 25
(C) 32.5
(C) 20
(D) 43.5
(D) 5
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(23) 11.1 Distinguish among the basic
(23-10) Determine the transformation that has
mapping functions: dilations, reflections,
mapped ABC to ABC .
translations, and rotations.
B
(23-8) Determine the transformation that has
mapped Δ ABC to Δ ABC .
A
B'
A
A'
B
'
B
C
A
'
C
'
(A) dilation
C'
C
(A) dilation
(B) reflection
(B) reflection
(C) rotation
(C) rotation
(D) translation
(D) translation
(23-11) Determine the single transformation
that has mapped  ABC to  ABC  .
(23-9) Given the figure below:
A
A
C
A'
A′
B
C'
B
C
B'
C′
B′
What transformation mapped Δ ABC
to Δ ABC ?
(A) translation
(B) rotation
(A) reflection
(C) dilation
(B) rotation
(D) reflection
(C) translation
(D) dilation
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(24) 11.4 Differentiate between examples of
each type of symmetry.
(24-8) How many lines of symmetry does a
square have?
(A) 0
(B) 1
(C) 2
(D) 4
(24-9) How many lines of symmetry does a
rectangle have?
(A) 0
(B) 1
(C) 2
(D) 4
(24-10) How many lines of symmetry does an
equilateral triangle have?
(A) 1
(B) 2
(C) 3
(D) 4
(24-11) How many lines of symmetry does a
square have?
(A) 0
(B) 1
(C) 2
(D) 4
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(25-10) Which figure does NOT contain two
(25) 6.1 Differentiate between similar and
similar triangles nor two congruent
congruent.
triangles?
(25-8) Which figure contains two similar
triangles that are not congruent?
(A)
(A)
(B)
(B)
(C)
(D)
(C)
(25-11) Which pair of figures is similar but
NOT congruent?
8
(D)
3
(A)
(25-9) Which figure contains two congruent
triangles?
16
6
(B)
30°
3
8
(A)
3
(B)
(C)
(D)
8
(C)
(D)
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(26-10) The figures below are similar.
(26) 6.2 Determine scale ratios and write
appropriate proportions.
S
(26-8) The following figures are similar.
3
W
X
C
A
W
6
32
4
Z
56
Y
A
R
B
What is the scale factor of SWA to
CNR ?
24
D
42
N
8
C
(A) 3 to 8
What is the scale factor of WXYZ to
ABCD?
(B) 1 to 2
(C) 2 to 3
(A) 1 to 2
(D) 3 to 4
(B) 3 to 1
(26-11) The figures below are similar.
(C) 3 to 2
(D) 4 to 3
C
3
D
3
(26-9) The following figures are similar.
3
B
W
V
E
X
4
6
6
24
4
Z
W
2
Z
48
A
A
Y
B
16
32
C
What is the scale factor of WXYZ to
ABCD?
(A) 3 to 2
(B) 3 to 1
(C) 4 to 3
(D) 1 to 2
2
2
X
What is the scale factor of ABCDE to
VWXYZ?
(A) 3:2
(B) 3:6
D
Y
(C) 4:2
(D) 4:3
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(27) 6.4 Solve proportion problems using
(27-10) Two windows are similar rectangles.
algebraic techniques.
Their scale factor is 5:6. The perimeter
(27-8) Two plasma screen TVs are similar
rectangles. Their scale factor is 8:5.
The perimeter of the smaller TV is 70
inches. The lengths of the sides of the
larger TV are represented by the
variable expressions shown in the
diagram below.
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.
 4 x  7  in.
(3x – 4) in
(2x) in
What is the value of x?
(A) 9
What is the value of x?
(B) 11
(A) 8
(C) 19
(B) 12
(D) 23
(C) 16
(D) 24
(27-9) Two gardens are similar rectangles.
Their scale factor is 3:1. The perimeter
of the smaller garden is 40 feet. The
lengths of the sides of the larger garden
are represented by the variable
expressions shown in the diagram
below.
(27-11) Two windows are similar rectangles.
Their scale factor is 3:4. The width of
the smaller window is 60 centimeters
and the perimeter of the larger window
is
400 centimeters.
x
60 cm
P = 400 cm
x + 10
x
What is the length x?
(A) 45 cm
What is the value of x?
(B) 80 cm
(A) 5
(C) 90 cm
(B) 15
(D) 100 cm
(C) 25
(D) 55
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(28) 6.4 Solve proportion problems using
algebraic techniques.
(28-8) The measures of the angles of a
triangle have the ratio 4:6:7. What
type of triangle is it?
(A) acute
(B) isosceles
(C) obtuse
(D) right
(28-9) The measures of the angles of a
triangle have the ratio 2:3:7. What
type of triangle is it?
(A) obtuse
(B) isosceles
(C) acute
(D) right
(28-10) The measures of the angles of a
triangle have the ratio 1:2:3. What
type of triangle is it?
(A) right
(B) acute
(C) obtuse
(D) not a triangle
(28-11) The measures of the angles of a
triangle have the ratio 1:3:5. What is
the measure of the largest angle?
(A) 50°
(B) 60°
(C) 90°
(D) 100°
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(29) 6.4 Solve proportion problems using
algebraic techniques.
(29-8) The perimeter of a right triangle is
90 feet. The ratio of the legs is 5:12.
What is the length of the longest leg of
the triangle?
(A) 12 ft
(B) 32 ft
(C) 36 ft
(D) 90 ft
(29-9) The perimeter of a rectangle is 48 feet.
The ratio of the width to the length is
1:5. What is the width of the
rectangle?
(A) 4 ft
(B) 6 ft
(C) 8 ft
(D) 10 ft
(29-10) 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?
(A) 30 ft
(B) 90 ft
(C) 120 ft
(D) 150 ft
(29-11) A pipe that is 8 feet long is cut into two
pieces whose lengths are in the ratio
1:3. What is the length of the longer
piece?
(A) 3 ft
(B) 4 ft
(C) 6 ft
(D) 7 ft
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(30) 6.5 Formulate and solve real world
(30-10) A student measures the height of a sign
problems using similar triangles.
to be 2 meters. The shadow of the sign
(30-8) Pat measures the length of the shadow
of a tree to be 54 feet long. At the
same time he measures his own
shadow to be 12 feet long and his
height to be 5 feet. How tall is the tree
in feet?
27
(A)
is 3 meters. The student notices that at
the same time a nearby tree has a
shadow of 15.6 meters.
1
2 feet
2m
3m
(B) 25 feet
15.6 m
1
22
2 feet
(C)
(D) 20 feet
(30-9) Mort measures the length of the
shadow of a tree to be 35 feet long. At
the same time his shadow measures 10
feet long and his height is 6 feet. How
many feet tall is the tree?
(A) 58 ft
(B) 32 ft
(C) 21 ft
(D) 18 ft
How tall is the tree?
(A) 5.2 m
(B) 7.8 m
(C) 10.4 m
(D) 23.4 m
(30-11) A student notices that the shadows of a
sign and a tree lie along the same line
and end at the same point. The height
of the sign is 2 meters and its shadow
is 3 meters in length. The distance
from the base of the sign to the base of
the tree is 12 meters.
2m
3m
12 m
How tall is the tree?
(A) 8 m
(B) 10 m
(C) 11 m
(D) 14 m
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
What is the height h of the flagpole in
(31) 6.5 Formulate and solve real world
feet?
problems using similar triangles.
(31-8) Kris places a mirror on the ground.
She stands so that she can see the
reflection of the top of a flagpole in the
mirror.
(A) 12 ft
(B) 22 ft
(C) 33 ft
(D) 66 ft
G
h
(31-10) Matty places a mirror on flat ground,
then stands so that the top of a nearby
tree is visible in the mirror.
2m
3m
15 m
What is the height h of the flagpole in
meters?
h
5 ft
(A) 10 m
3 ft
(B) 12 m
(C) 18 m
12 ft
What is the height of the tree?
(D) 20 m
(A) 15 ft
(31-9) Bernard places a mirror on the ground
and then stands so that he can see the
reflection of the top of a flagpole in the
mirror.
(B) 20 ft
(C) 36 ft
(D) 60 ft
(31-11) As shown in the figure below, Jeremy
places a mirror on flat ground, then
stands so that the top of a nearby tree is
visible in the mirror.
h
h
5 ft
8 ft
32 ft
What is the height of the tree?
(A) 20 ft
(B) 29 ft
6 ft
(C) 45 ft
2 ft
11 ft
(D) 51 ft
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(32) 6.6 Prove that two triangles are similar.
(32-10) Given the triangles pictured.
(32-8) Given the two triangles pictured below.
U
S
N
J
H
6
9
L
O
(A)
1
2
T
R
What measure for S would make
RST  WUV ?
(A) 35°
1
13
2
(B)
(C) 10
(B) 55°
(C) 70°
(D) 110°
(D) 9
(32-9) Given the two triangles pictured below.
H
W
V
B
15
What measure for HJ would make
NOB LJH ?
24
70
(32-11) Use the figures below.
U
S
O
P
56°
N
30°
I
J
What measure for  N would make
HIJ NOP ?
(A) 30°
(B) 60°
(C) 90°
(D) 120°
V
R
T
What measure for W would make
 RST   WUV ?
(A) 34°
(B) 56°
(C) 68°
(D) 112°
W
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(33) 6.7 The student will explore properties of
(33-10) In triangle QRS, RT bisects QRS .
proportionality within a triangle.
(33-8) In the triangle below, BAC  CAD
B
4
C
R
36
9
z
D
Q
7
7
S
y
T
10.5
What is the value of y?
7
(A) 4
9
(B) 2
A
What is the value of z?
(A) 6
(B) 12
(C) 14
(C) 13.5
(D) 28
(D) 21.5
(33-11) In triangle QRS, RT bisects QRS .
(33-9) In the triangle below,
YXW  ZXW .
Y
3
W
R
w
4
4
Z
Q
a
6
What is the value of a?
(A) 2
(B) 2.5
(C) 4
(D) 4.5
T
What is the value of w?
(A) 7
X
3
(B) 8
(C) 9
(D) 12
6
S
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(34) 6.7 The student will explore properties of
(34-10) In triangle PQR, JG QR .
proportionality within a triangle.
(34-8) In the triangle below, RT HS .
M
Q
x
T
J
15
S
4
15
10
R
6
R
H
G
15
P
x
What is the value of x?
What is the value of x?
(A) 5
(A) 9
(B) 6
(B) 10
(C) 10
12
1
2
22
1
2
(C)
(D)
(D) 30
(34-11) In triangle PQR, JG QR .
Q
(34-9) In the triangle below, JG RQ .
J
P
9
G
x
Q
6
8
J
R
x
9
What is the value of x?
(A) 3
(B) 6
(A) 11
(C) 15
(B) 12
(D) 18
(D) 20
G
What is the value of x?
R
(C) 18
6
12
P
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(35) 7.2 Explore geometric mean relationships
within a right triangle.
(35-8) What is the geometric mean of 16 and
36?
(A) 9
(B) 10
(C) 24
(D) 26
(35-9) What is the geometric mean of 9 and
25?
(A) 14
(B) 15
(C) 16
(D) 17
(35-10) What is the geometric mean of
1
and
4
400?
1
(A) 16
1
(B) 2
(C) 10
(D) 20
(35-11) What is the geometric mean of 4 and
16?
(A) 8
(B) 10
(C)
8
(D)
20
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(36) 7.3 Solve problems using the Pythagorean
(36-10) Fred stands at corner A of a rectangular
Theorem.
field. He wants to walk to opposite
(36-8) Nan stands at the corner of the
rectangular driveway shown below.
corner C.
B
A
B
D
10 ft
21 ft
D
A
28 ft
C
How far must Nan walk diagonally
across the driveway (A to B)?
(A) 7 ft
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
(B) 14 ft
(B) 14 ft
(C) 35 ft
(C) 26 ft
(D) 49 ft
(D) 34 ft
(36-9) Gina stands at the corner of the
rectangular garden shown below.
B
D
(36-11) Fred stands at corner A of a rectangular
field. He wants to walk to the opposite
corner C.
B
A
15 ft
A
20 ft
5 yd
D
C
How much shorter in feet is it to walk
diagonally through the garden (A to B)
instead of walking around its edge (A
to C and C to B)?
(A) 7 yd
(B) 12 yd
(C) 13 yd
(B) 10 ft
(D) 17 yd
(D) 25 ft
12 yd
C
What is the shortest distance from A to
C?
(A) 5 ft
(C) 15 ft
C
24 ft
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(37) 7.3 Solve problems using the Pythagorean
(37-10) A rectangular prism has dimensions as
Theorem.
shown.
(37-8) A box is shown below.
B
5 cm
B
10 cm
A
24 in.
15 cm
What is the length of the diagonal from
A to B?
(A) 20 cm
(B) 5 14 cm
8 in.
A
6 in.
(C) 30 cm
What is AB?
(D) 5 30 cm
(A) 26 in.
(37-11) A rectangular prism has dimensions as
shown.
(B) 38 in.
(C) 2 153 in.
B
(D) 8 10 in.
(37-9) Use the dimensions given in the
diagram below.
20 cm
B
4 cm
3 cm
A
12 cm
What is the length of the diagonal from
A to B?
(A) 4 10 cm
(B)
155 cm
(C) 5 cm
(D) 13 cm
A
9 cm
12 cm
What is the length of the diagonal from
A to B?
(A) 14 cm
(B) 25 cm
(C) 32 cm
(D) 41 cm
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(38-10) Use the dimensions given in the
(38) 7.3 Solve problems using the Pythagorean
diagram below.
Theorem.
(38-8) Use the dimensions given in the
diagram below.
x
6
13
5
15
17
16
x
What is the value of x?
What is the value of x?
(A) 6.8
(A) 12
(B) 8
(B) 20
(C) 10
(C) 22
(D) 23.6
(D) 30
(38-9) Use the dimensions given in the
diagram below.
(38-11) Use the dimensions given in the
diagram below.
13
x
10
6
20
x
16
15
What is the value of x?
(A) 3
(B) 5
What is the value of x?
(A) 25
(B) 21
(C) 17
(D) 8
(C) 12
(D) 17
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(39) 7.4 Solve problems using the converse of
(39-11) The three sides of a triangle are
the Pythagorean Theorem and related
11 inches, 11 inches, and 11
theorems for obtuse or acute triangles.
inches. Which is a classification for
this triangle?
(39-8) The three sides of a triangle are 3
centimeters, 5 centimeters, and
centimeters. What is the best
description for this triangle?
7
(A) acute
(B) obtuse
(C) right
(A) acute triangle
(B) equiangular triangle
(C) obtuse triangle
(D) right triangle
(39-9) The three sides of a triangle are 5 cm,
6 cm, and 10 cm. What is the best
description for this triangle?
(A) obtuse triangle
(B) equiangular triangle
(C) acute triangle
(D) right triangle
(39-10) The three sides of a triangle are
13 meters, 5 meters and 12 meters.
What is the best description for this
triangle?
(A) acute
(B) equiangular
(C) obtuse
(D) right
(D) scalene
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(40) 7.4 Solve problems using the converse of
(40-10) Use the triangle below.
the Pythagorean Theorem and related
theorems for obtuse or acute triangles.
(40-8) A jet is flying 7 miles above the
ground. The pilot spots an airport as
shown below.
50 ft
d
7 mi
60°
d
45°
What is the distance d from the plane
to the airport?
(A) 7 2 mi
What is the length of d?
(A) 25 ft
(B) 25 2 ft
(B) 7 3 mi
(C) 25 3 ft
(C) 7 mi
(D) 100 ft
(D) 14 mi
(40-11) Use the triangle below.
(40-9) A seagull in a palm tree spots a hot dog
on the beach.
S
d
60°
60°
18
ft
60
°
H
How far is the seagull from the hot
dog?
(A) 9 ft
(B) 18 2 ft
(C) 18 3 ft
(D) 36 ft
What is the value of d ?
(A) 12
(B) 24
(C) 24 2
(D) 24 3
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(41) 7.5 Solve problems utilizing the ratios of
(41-10) Use the dimensions given in the
the sides of special right triangles.
diagram.
(41-8) Use the dimensions given in the
diagram below.
4 3
4
30º
45°
30°
y
What is the value of y?
y
(A) 4 3
(B) 2 3
45º
(C) 4 6
What is the value of y?
(D) 2 6
(41-9) Use the dimensions given in the
diagram below.
y
(C) 6 2
(D) 12
16
45°
What is the value of y?
(A) 2 3
(B) 6
30°
(41-11) Use the dimensions given in the
diagram.
(A) 8 2
y
(B) 8 3
(C) 8
45°
(D) 16
What is the value of y?
(A) 4
(B) 4 2
(C) 4 3
(D) 8
30º
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(42) 7.5 Solve problems utilizing the ratios of
(42-11) The square below has diagonal length
the sides of special right triangles.
of 5 2 meters.
(42-8) In rectangle ABCD, BD = 12 and
mABD  30 . What is the length of
the longer side of the rectangle?
(A) 6
(B) 12
(C) 6 2
(D) 6 3
(42-9) A square has a diagonal length of
12 2 inches. What is the length in
inches of a side?
(A) 3 2 in
(B) 6 in.
(C) 6 2 in.
(D) 12 in.
(42-10) A square has diagonal length of 7 2
meters. What is the length of the side
of the square?
(A) 7 m
(B) 14 m
(C) 7 2 m
(D) 7 3 m
What is the length of a side?
(A) 5 m
(B) 10 m
(C) 5 2 m
(D) 5 3 m
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(43-10) Use the table and the dimensions given
(43) 7.6 Define and apply basic trigonometric
in the diagram.
ratios of sine, cosine, and tangent.
(43-8) Use the table and the dimensions given
in the diagram below.
10
20°
50°
r
10

r

20°
30°
40°
50°
sin 
.3420
.5000
.6428
.7660
cos 
.9397
.8660
.7660
.6428
tan 
.3640
.5774
.8391
1.1918
What is the value of r?
20°
30°
40°
50°
cos 
.9397
.8660
.7660
.6428
tan 
.3640
.5774
.8391
1.1918
What is the value of r?
(A) 3.42
(B) 3.64
(A) 11.918
(C) 8.66
(B) 8.391
(D) 9.40
(C) 7.660
sin 
.3420
.5000
.6428
.7660
(43-11) Use the table and the dimensions given
in the diagram.
(D) 6.428
1000
(43-9) Use the table and the dimensions given
in the diagram below.
r
10°

10°
20°
30°
40°
r
40°
10

20°
30°
40°
50°
sin 
.3420
.5000
.6428
.7660
cos 
.9397
.8660
.7660
.6428
tan 
.3640
.5774
.8391
1.1918
What is the value of r?
(A) 6.428
(B) 7.660
(C) 8.391
(D) 11.918
sin 
.1736
.3420
.5000
.6428
cos 
.9848
.9397
.8660
.7600
tan 
.1763
.3640
.5774
.8391
What is the approximate value of r?
(A) 174
(B) 342
(C) 500
(D) 985
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(44) 7.6 Define and apply basic trigonometric
(44-10) Use the dimensions given in the right
ratios of sine, cosine, and tangent.
triangle below.
(44-8) Use the dimensions given in the right
triangle below.
B
25
B
15
7
A
9
C
24
What is the sine of A?
A
12
C
What is the cosine of A ?
9
(A) 12
9
(B) 15
7
(A) 24
7
(B) 25
24
(C) 25
24
(D) 7
12
(C) 9
12
(D) 15
(44-11) Use the dimensions given in the right
triangle below.
(44-9) Use the dimensions given in the right
triangle below.
B
13
5
B
A
10
6
A
8
C
What is the tangent of A ?
8
(A) 10
8
(B) 6
6
(C) 10
6
(D) 8
12
C
What is the tangent of B ?
5
(A) 13
5
(B) 12
13
(C) 5
12
(D) 5
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(45) 7.7 Solve problems using the
(45-10) Use the table and the dimensions given
trigonometric
in the diagram below.
(45-8) Use the table and the dimensions given
in the diagram below.
Angle of descent
3.6 miles
Angle of descent

20°
30°
40°
50°
sin 
.3420
.5000
.6428
.7660
10 miles
10 mi
3.4 mi

cos 
.9397
.8660
.7660
.6428
tan 
.3640
.5774
.8391
1.1918
What is the approximate angle of
descent?
20°
30°
40°
50°
tan 
.3640
.5774
.8391
1.1918
(A) 20°
(B) 30°
(B) 40°
(C) 40°
(C) 30°
(D) 50°
(45-9) Use the table and the dimensions given
in the diagram below.
cos 
.9397
.8660
.7660
.6428
What is the airplane’s approximate
angle of descent?
(A) 50°
(D) 20°
sin 
.3420
.5000
.6428
.7660
(45-11) Use the table and the dimensions given
in the diagram below.
Angle of descent
100 ft
10 miles
9.4 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°
64 ft


10°
20°
30°
40°
sin 
.1736
.3420
.5000
.6428
cos 
.9848
.9397
.8660
.7600
tan 
.1763
.3640
.5774
.8391
What is the kite’s approximate angle of
elevation?
(C) 40°
(A) 10°
(D) 50°
(B) 20°
(C) 30°
(D) 40°
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(46-10) Use the dimensions given in the
(46) 7.7 Solve problems using the
diagram.
trigonometric ratios.
(46-8) Use the dimensions given in the
diagram below.
B
57°
q
A
65
C
Which equation would be used to find
the distance q from point A to point B?
h
53
°
(A) h  150tan53
(B) h  150sin53
(C)
65
sin 57
q
65
tan 57
(A)
150
ft
Which equation would be used to find
the distance h from the hot air balloon
to the ground?
h
q
(B)
(C) q  65sin 57
(D) q  65 tan 57
(46-11) Use the dimensions given in the
diagram.
150
tan 53
B
150
h
sin 53
(D)
x
(46-9) Use the dimensions given in the
diagram below.
A
50°
75
C
Which equation would be used to find
the length of x?
d
120
A
47°
Which equation would be used to find
the distance d from the hot air balloon
to point A on the ground?
(A) d  120tan 47
(B) d  120sin 47
d
120
tan 47
d
120
sin 47
(C)
(D)
(A) x  75tan 50
(B) x  75sin50
x
75
tan 50
x
75
sin 50
(C)
(D)
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(47-10) Use the table and the dimensions given
(47) 7.7 Solve problems using the
in the diagram below.
trigonometric ratios.
(47-8) Use the table and the dimensions given
in the diagram below.
100 ft
30°
d

d
40°

sin 
cos 
20°
30°
40°
50°
.3420
.5000
.6428
.7660
.9397
.8660
.7660
.6428
sin 
.3420
.5000
.6428
.7660
20°
30°
40°
50°
128 ft
cos 
.9397
.8660
.7660
.6428
tan 
.3640
.5774
.8391
1.1918
tan 
.3640
.5774
.8391
1.1918
What is the approximate length d of the
kite string?
(A) 256 ft
(B) 200 ft
What is the approximate ground
distance d in feet?
(A) 77 ft
(B) 87 ft
(C) 93 ft
(D) 115 ft
(C) 168 ft
(47-11) Use the table and the dimensions given
in the diagram below.
(D) 100 ft
(47-9) Use the table and the dimensions given
in the diagram below.
h
30º
100 yd
100
ft

h
50°

20°
30°
40°
50°
sin 
.3420
.5000
.6428
.7660
cos 
.9397
.8660
.7660
.6428
tan 
.3640
.5774
.8391
1.1918
What is the approximate height h of the
kite off the ground in feet?
10°
20°
30°
40°
sin 
.1736
.3420
.5000
.6428
(A) 50 yd
(B) 58 yd
(C) 83 yd
(B) 64 feet
(D) 87 yd
(D) 120 feet
tan 
.1763
.3640
.5774
.8391
What is the approximate height h of the
structure?
(A) 50 feet
(C) 77 feet
cos 
.9848
.9397
.8660
.7600
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(48) 10.6 Solve problems involving secant
(48-10) In the figure, AB is tangent to circle
segments and tangent segments for a
D at A, and CB is tangent to circle D at
circle.
C.
(48-8) In circle D below, AB is tangent to
D at A, and CB is tangent to D at
C.
A
B
13
D
A
2x – 6
5
10
C
B
D
What is the value of BC?
(A) 3
(B) 5
C
(C) 12
What is the length of BD ?
(D) 13
(A) 14
(48-11) In circle D, AB is tangent at A, and
CB is tangent at C.
(B) 15
(C) 24
A
(D) 26
15
(48-9) In the figure below, AB is tangent to
D at A and CB is tangent to D
at C.
D
8
C
A
2x
B
3
What is the length of BD ?
(A) 23
D
8
(B) 17
(C) 16
C
Find the value of x.
(A) 2
(B) 3
(C) 4
(D) 5
(D) 15
B
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(49) 10.6 Solve problems involving secant
(49-10) In circle D, MN is tangent to circle D
segments and tangent segments for a
at N and MP is tangent to circle D at
circle.
P.
(49-8) In the figure below, AB is tangent to
N
D at A and BC is tangent to D
2x + 5
at C.
10
A
M
D
B
6
4x – 5
D
5x
P
What is the length of MP ?
C
(A) 12
What is the value of x?
(A) 2
(B) 15
(B) 3
(C) 20
(C) 4
(D) 24
(D) 5
(49-9) In circle D below, MN is tangent to
D at N and MP is tangent to D
at P.
N
3x + 6
(49-11) In circle D, AB is tangent at A, and
BC is tangent at C.
A
3x + 6
12
B
D
7
M
6x – 12
D
C
What is the value of x?
6x – 12
P
What is the length of MP ?
(A) 2
(B) 4
(A) 25
(C) 6
(B) 24
(D) 12
(C) 7
(D) 6
Obsolete Geometry Semester 2 Exam Compilation
2008–2011
(50) 10.6 Solve problems involving secant
(50-10) In the figure below, AB is tangent to
segments and tangent segments for a
the circle at A and BD is a secant.
circle.
A
(50-8) In the figure below, RP is tangent to
the circle at R and SP is a secant.
x
B
R
x
C
P
21 m
D
6 cm
V
4m
What is the value of x?
8 cm
S
(A) 9 m
(B) 10 m
What is the value of x?
(A) 48 cm
(C) 25 m
(B) 84 cm
(D) 100 m
(C) 4 3 cm
(50-11) In the figure below, AC and EC are
secants of the circle.
(D) 2 21 cm
(50-9) In the figure below, AB is tangent to
the circle at A and BD is a secant.
A
20 m
x
E
B
What is DE?
C
5 cm
x
D
What is the value of x?
(A) 2 cm
(B) 5 cm
(C) 15 cm
(D) 25 cm
C
D
A
10 cm
4m
B
(A) 15 m
(B) 18 m
(C) 29 m
(D) 32 m
3m
Geometry Semester II Exam Compilation
Free Response
2008–2011
(51) 6.6 Prove that two triangles are similar.
(51-8) Given ABC with right angle at C and altitude CD , draw the picture and explain why
ABC CBD .
(51-9) Given trapezoid TRQP with parallel sides TR and PQ . Diagonals TQ and RP intersect at
point Z. Draw the picture and explain why ZTR ZQP .
(51-10) Given ABC with altitude CD and right angle C, make a diagram and explain why
ADC CDB.
(51-11) Given kite ABCD with AB  CB and AD  CD . The diagonals intersect at point E. Draw a
diagram and explain why  AEB   CEB .
Geometry Semester II Exam Compilation
Free Response
2008–2011
(52) 7.7 Solve problems utilizing the ratios of the sides of special right triangles.
(52-8) Find the length of the altitude of an isosceles triangle with vertex angle 120  and base length
of 30 centimeters. Give answer in simplified radical form.
(52-9) The diagonal of a square divides it into two 45-45-90 triangles. The diagonal has length 10
centimeters. Find the area of the square.
(52-10) 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.)
(52-11) The diagonal of a square has length 20 2 . What is the area of the square.
Geometry Semester II Exam Compilation
Free Response
2008–2011
(53) 8.2 Solve problems using perimeters or areas of geometric figures.
(53-8) Find the area of a regular hexagon with an apothem of 9 centimeters. Give answer in
simplified radical form.
(53-9) Find the area of a regular hexagon with a side of 6 centimeters. Give the answer in simplified
radical form.
(53-10) What is the area of a regular hexagon with a radius of 8 cm? (Give the answer in simplest
radical form.)
(53-11) Compute the area of a regular hexagon with an apothem of 4 3 . Give the answer in simplest
radical form
Geometry Honors Semester II Exam Compilation
2008–2011
(1) 8.4 Solve problems involving geometric
3
probability.
(D) 4
(1-8) The figure below is a regular hexagon
with a side length of 8 centimeters.
(1-10) The figure is a regular triangle.
What is the probability that a randomly
thrown dart hitting the figure will land
in the shaded region?
What is the probability that a randomly
thrown dart will land in the shaded region?
1
(A) 6
1
(B) 3
(C)
2
3
(D)
6
9
(1-9) The figure below is a regular hexagon
with a radius of 6 centimeters.
1
(A) 6
1
(B) 3
1
(C) 2
2
(D) 3
(1-11) In EFG, H , I , and J are midpoints.
G
H
E
What is the probability that a randomly
thrown dart hitting the figure will land
in the shaded region?
1
(A) 3
1
(B) 2
2
(C) 3
K
I
J
F
If GI = 36, what is KG?
(A) 6
(B) 12
(C) 18
(D) 24
Geometry Honors Semester II Exam Compilation
2008–2011
(2-10) What is the probability that a randomly
(2) 8.4 Solve problems involving geometric
thrown dart hitting the figure will land in the
probability.
(2-8) The concentric circles below have radii
shaded region?
of 4 centimeters, 10 centimeters, and
18 centimeters.
5
What is the probability that a randomly
thrown dart will land in the white
region, assuming it hits the board?
4
(A) 81
21
(B) 81
25
(C) 81
56
(D) 81
5
5
8
(A) 9
8
(B) 9
9  8
(C) 9
8  8
(D) 9
(2-9) The concentric circles below have radii (2-11) Based on the dimensions given in the
diagram, what is the longest line segment in
of 2 centimeters, 5 centimeters, and
the diagram?
9 centimeters.
P
R
Q
70°
55°
55°
65°
60°
55°
What is the probability that a randomly
thrown dart hitting the figure will land
in the shaded region?
16
(A) 256
7
(B) 27
81
(C) 256
20
(D) 27
80°
T
60°
40°
S
(A) QS
(B) RS
(C) TQ
(D) TS
Geometry Honors Semester II Exam Compilation
2008–2011
(3-10) In the square below, all adjacent circles are
(3)
8.2 Solve problems using perimeters or
congruent, externally tangent to each other,
areas of geometric figures.
and outer circles are tangent to the square.
(3-8) In the square below, all adjacent circles are
congruent, externally tangent to each other,
and outer circles are tangent to the square.
18 cm
16 cm
What is the area of the unshaded
region?
(A)
 256  4  cm2
(B)
 256  64  cm2
(C)
 256 128  cm2
(D)
 256  256  cm2
What is the area of the shaded region in
square centimeters?
(C) (144 − 36π) cm2
(D) (144 − 144π) cm2
324  9 
(B)
324  27  cm2
(C)
 324  81  cm2
(D)
324  324 
cm2
cm2
midpoint is at M  2, 1 . What are the
coordinates of endpoint V?
12 cm
(B) (144 − 16π) cm2
(A)
(3-11) UV has an endpoint at U  7, 5 , and the
(3-9) In the square below, all adjacent circles are
congruent, externally tangent to each other,
and outer circles are tangent to the square.
(A) (144 − 4π) cm2
What is the area of the shaded region?
(A)
 12, 10
(B)
 4, 3
(C)
 3, 3
(D)
 4, 5
(4)
Geometry Honors Semester II Exam Compilation
2008–2011
(4-10) A snow cone consists of a cone and a
9.2 Solve problems involving surface areas
hemisphere. The radius of the cone is
and volumes of various geometric solids.
the same as the radius of the
(4-8) A snow cone consisting of a cone and a
hemisphere.
half-sphere is shown below. The base
of the cone is a great circle on the
sphere.
5 cm
3 cm
9 cm
4 cm
What is the volume of the snow cone?
(surface area formulas given)
What is the surface area of the threedimensional object in square
centimeters?
(A) 30π cm2
1
83 
3 cm3
(A)
1
108 
3 cm3
(B)
1
158 
3 cm3
(C)
(B) 33π cm2
(C) 39π cm2
(D) 42π cm2
(4-9) A snow cone consisting of a cone and a
half-sphere is shown below. The base
of the cone is a great circle on the
sphere.
1
291 
3 cm3
(D)
(4-11) Rectangle MHRG has vertices
M  5, 2 H 1, 10  R  5, 7 
G  1, 1
(A)
15
(B)
81
(surface area formulas given)
(C)
125
What is the volume of the snow cone in
cubic centimeters?
(D)
181
5 cm
(B) 48 cm3
(C) 54 cm3
(D) 72 cm3
,
, and
. What is the length of
diagonal MR ?
3 cm
(A) 30 cm3
,
(5)
Geometry Honors Semester II Exam Compilation
2008–2011
9.3 Solve real world problems of surface
(5-10) A 2-inch piece of plastic pipe is in the
area and volume.
shape of a cylinder with a cylindrical
(5-8) A glass block is in the shape of a
rectangular prism. It has a hole passing
through it also in the shape of a
rectangular prism.
hole passing through it. The outside
diameter is one inch; the inside
3
diameter is
inches.
4
D
2 in.
A
B
9 in.
14 in.
C
AC = 1 in.
2 in.
BD =
in.
6 in.
18 in.
What is the volume of glass needed in
cubic inches?
(A) 80 in3
(B) 252 in
What is the volume of the plastic
material?
3
7

(A) 64 in3
(C) 720 in3
(D) 972 in3
(5-9) A cinder block is in the shape of a
rectangular prism. It has a hole passing
through it also in the shape of a
rectangular prism.
2 cm
8 cm
10 cm
5 cm
12 cm
What is the volume of material needed
in cubic centimeters?
(A) 160 cm3
(B) 440 cm3
(C) 600 cm3
(D) 760 cm3
7

(B) 32 in3
1

(C) 4 in3
7

(D) 8 in3
(5-11) In an indirect proof, after assuming the
opposite of the “Proof Statement”
(conclusion), the next step in the
process is to
(A) find a contradiction
(B) prove the false assumption
(C) prove the given information
(D) use CPCTC
(6)
Geometry Honors Semester II Exam Compilation
2008–2011
8.2 Solve problems using perimeters or
(6-10) Use the dimensions given in the
areas of geometric figures.
diagram of an isosceles trapezoid.
(6-8) Use the dimensions given in the
diagram of an isosceles trapezoid
below.
7 ft
120º
10
13 ft
135°
15
What is the area of the trapezoid?
(6-11) To begin an indirect proof, an initial
assumption is made. If one were trying
to prove that x = 9, what should be the
initial assumption?
(A) x = 9
(6-9) Use the dimensions given in the
diagram of an isosceles trapezoid
below.
8 cm
60°
12 cm
What is the area of the trapezoid in
square centimeters?
(C) 20 cm2
(D) 40 cm2
(B) 30 2 ft2
(D) 60 ft2
125
(C) 4
125
(D) 2
(B) 40 3 cm2
(A) 30 ft2
(C) 30 3 ft2
(A) 125 2
125
2
(B) 2
(A) 20 3 cm2
What is the area of the trapezoid?
(B) x < 9
(C) x > 9
(D) x  9
(7)
Geometry Honors Semester II Exam Compilation
2008–2011
7.7 Define and apply basic trigonometric
(7-11) In the diagram, which coordinates
ratios of sine, cosine, and tangent.
would result in a kite?
(7-8) Given a 30°-60°-90° triangle, what is
the cosine of the 60° angle?
1
(A) 2
(B)
3
2
(C)
3
3
(D)
3
(7-9) Given a 30°-60°-90° triangle, what is
the tangent of the 30° angle?
1
(A) 2
(B)
3
(C)
3
2
(D)
3
3
(7-10) Given a 45º-45º-90º triangle, what is
the sine of the 45º angle?
1
(A) 2
(B)
(C) 1
(D)
2
2
2
(A)
10, 1
(B)
9, 2
(C)
 7, 11
(D)
 6, 5
(8)
Geometry Honors Semester II Exam Compilation
2008–2011
2
10.8 Graph a circle and determine its
(8-11) The nth term of a sequence is  3n  1 . If
equation.
the value of a term is 400, what is the next
term?
(8-8) A circle with a point  3, 2 is
(A) 8
centered at  5, 4  . What is the
(B) 289
equation of the circle?
(C) 409
2
2
 x  5   y  4   41
(D) 529
(A)
2
(B)
 x  5   y  4 
 41
2
(C)
 x  5   y  4 
 100
2
(D)
 x  5   y  4 
 100
2
2
2
(8-9) A circle with a radius of 4 is centered
at  3, 2 . What is the equation of the
circle?
 x  3   y  2 
2
(A)
4
 x  3   y  2 
2
(B)
4
 x  3   y  2 
2
(C)
 16
 x  3   y  2 
2
(D)
 16
2
2
2
2
(8-10) A circle with radius of 5 is centered at
the point  4, 3  . What is the
equation of the circle?
2
(A)
 x  4    y  3
5
2
(B)
 x  4    y  3
5
2
(C)
 x  4    y  3
 25
2
(D)
 x  4    y  3
 25
2
2
2
2
(9)
Geometry Honors Semester II Exam Compilation
2008–2011
8.3 Solve real world problems of perimeter
(9-10) The room shown below is to be tiled.
and area.
(9-8) The room shown below is to have
crown molding installed around the
ceiling’s perimeter.
16 ft
12 ft
16 ft
4 ft
4 ft
2 ft
4 ft
10 ft
What is the area of the room?
4 ft
4 ft
2 ft
4 ft
Approximately how many feet of
molding are needed to complete the
room?
(B) 52 ft
(C) 54 ft
(9-9) The room shown below is to be carpeted.
Carpet is sold by the square yard.
16 ft
4 ft
4 ft
2 ft
4 ft
What is the minimum number of
square yards needed to carpet the
room?
(D) 58 yd2
(D) 216 ft2
(B) –1
(C) 5
(D) 12
10 ft
(C) 54 yd2
(C) 204 ft2
(A) –5
(D) 60 ft
(B) 40 yd2
(B) 200 ft2
(9-11) Given points A 4, 16  and B  x, 4  ,
what is a possible value of x if the
length of AB is 13?
(A) 40 ft
(A) 20 yd2
(A) 192 ft2
(10)
Geometry Honors Semester II Exam Compilation
2008–2011
(A) 10 ft
7.8 Solve problems using trigonometric
ratios.
(B) 18 ft
(10-8) A lighthouse keeper spots a boat
moving away from the lighthouse, first
at 30° and then at 50°. The height of
the light house shown below is 100 feet
above sea level.
30°
(C) 23 ft
(D) 36 ft
(10-10) An air traffic controller spots a taxiing
aircraft, first at 50º and then at 30º.
The height of the control tower shown
below is 200 feet.
50°
100 ft
30°
200 ft

sin 
.3420
.5000
.6428
.7660
20°
30°
40°
50°
cos 
.9397
.8660
.7660
.6428
50°
d
tan 
.3640
.5774
.8391
1.1918
What is the approximate distance d the
boat traveled?
d

20°
30°
40°
50°
sin 
.3420
.5000
.6428
.7660
cos 
.9397
.8660
.7660
.6428
tan 
.3640
.5774
.8391
1.1918
(A) 22 ft
(B) 61 ft
What is the approximate distance d that
the aircraft taxied?
(C) 72 ft
(A) 20 ft
(D) 89 ft
(10-9) An air traffic controller spots a taxiing
aircraft, first at 50° and then at 40°. The
height of the control tower shown below is
100 feet.
(C) 53 ft
(D) 123 ft
(10-11) In isosceles triangle HMS, M is the
vertex angle. If mM   2  x  3  
40°
100 ft
(B) 45 ft
and mH   9 x  7   , what is mM ?
50°
(A) 10°
d
(B) 22°

20°
30°
40°
50°
sin 
.3420
.5000
.6428
.7660
cos 
.9397
.8660
.7660
.6428
tan 
.3640
.5774
.8391
1.1918
What is the approximate distance d the
aircraft traveled?
(C) 79°
(D) 80°
Obsolete Geometry Semester 2 Exam Compilation 2008-2011
(1) 6.6 Prove that two triangles are similar.
(1-8) Given ABC with right angle at C and altitude CD , draw the picture and prove
ABC CBD .
(1-9) Given trapezoid TRQP with parallel sides TR and PQ . Diagonals TQ and RP
intersect at
point Z. Draw the picture and explain why ZTR ZQP .
(1-10) Given ACB with altitude CD and right angle C, ADC CDB ACB by the
Right Triangle Similarity Theorem. Prove the Right Triangle Similarity Theorem.
(1-11) Given kite ABCD with AB  CB and AD  CD . The diagonals intersect at point E.
Prove  AEB   CEB .
Obsolete Geometry Semester 2 Exam Compilation 2008-2011
(2) 7.7 Solve problems utilizing the ratios of the sides of special right triangles.
(2-8) Find the length of the altitude of an isosceles triangle with vertex angle 120  and a
base length of x centimeters. Give answer in simplified radical form in terms of x.
(2-9) The diagonal of a square divides it into two 45-45-90 triangles. The diagonal has
length d. Find the area of the square in terms of d.
(2-10) The two diagonals of a square divide it into four 45º-45º-90º triangles. The legs of
these triangles have length l. What is the area of the square in terms of l?
(2-11) The diagonal of a square has length d. Express the area of the square in terms of d.
Obsolete Geometry Semester 2 Exam Compilation 2008-2011
(3) 8.2 Solve problems using perimeters or areas of geometric figures.
(3-8) Explain how to find the area of a regular hexagon if only the length of the apothem is
known.
(3-9) Explain how to find the area of a regular hexagon if only the length of a side is known.
(3-10) Explain how to find the area of a regular hexagon if the only length of the radius is
known.
(3-11) Explain how to determine the area of a regular hexagon if only the length of its
apothem is known.