Obsolete Geometry Semester 1 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.
September 13,2013
Page 1
Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(1)
1.5 Classify pairs of angles.
(1-8)
Use the figure below.
2
1
3
4
5
Which best describes the pair of angles: 4 and 5 ?
A.
B.
C.
D.
vertical
adjacent
linear pair
complementary
(1-9)
Use the figure below.
2
1
5
3
4
Which best describes the pair of angles 1 and 3 ?
A.
B.
C.
D.
Adjacent
Complementary
linear pair
vertical
(1-10)
Use the diagram.
5
1
3
Which best describes the pair of angles 3 and 4 ?
A.
B.
C.
D.
complementary
linear pair
supplementary
vertical
September 13,2013
Page 2
Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(1-11)
Use the diagram.
5
4
1
3 2
Which best describes the pair of angles 1 and 4 ?
A.
B.
C.
D.
complementary
linear pair
supplementary
vertical
(2)
1.5 Classify pairs of angles.
In the diagram below, DBF , EBC , and EBA are right angles.
(2-8)
E
F
D
3
2
1
4
B
A
C
Which best describes the pair of angles: 1 and 4 ?
A.
B.
C.
D.
vertical
adjacent
supplementary
complementary
(2-9)
Use the diagram below.
E
F
D
3
2
1
A
4
B
C
Which best describes the pair of angles  2 and 3 ?
A.
B.
C.
D.
adjacent
complementary
linear pair
right
September 13,2013
Page 3
Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(2-10)
Use the diagram.
E
F
3 4 5
2
B
1
A
C
D
Which best describes the pair of angles  2 and 5 ?
A.
B.
C.
D.
vertical
supplementary
linear pair
adjacent
(2-11) Use the diagram.
F
E
A
B
C
D
Which best describes the pair of angles DBA and ABE ?
A.
B.
C.
D.
adjacent
linear pair
supplementary
vertical
September 13,2013
Page 4
Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(3)
1.6 Solve segment and angle problems using algebraic techniques.
In the diagram below, mABC  42 .
(3-8)
A
D
B
C
What is the value of x?
A. 2
B. 3
1
2
C. 4
D. 4
2
5
In the diagram below, mABC  46 .
(3-9)
A
D
B
C
What is the value of x?
A. 6
1
7
B. 7
C. 10
D. 10
2
3
September 13,2013
Page 5
Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(3-10)
In the diagram, mABC  44 .
A
D
B
C
What is the value of x?
A. 3
B. 4
C. 6
D. 7
(3-11) In the diagram, mLMN  54 .
L
P
M
N
What is the value of x?
A. 27
B. 22
C. 16
D. 11
September 13,2013
Page 6
Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(4)
1.6 Solve segment and angle problems using algebraic techniques.
In the figure below, Y is between X and Z and XZ  40 cm.
(4-8)
a
3a + 8
X
Y
Z
What is the value of a?
A. 4
B. 8
C. 12
D. 16
In the figure below, Y is between X and Z, and XZ  30 cm .
(4-9)
2a
a+9
X
Y
Z
What is the value of a?
A. 7
B. 9
C. 13
D. 19
(4-10)
In the diagram, Y is between X and Z,
and XZ  45 cm .
4a
6a – 5
X
Y
Z
What is the length of YZ ?
A. 5 cm
B. 10 cm
C. 20 cm
D. 25 cm
September 13,2013
Page 7
Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(4-11)
In the diagram, Y is between X and Z,
and XZ  36 centimeters.
4b
X
b+6
Y
Z
What is the length of XY ?
A. 24 cm
B. 12 cm
C. 10 cm
D. 8 cm
(5)
1.8 Find the distance between two points.
(5-8)
What is the distance between points A  2, 6 and B  2, 3 ?
A. 3
41
B.
C. 9
89
D.
(5-9)
What is the distance between points A  6, 1 and B  2, 1 ?
A. 2 2
B. 2 5
C. 4
D. 8
(5-10) What is the distance between points A  2, 1 and B  1, 5  ?
A. 5
B. 25
C.
5
D.
37
September 13,2013
Page 8
Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(5-11)
A.
14
B.
28
What is the distance between points A  3, 12  and B  3, 4 ?
C. 10
D. 100
(6)
1.9 Find the midpoint of a segment.
(6-8)
What are the coordinates of the midpoint of the segment joining the points A
 3, 4 and B  4, 2 ?
 1 
A.  3 ,3 
 2 
 1

B.   , 1
 2

1

C.  , 1
2

1

D.  , 3 
2

(6-9)
What are the coordinates of the midpoint of the segment joining the points
A  4, 2 and B  3,4 ?
 1

A.   , 3 
 2

 1 
B.   ,1 
 2 
1 
C.  ,1
2 
 1 
D.  3 , 3 
 2 
September 13,2013
Page 9
Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(6-10)
What are the coordinates of the midpoint of the segment joining the points
A 3, 2 and B  4, 4  ?
1

A.  , 3 
2

1

B.  , 1
2


C.
1, 6
D.
1, 2
(6-11)
What are the coordinates of the midpoint of AB with endpoints A 7, 2  and
B  5, 6  ?
A.
1, 4
 5 11 
B.  ,

2 2 
C.
 6, 2
D.
12, 4
(7)
2.2 Justify conjectures and solve problems using inductive reasoning.
(7-8)
In the pattern below, the sides of each regular hexagon have a length of 1 unit.
What is the perimeter of the 5th figure?
A. 18 units
B. 22 units
C. 26 units
D. 30 units
September 13,2013
Page 10
Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(7-9)
In the pattern below, the sides of each square have a length of 1 unit.
Figure 1
Figure 2
Figure 3
What is the perimeter of the n th figure?
A.
B.
C.
D.
n
2n
2n + 2
4n + 4
(7-10)
In the pattern, the sides of each regular octagon have a length of 1 unit.
Figure 1
Figure 2
Figure 3
What is the perimeter of the 10th figure?
A.
B.
C.
D.
26
56
62
71
(7-11)
In the pattern, the sides of each square have a length of 1 unit.
Figure 1
Figure 2
Figure 3
What is the perimeter of the 6th figure?
A.
B.
C.
D.
24
30
34
44
September 13,2013
Page 11
Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(8)
A.
B.
C.
D.
2.3 Differentiate between deductive and inductive reasoning.
(8-8)
In the scientific method, after one makes a conjecture, one tests the conjecture.
What type of reasoning is used?
conclusive
deductive
inductive
scientific
(8-9)
Using the scientific method, conjectures are made based on observed patterns.
What type of reasoning does the scientific method use?
A.
B.
C.
D.
deductive
hypothetical
inductive
scientific
(8-10)
Maria made a conjecture about her next test score based on the pattern of her
previous test scores. What type of reasoning did she use?
A.
B.
C.
D.
conclusive
deductive
hypothetical
inductive
(8-11)
The lawyer presented all the facts of the case in a logical order to the judge. What
type of reasoning did the lawyer use?
A.
B.
C.
D.
conjecture
deductive
inductive
intuitive
(9)
2.6 Analyze conditional or bi-conditional statements.
(9-8)
A.
B.
C.
D.
All donks are widgets. Which statement can be written using the rules of logic?
A donk is a widget if and only if it is an object.
An object is a donk if and only if it is a widget.
If an object is a widget, then it is a donk.
If an object is a donk, then it is a widget.
September 13,2013
Page 12
Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(9-9)
A.
B.
C.
D.
Which can be written as a bi-conditional statement?
All donks are widgets.
All widgets are prings.
All donks and all widgets are prings.
All donks are widgets and all widgets are donks.
(9-10)
Jessica made the statement, “If I get a job, then I can pay for a car.” Her friend
commented, “If you do not get a job, then you cannot pay for a car.” What type of
statement did her friend conclude?
A.
B.
C.
D.
biconditional
contrapositive
converse
inverse
(9-11)
The teacher said, “If all the sides of a triangle are congruent, then it is an
equilateral triangle.” A student replied, “If it is not an equilateral triangle, then all the sides
are not congruent.” What type of statement did the student use?
A.
B.
C.
D.
biconditional
contrapositive
converse
inverse
(10)
2.7 Write and analyze the converse, inverse, and contrapositive of a statement.
(10-8)
Which statement is the inverse of:
If x = 5, then x > 3?
A.
B.
C.
D.
If
If
If
If
x  3 , then
x  3 , then
x  3 , then
x  5 , then
x  5.
x 5.
x  5.
x  3.
(10-9)
Which statement is the converse of
If x = 5, then x > 3?
A.
B.
C.
D.
If
If
If
If
x  3 , then
x  3 , then
x  5 , then
x  5 , then
x  5.
x 5.
x  3.
x  3.
September 13,2013
Page 13
Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(10-10)
What is the contrapositive of the statement?
If x = 5, then x > 3.
x  5 , then x  3 .
x  5 , then x  3 .
x  3 , then x  5 .
x  3 , then x  5 .
A.
B.
C.
D.
If
If
If
If
A.
B.
C.
D.
(10-11)
What is the inverse of this statement?
If I am in my room, then I am happy.
I am in my room, if and only if I am happy.
If I am happy, then I am in my room.
If I am not happy, then I am not in my room.
If I am not in my room, then I am not happy.
(11)
2.7 Write and analyze the converse, inverse, and contrapositive of a statement.
(11-8)
Which is a valid counterexample of the converse of the statement: If Hedley lives
in North Las Vegas, then he lives in Nevada?
A.
B.
C.
D.
Hedley lives in Phoenix.
Hedley lives in California.
Hedley lives in Reno.
Hedley lives in the United States.
(11-9)
Which is the inverse of the statement: If Jon lives in North Las Vegas, then he
lives in Nevada?
A.
B.
C.
D.
If Jon lives in Nevada, then he lives in North Las Vegas.
If Jon lives in North Las Vegas, then he does not live in Nevada.
If Jon does not live in Nevada, then he does not live in North Las Vegas.
If Jon does not live in North Las Vegas, then he does not live in Nevada.
A.
B.
C.
D.
(11-10)
What is the converse of the statement?
If Sandra passes Geometry, then her father will buy her a new car.
If Sandra’s father buys her a new car, then she passed Geometry.
If Sandra does not pass Geometry, then she will not get a new car.
If Sandra’s father does not buy her a new car, then she did not pass Geometry.
If Sandra gets a new car, then she passed Geometry.
A.
B.
C.
D.
(11-11)
What is the converse of the statement?
If Grandpa lives in California, then he lives in the United States.
If Grandpa lives in the United States, then he lives in California.
Grandpa lives in California, if and only if he lives in the United States.
If Grandpa does not live in California, then he does not live in the United States.
If Grandpa does not live in the United States, then he does not live in California.
September 13,2013
Page 14
Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(12) 2.9 Find counterexamples to disprove mathematical statements.
(12-8) Which is the contrapositive to the statement: If n is odd, then n 2  2n  1 is even.
A.
B.
C.
D.
If n 2  2n  1 is odd, then n is even.
If n 2  2n  1 is even, then n is odd.
If n is even, then n 2  2n  1 is odd.
If n is even, then n 2  2n  1 is even.
(12-9) Which is a counterexample to the statement: All prime numbers are odd?
A.
B.
C.
D.
A.
B.
C.
D.
A.
B.
C.
D.
8 is even.
7 is prime.
5 is odd.
2 is prime.
(12-10)
Which is a counterexample to the statement?
The product of two fractions is never an integer.
11
 
3 2
25
 
54
62
 
23
31
 
16
(12-11)
Which is a counterexample to the statement?
All planets have moons.
The planet Jupiter has many moons.
The planet Mars has two moons.
The planet Mercury has no moons.
The planet Saturn has many moons.
September 13,2013
Page 15
Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(13) 3.2 Analyze relationships when two lines are cut by a transversal.
(13-8)
In the figure below, line m is a transversal.
1
2
m
Which best describes the pair of angles: 1 and  2 ?
A.
B.
C.
D.
alternate exterior
alternate interior
corresponding
vertical
(13-9)
In the figure below line m is a transversal.
1
2
m
A.
B.
C.
D.
Which best describes the pair of angles 1 and  2 ?
alternate exterior
alternate interior
corresponding
vertical
(13-10)
In the diagram, line m is a transversal.
m
1
3
A.
B.
C.
D.
4
Which best describes the pair of angles 1 and 4 ?
alternate exterior
alternate interior
corresponding
supplementary
September 13,2013
Page 16
Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(13-11)
In the diagram, line m is a transversal.
m
1
4
2
A.
B.
C.
D.
5 8
6 7
3
Which best describes the angle pair
4 and 8 ?
supplementary
corresponding
alternate interior
alternate exterior
(14) 3.3 Solve problems which involve parallel or perpendicular lines using algebraic
techniques.
(14-8)
In the figure below, n m and l is a transversal.
64°
n
m
l
What is the value of x?
A.
B.
C.
D.
33
29
20
16
(14-9)
In the figure below, n m and l is a transversal.
m
63°
n
l
What is the value of x?
A.
B.
C.
D.
14
16
26
44
September 13,2013
Page 17
Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(14-10)
In the diagram, m n and t is a transversal.
m
n
t
134°
What is the value of x?
A.
B.
C.
D.
62
67
124
134
(14-11)
In the diagram, m n and t is a transversal.
m
n
40°
t
What is the value of x?
A.
B.
C.
D.
10
30
60
140
(15) 3.3 Solve problems which involve parallel or perpendicular lines using algebraic
techniques.
(15-8)
In the figure below, n m and l is a transversal.
m
x°
n
117°
l
What is the value of x?
A.
B.
C.
D.
180
117
63
53
September 13,2013
Page 18
Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(15-9)
In the figure below, n m and l is a transversal.
114°
n
x°
m
l
What is the value of x?
A.
B.
C.
D.
24
66
86
114
(15-10)
In the diagram, m n and s is a transversal.
n
s
m
75°
y°
What is the value of y?
A.
B.
C.
D.
75
105
125
150
(15-11)
In the diagram, m n and p q .
p
m
x°
q
80°
n
What is the value of x?
A.
B.
C.
D.
40
80
100
160
September 13,2013
Page 19
Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(16) 3.3 Solve problems which involve parallel or perpendicular lines using algebraic
techniques.
(16-8)
In the figure below, mFGH  65 .
l
F
G
65°
m
H
What value of x would make line l parallel to line m?
A.
B.
C.
D.
41
49
65
66
In the figure below, mFGH  85 .
(16-9)
H
85°
F
l
G
m
What value of x would make line l parallel to line m?
A.
B.
C.
D.
85
90
95
100
(16-10)
Use the diagram.
H
F
70°
G
m
n
What value of x would make line n parallel to line m?
A.
B.
C.
D.
40
70
90
130
September 13,2013
Page 20
Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(16-11)
Use the diagram.
t
 4y  
40°
n
m
What value of y would show that line m was parallel to line n?
A.
B.
C.
D.
50
40
35
10
(17)
3.4 Write proofs relating to parallel and perpendicular lines.
(17-8)
In the figure below, lines l and m are parallel.
5
1
6
2
l
7
3
8
4
m
A.
B.
C.
D.
Which statement is true?
1 and 3 are congruent.
1 and 8 are supplementary.
2 and 4 are supplementary.
6 and 7 are congruent.
(17-9)
In the figure below, lines l and m are parallel.
5
1
6
2
l
3
4
7
8
m
A.
B.
C.
D.
2
1
1
4
Which statement is true?
and 3 are supplementary
and 3 are supplementary
and 4 are congruent
and 3 are congruent
September 13,2013
Page 21
Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(17-10)
In the diagram, lines r and s are parallel.
r
s
5
1
A.
B.
C.
D.
5
5
2
2
6
2
7 8
3 4
Which statement is always true?
and 4 are congruent
and 8 are congruent
and 4 are supplementary
and 5 are supplementary
(17-11)
In order for lines m and n to be parallel, what statement must be true?
s
r
3
1 2
m
4
n
8 7
A.
B.
C.
D.
6 5
1 and 8 are corresponding
1 and 8 are complementary
3 and 6 are congruent
3 and 6 are supplementary
(18)
4.1 Classify triangles by sides and/or angles.
A.
B.
C.
D.
(18-8)
Which is a valid classification for a triangle?
Acute right
Isosceles scalene
Isosceles right
Obtuse equiangular
A.
B.
C.
D.
(18-9)
Which is a valid classification for a triangle?
Acute right
Obtuse equilateral
Isosceles scalene
Isosceles obtuse
September 13,2013
Page 22
Obsolete Geometry Semester 1 Exam Compilation 2008-2011
A.
B.
C.
D.
(18-10)
Which is a valid classification for a triangle?
equilateral scalene
isosceles scalene
obtuse isosceles
right acute
A.
B.
C.
D.
(18-11)
Which is a valid classification of a triangle?
acute equilateral
obtuse equiangular
right acute
scalene isosceles
(19)
5.6 Solve problems involving properties of polygons.
(19-8)
Use the triangle below.
x°
45°
What is the value of x?
A.
B.
C.
D.
29
33
44
49
(19-9)
Use the triangle below.
x°
70°
What is the value of x?
A.
B.
C.
D.
15
20
25
70
September 13,2013
Page 23
Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(19-10)
Use the triangle.
80 °
x°
What is the value of x?
A.
B.
C.
D.
75
25
21
15
(19-11)
Use the quadrilateral.
85°
What is the value of x?
A.
B.
C.
D.
5
15
20
25
September 13,2013
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Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(20)
4.3 Analyze the relationships between congruent figures.
In the figures below, ABCDEF  RSTUVW .
(20-8)
W
R
V
B
S
A
C
F
U
D
E
T
Which side of RSTUVW corresponds to DE ?
A.
B.
C.
D.
RW
SR
UT
UV
In the figure below, ABCDE  RSTUV .
(20-9)
V
A
B
E
D
C
R
U
T
S
Which side of RSTUV corresponds to CB ?
A.
B.
C.
D.
SR
TS
UT
VU
September 13,2013
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Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(20-10)
In the diagram, ABCDE  RSTUV .
A
E
D
B
U
T
C
V
S
R
Which side of ABCDE corresponds to VR ?
A.
B.
C.
D.
CB
DC
EA
ED
(20-11)
In the diagram, JKLMN  RSTUV .
J
K
N
T
U
L
M
S
V
R
Which angle corresponds to M ?
A.
B.
C.
D.
R
S
T
U
September 13,2013
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Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(21) 4.6 Prove that two triangles are congruent.
(21-8)
Use the triangles below.
A.
B.
C.
D.
Which congruence postulate or theorem would prove that these two triangles are
congruent?
angle-angle-side
angle-side-angle
side-angle-side
side-side-side
(21-9)
A.
B.
C.
D.
Which congruence postulate or theorem would prove these two triangles are congruent?
angle-angle-angle
angle-side-angle
side-angle-side
side-side-side
(21-10)
A.
B.
C.
D.
Use the triangles below.
Use the triangles.
Which congruence postulate or theorem proves these two triangles are congruent?
angle-angle-angle (AAA)
angle-side-angle (ASA)
side-angle-side (SAS)
side-side-side (SSS)
September 13,2013
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Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(21-11)
A.
B.
C.
D.
Use the triangles.
Which congruence postulate or theorem proves these two triangles are congruent?
angle-angle-side (AAS)
side-angle-side (SAS)
side-side-angle (SSA)
side-side-side (SSS)
(22) 4.6 Prove that two triangles are congruent.
In the diagram below, AB  DC and AB DC .
(22-8)
A
C
E
B
A.
B.
C.
D.
D
Which congruence postulate or theorem would prove that these two triangles are
congruent?
side-side-side
angle-angle-angle
side-angle-side
angle-side-angle
(22-9)
In the diagram below, AD and BC bisect each other at E.
A
C
E
B
A.
B.
C.
D.
D
Which congruence postulate or theorem would prove these two triangles are congruent?
angle-angle-angle
angle-side-angle
side-angle-side
side-side-side
September 13,2013
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Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(22-10) In the diagram, AD  CD and B is the midpoint of AC .
D
A
C
B
Which congruence postulates or theorems would prove these two triangles are congruent?
I. side-side-angle (SSA)
II. side-angle-side (SAS)
III. side-side-side (SSS)
A. II only
B. III only
C. I and II only
D. II and III only
In the diagram, NK  LM and 1  2 .
(22-11)
L
1
K
N
2
M
Which congruence postulate or theorem would prove LMK  NKM ?
A. angle-side-angle (ASA)
B. side-angle-side (SAS)
C. side-side-angle (SSA)
D. side-side-side (SSS)
(23)
4.5 Solve problems related to congruent triangles using algebraic techniques.
(23-8) Given that RST  XYZ , mR   6n  1  , mY  108 , and mZ   9n  4 
, what is the value of n?
A.
5
3
B. 5
C.
107
6
D.
179
6
September 13,2013
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Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(23-9) Given that RST  XYZ , mR   5a   , mY  65 , and mZ  75 , what is
the value of a?
A. 2
B. 8
C. 13
D. 15
(23-10)Given that RST  XYZ , mR   3b  20  , mY  40 , and mZ  45 ,
what is the value of b?
A. 21
2
3
B. 25
C. 38
1
3
D. 95
(23-11)Given that JKL  RST , JK  3z  21 , KL  2z  25 , LJ  21  3z , and
ST  5z  31 , what is the value of z?
A. 5
B. 2
C. 1
D. 2
(24)
4.5 Solve problems related to congruent triangles using algebraic techniques.
(24-8) Given that PQR  JKL , PQ  4 x  12 , JK  7 x  6 , KL  2 x  17 , and
JL  5 x  7 , what is the value of x?
A. 2
1
2
B. 6
C. 12
4
7
D. 19
September 13,2013
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Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(24-9) Given that PQR  JKL , PQ  9 x  45 , JK  6 x  15 , KL  2 x , and JL  5 x ,
what is the value of x?
A.
45
7
B.
45
4
C. 15
D. 20
(24-10) Given that PQR  JKL , JK  3 x  9 , KL  2 x , LJ  6 x , and PQ  5 x  3 ;
what is the value of x?
A. –1
B. 1
C. 3
D. 6
(24-11) Given that PQR  XYZ , mP   7n  5  , mQ   3n  5  , and mZ  30 .
What is the value of n?
A. 3
4
7
B. 11
2
3
C. 15
D. 18
September 13,2013
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Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(25)
4.6 Prove that two triangles
are congruent.
(25-8) The statements for a proof are
given below.
Given: Parallelogram ABCD
BX  DY
Prove: BAX  YCD
X
B
(25-9) The statements for a proof are
given below.
Given: Parallelogram ABCD
BAX  DCY
Prove: BX  DY
D
Y
Proof:
STATEMENTS
1. Parallelogram ABCD
BX  DY
2. B  D
3. AB  DC
4. ABX  CDY
5. 1  2
REASONS
1. Given
2.
3.
4.
5.
What is the reason that the statement in
Step 4 is true?
A. side-angle-side
B. angle-side-angle
C. Opposite sides of a parallelogram are
congruent.
D. Corresponding angles of congruent
triangles are congruent.
September 13,2013
C
C
A
A
X
B
D
Y
Proof:
STATEMENTS
1. Parallelogram ABCD
BAX  DCY
2. B  D
REASONS
3. AB  CD
4. ABX  CDY
3.
5. BX  DY
5.
1. Given
2.
4.
What reason makes the statement in
Step 4 true?
A. Side-angle-side congruence theorem.
B. Angle-side-angle congruence
theorem.
C. Opposite sides of a parallelogram are
congruent.
D. Corresponding parts of congruent
triangles are congruent.
Page 32
Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(25-10) The statements for a proof are
given below.
Given: Parallelogram ABCD
AXB  CYD
Prove: AX  CY
X
B
(25-11) The statements for a proof are
given below.
Given: NO  PM
NO PM
Prove:
OP  MN
O
C
P
N
A
D
Y
M
Proof:
STATEMENTS
1. Parallelogram ABCD
AXB  CYD
2. B  D
REASONS
Proof:
STATEMENTS
1.
1. NO  PM , NO PM
1. Given
2.
2. ONP  MPN
2.
3. AB  CD
4. ABX  CDY
3.
3.
4.
3. NP  NP
4. MPN  ONP
5. AX  CY
5.
5. OP  MN
5.
What reason makes the statement in
Step 4 true?
A. angle-angle-side (AAS)
B. angle-side-angle (ASA)
C. side-angle-side (SAS)
D. side-side-side (SSS)
September 13,2013
REASONS
4.
What reason makes the statement in
Step 4 true?
A. side-angle-side (SAS)
B. side-side-side (SSS)
C. corresponding parts of congruent
triangles are congruent (CPCTC)
D. angle-side-angle (ASA)
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Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(26)
4.4 Justify congruence using corresponding parts of congruent triangles.
(26-8) The statements for a proof are given below.
Given:
AB  FD
B   D
A   F
Prove:
BC  DE
E
B
D
A
C
F
Proof:
STATEMENTS
REASONS
1. AB  FD
1. Given
2. B  D
2. Given
3. A  F
3. Given
4. ABC  FDE
4. ______
5. BC  DE
5. Corresponding Parts
of Congruent Triangles
are Congruent
What is the missing reason that would complete this proof?
A. side-side-side
B. side-angle-side
C. angle-side-angle
D. angle-angle-side
September 13,2013
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Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(26-9) The statements for a proof are given below.
AB  FD
A   F
Given:
C  E
BC  DE
Prove:
E
B
D
A
C
F
Proof:
STATEMENTS
REASONS
1. AB  FD
1. Given
2. A  F
2. Given
3. C  E
3. Given
4. ABC  FDE
4. ______
5. BC  DE
5. ______
What reason makes the statement in Step 5 true?
A. Angle-angle-side congruence theorem.
B. Angle-side-angle congruence theorem.
C. Definition of congruent segments.
D. Corresponding parts of congruent triangles are congruent.
September 13,2013
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Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(26-10) The statements for a proof are given below.
Given:
AB  FD
A   D
F   B
Prove:
BC  EF
E
B
D
A
C
F
Proof:
STATEMENTS
REASONS
1. AB  FD
1.
2. A  D
2.
3. F  B
3.
4. ABC  DFE
4.
5. BC  EF
5.
What reason makes the statement in Step 5 true?
A. corresponding parts of congruent triangles are congruent. (CPCTC)
B. angle-side-angle (ASA)
C. side-angle-angle (SAA)
D. given
September 13,2013
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Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(26-11) The statements for a proof are given below.
Given:
Prove:
I is the midpoint of
K  G
GK
GH  KJ
K
H
I
J
G
Proof:
STATEMENTS
REASONS
1. I is the midpoint of GK
K  G
1. Given
2. HIG  JIK
2.
3. GI  KI
3.
4. HIG  JIK
4.
5. GH  KJ
5.
What is the reason for the 5th statement?
A. definition of a midpoint
B. angle-side-angle (ASA)
C. prove
D. corresponding parts of congruent triangles are congruent. (CPCTC)
(27)
4.5 Solve problems related to congruent triangles using algebraic techniques.
(27-8) Given that DEF  LMN , mD   2 x  15  , mL   3  x  2    , and
DF  4( x  17) , what is LN?
A. 16
B. 21
C. 57
D. 67
September 13,2013
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Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(27-9) Given that DEF  LMN , mD   x  75  , mL   3 x  15  , and
DF  2 x  26 , what is LN?
A. 28
B. 34
C. 101
D. 105
(27-10) Given that DEF  LMN , mD   5 x  10  , mL   4 x  10  , and
DF  3  x  5 ; what is LN?
A. 15
B. 20
C. 65
D. 75
(27-11) Given that DEF  LMN , mF   4x  8  , mM   5x  7   , and
D   x  15  , what is the value of x?
A. 1
B. 2
C. 6
D. 15
(28)
4.7 Prove and use the properties of isosceles and/or equilateral triangles.
(28-8) In the isosceles triangle below, mH  137 .
F
137°
G
H
What is the measure of F ?
A. 21.5°
B. 26.5°
C. 43°
D. 53°
September 13,2013
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Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(28-9) In the isosceles triangle below, mH  124 .
H
124°
G
F
What is the measure of F ?
A. 28°
B. 56°
C. 124°
D. 180°
(28-10) In the isosceles triangle, mH  130 .
H
130°
F
G
What is the measure of G ?
A. 25°
B. 35°
C. 50°
D. 65°
(28-11) In triangle PQR, QP  RP and mR  63 .
P
Q
R
What is the measure of P ?
A. 27°
B. 54°
C. 63°
D. 117°
September 13,2013
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Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(29)
4.11 Solve problems applying the properties of triangle inequalities.
(29-8) Three towns form a triangle on the map below.
Geometria
9 miles
Euler
Euclid
7 miles
Which statement does NOT represent possible distances between Euclid and Geometria?
A. Between 2 and 7 miles apart.
B. Between 7 and 9 miles apart.
C. Between 9 and 16 miles apart.
D. Between 49 and 81 miles apart.
(29-9) Three towns form a triangle on the map below.
Springfield
10 miles
Richmond
5 miles
Enterprise
Which statement represents the possible distance from Enterprise to Springfield?
A. Between 1 and 5 miles apart.
B. Between 5 and 15 miles apart.
C. Between 15 and 30 miles apart.
D. Between 30 and 50 miles apart.
(29-10) Three towns form a triangle on the map.
Leibniz
Euler
10 miles
6 miles
Newton
Which inequality represents all possible distances d from Euler to Leibniz?
A. 3 < d < 5
B. 4 < d < 16
C. 6 < d < 10
D. 12 < d < 20
September 13,2013
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Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(29-11) Three towns form a triangle on the map.
Jasper
34 miles
18 miles
Alta
x
Washington
Which value of x is NOT a possible distance between Alta and Washington?
A. 10 miles
B. 20 miles
C. 30 miles
D. 40 miles
(30)
1.8 Find the distance between two points.
(30-8) The RST is constructed with vertices R  5,2  , S  4,1 , and T  2, 1 . What is
the length of ST ?
A. 90
B. 58
C. 8
D. 2
(30-9) When ABC is constructed with vertices A  3, 2  , B  6,4 , and C  3, 1 , what is
the length of AC ?
A. 5
B. 34
C. 45
D. 85
(30-10) ABC is constructed with vertices A  3, 4  , B  1, 1 , and C  7, 5 . What is
the length of AC ?
A.
19
B.
77
C.
101
D.
181
September 13,2013
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Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(30-11) Given A 2, 5 and B  4,  2  . What is the distance from A to B?
A.
13
B.
45
C.
53
D.
85
(31)
4.11 Solve problems applying the properties of triangle inequalities.
(31-8) In ABC , B is a right angle and mA  40 . Which list shows the sides in order
from longest to shortest?
A. AB, BC , AC
B. BC , AB, AC
C. AC , BC , AB
D. AC , AB, BC
(31-9) In DEF , E is a right angle and mF  50 . Which list shows the sides in order
from shortest to longest?
A. DE , EF , FD
B. DE , FD , EF
C. FD , DE , EF
D. EF , DE , FD
(31-10) In ABC , the mA  65 and mB  60 . Which list shows the sides in order
from shortest to longest?
A. AB, AC , BC
B. AC , BC , AB
C. AC , AB, BC
D. BC , AC , AB
September 13,2013
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Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(31-11) In ABC , AB = 6 centimeters, BC = 9 centimeters, and
CA = 5 centimeters. Which list shows the angles in order from largest to smallest?
A. B, C , A
B. B, A, C
C. A, B, C
D. A, C , B
(32)
4.11 Solve problems applying the properties of triangle inequalities.
(32-8) A triangle has two sides that have lengths of 7 cm and 17 cm. Which could represent
the length of the third side of the triangle?
A. 24 cm
B. 18 cm
C. 10 cm
D. 7 cm
(32-9) A triangle has two sides that have lengths of 4 cm and 14 cm. Which could represent
the length of the third side of the triangle?
A. 3 cm
B. 10 cm
C. 17 cm
D. 18 cm
(32-10) Which list of three lengths would form a triangle?
A. 1, 1, 1
B. 2, 4, 7
C. 3, 4, 11
D. 5, 5, 10
(32-11) Which list of three lengths would form a triangle?
A. 4, 4, 7
B. 4, 5, 10
C. 5, 6, 12
D. 6, 6, 12
September 13,2013
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Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(33)
4.13 Apply special segment properties to solve problems.
(33-8) The triangle below contains three midsegments.
x
14
11
z
9
y
What are the values of x, y, and z?
A. x = 9, y = 22, z = 7
B. x = 9, y = 11, z = 14
C. x = 9, y = 22, z = 14
D. x = 18, y = 11, z = 7
(33-9) The triangle below contains three midsegments.
16
7
6
x
y
z
What are the values of x, y, and z?
A. x = 8, y = 12, z = 7
B. x = 8, y = 12, z = 14
C. x = 13, y = 9, z = 10
D. x = 12, y = 14, z = 8
September 13,2013
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Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(33-10) BE is a median of ABC .
A
8
E
10
B
C
What is the length of AC ?
A. 6
B. 8
C. 10
D. 12
(33-11) BE is a median of ABC .
A
8
E
10
7
B
C
What is the length of AC ?
A. 6
B. 8
C. 10
D. 14
September 13,2013
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Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(34)
4.13 Apply special segment properties to solve problems.
(34-8) In BCD , SR is a midsegment, and SQ DC .
B
Q
S
5
D
12
C
R
What is the length of QC ?
A. 34
B. 26
C. 17
D. 13
(34-9) In EFI , GH is a midsegment.
E
J
G
3
I
4
H
F
What is the length of EF ?
A. 6
B. 8
C. 10
D. 12
September 13,2013
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Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(34-10) ABC is a right triangle with AB = 5 cm and BC = 12 cm.
B
5 cm
12 cm
E
D
C
A
A.
B.
C.
D.
What is the length of midsegment DE ?
2.5 cm
6 cm
6.5 cm
13 cm
(34-11) In EFG , HI , IJ , and JH are midsegments, GJ = 6 centimeters, and
EI = 8 centimeters.
G
6 cm
H
E
A.
B.
C.
D.
8 cm
J
F
I
What is the length of EF ?
10 cm
14 cm
16 cm
20 cm
(35)
4.14 Explore the points of concurrency and their special relationships.
(35-8) The triangle below shows a point of concurrency. Lines l, m, and n, are perpendicular
bisectors of the triangle’s sides.
m
l
n
A.
B.
C.
D.
What is the name of the point of concurrency in the triangle?
centroid
incenter
orthocenter
circumcenter
September 13,2013
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Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(35-9) The triangle below shows a point of concurrency. The interior segments are angle
bisectors.
A.
B.
C.
D.
What is the name of the point of concurrency in the triangle?
centroid
circumcenter
incenter
orthocenter
(35-10) The triangle shows a point of concurrency. The interior segments are medians.
A.
B.
C.
D.
What is the name of the point of concurrency in the triangle?
centroid
circumcenter
incenter
orthocenter
(35-11) Use the diagram.
A.
B.
C.
D.
What is the name of the point of concurrency in this triangle?
centroid
circumcenter
incenter
orthocenter
September 13,2013
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Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(36)
5.1 Differentiate among polygons by their attributes.
(36-8) How many sides does a nonagon have?
A. 7
B. 9
C. 11
D. 19
(36-9) How many sides does a heptagon have?
A. 6
B. 7
C. 16
D. 17
(36-10) How many sides does a dodecagon have?
A. 6
B. 10
C. 12
D. 20
(36-11) How many sides does a decagon have?
A. 6
B. 8
C. 10
D. 12
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(37)
5.1 Differentiate among polygons by their attributes.
(37-8) Which figure is a polygon?
A.
B.
C.
D.
(37-9) Which figure is a polygon?
A.
B.
C.
D.
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(37-10) Which group of figures are all polygons?
A.
B.
C.
D.
(37-11) Which group of figures are all polygons?
A.
B.
C.
D.
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(38)
5.3 Find the sum of the measures of the interior angles of a polygon.
(38-8) A hexagon is shown below.
a°
100°
150°
What is the value of a?
A. 90
B. 100
C. 130
D. 150
(38-9) A pentagon is shown below.
a°
110°
100°
What is the value of a?
A. 100
B. 110
C. 120
D. 150
(38-10) What is the sum of the measures of the interior angles of a decagon?
A. 1440
B. 1800
C. 2160
D. 2880
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(38-11) What is the sum of the measures of the interior angles of this polygon?
A. 360
B. 540
C. 720
D. 1080
(39)
5.6 Solve problems involving properties of polygons.
(39-8) Use the figure below.
60°
130°
x°
40°
What is the value of x?
A. 70
B. 60
C. 50
D. 40
(39-9) The figure below is a hexagon with an external angle.
x°
130°
100°
150°
What is the value of x?
A. 20
B. 60
C. 80
D. 160
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(39-10) Given that the exterior angle of a regular polygon is 36°, determine the number of sides
of the polygon.
A. 5
B. 10
C. 18
D. 36
(39-11) What is the sum of the exterior angles of a polygon?
A. 180
B. 360
C. 540
D. 720
(40)
5.4 Solve problems involving properties of special quadrilaterals.
(40-8) Parallelogram ABCD is given below.
A
11x + 9
B
31
D
6(x + 4)
C
What is the value of x?
A.
B.
C.
D.
2
3
6
16
(40-9) Rectangle ABCD is given below.
A
10x – 4
B
26
D
4x + 8
C
What is the value of x?
A. 2
B. 3
1
2
2
D. 9
5
C. 4
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(40-10) Figure ABCD is a rhombus.
B
A
25º
D
C
What is mBAC ?
A. 25
B. 50
C. 65
D. 75
(40-11) The figure below is a rhombus.
5x + 45
7x + 15
What is the value of x?
A. 2.5
B. 10
C. 15
D. 30
(41) 5.8 Find the measures of interior, exterior, and central angles of a given regular
polygon.
(41-8) What is the measure of each exterior angle of a regular hexagon?
A. 60°
B. 90°
C. 120°
D. 135°
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(41-9) What is the measure of each exterior angle of a regular octagon?
A. 144°
B. 135°
C. 45°
D. 36°
(41-10) What is the measure of each exterior angle of a regular pentagon?
A. 45°
B. 72°
C. 108°
D. 120°
(41-11) What is the measure of each exterior angle of a regular decagon?
A. 36°
B. 45°
C. 135°
D. 144°
(42)
5.4 Solve problems involving properties of special quadrilaterals.
(42-8) Which statement is true about a kite?
A. A kite has 4 congruent sides.
B. A kite has 2 pairs of parallel sides.
C. A kite has perpendicular diagonals.
D. A kite has congruent diagonals.
(42-9) Which statement is true about a trapezoid?
A. A trapezoid has 1 acute angle and 3 obtuse angles.
B. A trapezoid has 2 pairs of parallel sides and 4 sides.
C. A trapezoid has 4 right angles and 2 pairs of parallel sides.
D. A trapezoid has 4 sides and exactly 1 pair of parallel sides.
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(42-10) Which statement is true?
A. All rhombi have congruent diagonals.
B. All rhombi have only one pair of parallel sides.
C. All rhombi have perpendicular diagonals.
D. All rhombi have right angles.
(42-11) Which statement is true?
A. All parallelograms have only one pair of parallel sides.
B. All parallelograms have complimentary consecutive angles.
C. All parallelograms have diagonals that bisect each other.
D. All parallelograms have four congruent sides.
(43)
5.4 Solve problems involving properties of special quadrilaterals.
(43-8) Which statement below is true about an isosceles trapezoid?
A. Both pairs of opposite sides are parallel.
B. Both pairs of opposite sides are congruent.
C. One pair of opposite sides is congruent and the other is parallel.
D. One pair of opposite sides is both parallel and congruent.
(43-9) Which statement below is true?
A. All rhombi are squares.
B. All squares are rectangles.
C. All quadrilaterals are parallelograms.
D. All rectangles are rhombi.
(43-10) Which statement is true about all rectangles?
A. Adjacent sides are not congruent.
B. Diagonals are perpendicular.
C. They are trapezoids.
D. They are equiangular.
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(43-11) Which statement is true about all isosceles trapezoids?
A. Both pairs of opposite sides are congruent.
B. Both pairs of opposite sides are parallel.
C. One pair of opposite sides is both parallel and congruent.
D. One pair of opposite sides is parallel, and the other pair is congruent.
(44)
4.4 Justify congruence using corresponding parts of congruent triangles.
(44-8) In the figure below, KLM  ABC .
A
L
8 cm
47°
K
10 cm
M
C
53°
B
Which statement must be true?
A. AC  8cm
B. BC  6cm
C. mA  53
D. mC  80
(44-9) In the figure below, ABC  XYZ .
X
B
80°
4 cm
45°
A
5 cm
C
Y
Z
Which statement must be true?
A. mX  45
B. mZ  45
C. YZ  3cm
D. XY  3cm
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(44-10) In the diagram, ABC  XYZ .
Z
X
100°
30°
Y
B
7 cm
30°
100°
A
C
5 cm
Which statement must be true?
A. mX  30
B. XZ  5cm
C. XZ  7 cm
D. XY  12 cm
(44-11) In the diagram, BCA  XZY . Which statement must be true?
X
Z
120°
40°
Y
B
10 cm
8cm
A
C
A. mX  40
B. XY  8cm
C. XZ  8cm
D. ZY  8cm
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(45)
5.6 Solve problems involving properties of polygons.
(45-8) Use the rhombus below.
B
A
65°
E
D
C
What is mCDE ?
A. 25°
B. 65°
C. 90°
D. 115°
(45-9) In trapezoid GHIJ below, GH JI .
H
G
x°
J
I
What is the value of x?
A. 75
B. 85
C. 95
D. 105
(45-10) Figure GHIJ is a parallelogram.
H
G
(2x)°
J
I
What is the value of x?
A. 15
B. 40
C. 55
D. 65
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(45-11) Figure GHIJ is a parallelogram.
H
G
J
I
What is the value of x?
A. 10
B. 40
C. 60
D. 80
(46) 5.8 Find the measures of interior, exterior, and central angles of a given regular
polygon.
(46-8) A regular polygon has interior angles that measure 144°. How many sides does this
polygon have?
A. 6
B. 8
C. 10
D. 12
(46-9) A regular polygon has interior angles that measure 150 . How many sides does this
polygon have?
A. 30
B. 15
C. 12
D. 10
(46-10) A regular polygon has interior angles that measure 120 . How many sides does this
polygon have?
A. 3
B. 6
C. 12
D. 24
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(46-11) A regular polygon has interior angles that measure 135 . How many sides does this
polygon have?
A. 4
B. 6
C. 8
D. 10
(47) 5.6 Solve problems involving properties of polygons.
(47-8) Use the figure below.
75°
x°
41°
What is the value of x?
A. 64
B. 74
C. 116
D. 126
(47-9) Use the figure below.
x°
123°
86°
What is the value of x?
A.
B.
C.
D.
23
37
43
57
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(47-10) Use the diagram.
120°
70°
65°
x°
What is the value of x?
A. 65
B. 105
C. 110
D. 115
(47-11) Use the diagram.
93°
56°
x°
91°
What is the value of x?
A. 120
B. 128
C. 180
D. 240
(48) 4.7 Prove and use the properties of isosceles and/or equilateral triangles.
(48-8) Given that FGH is an isosceles right triangle, what is the measure of an acute angle of
the triangle?
A. 45°
B. 60°
C. 90°
D. 120°
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(48-9) Given that FGH is an equilateral triangle, what is mG ?
A. 30°
B. 45°
C. 60°
D. 90°
(48-10) Given isosceles FGH , where G is an obtuse angle, which could be the mF ?
A. 22°
B. 55°
C. 88°
D. 111°
(48-11) Given that FGH is an equilateral triangle, what is the measure of an acute angle of
the triangle?
A. 45°
B. 60°
C. 90°
D. 120°
(49) 2.2 Justify conjectures and solve problems using inductive reasoning.
(49-8) What is the n th term of the sequence
1, 4, 9, 16, 25 …?
A. 2n 1
B. n  3
C. n 2
D. 3n 2
(49-9) What is the n th term of the sequence
1, 4, 7, 10, …?
A. 3n  2
B. 3n  3
C. n 1
D. n  3
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(49-10) Use the table.
1
1
2
5
3
9
4 …
13 …
n
?
What is the nth term of the sequence?
A. n  4
B. 3n  2
C. 4n
D. 4n  3
(49-11) Using the table, what is the nth term of the sequence?
1
2
3
4
…
n
4
8
12
16
…
?
A. n  4
B. 3n  2
C. 4n
D. 4n  3
(50)
2.2 Justify conjectures and solve problems using inductive reasoning.
(50-8) Geometric figures are displayed on a computer screen in the following order: triangle,
concave quadrilateral, convex pentagon, concave hexagon. Using inductive reasoning, what
prediction can be made about the next figure?
A. It will be a concave heptagon.
B. It will be a convex heptagon.
C. It will be a convex polygon, but the type cannot be predicted.
D. It will be a polygon, but no other details about it can be predicted.
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(50-9) On the way to the park, Colin passes 5 dogs that are all black with white spots. Using
inductive reasoning, what prediction can he make about the next dog that he passes?
A. The dog will have four legs.
B. The dog’s name will be Spot.
C. The dog will be white with black spots.
D. The dog will be black with white spots.
(50-10) Tina has a peanut butter sandwich for lunch on Monday. She has a peanut butter
sandwich for lunch on Tuesday, and the same on Wednesday. Using inductive reasoning,
predict the type of sandwich she will have on Thursday.
A. roast beef
B. peanut butter
C. ham and cheese
D. She will not have a sandwich on Thursday.
(50-11) Austin went to track practice after school on Monday, Tuesday, and Wednesday. Using
inductive reasoning, what conclusion can you make about his Thursday after-school activity?
A. Austin will go home.
B. Austin will go to swim practice.
C. Austin will go to a meeting.
D. Austin will go to track practice.
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(51) 4.14 Explore the points of concurrency and their special relationships.
(51-8) Each angle of the large triangle is bisected in the figure below.
A
E
D
B
F
C
mCAF  22
mECA  34
Which two small triangles are congruent?
A.
B.
C.
D.
ACE  BCE
AEC  AFB
BCD  BAD
BDA  CEA
(51-9) Each angle of ABC is bisected in the figure below.
A
D
C
E
F
B
mCAF  34
mECA  28
Which two triangles are congruent?
A. ACE  BCE
B. CAF  BAF
C. BCD  BAD
D. AEC  AFB
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(51-10) In the diagram, each angle of ABC is bisected.
A
D
E
C
B
F
mCAF  26
mECA  32
Which two triangles are congruent?
A.
B.
C.
D.
ACE  BCE
ACF  ABF
AEC  AFB
BCD  BAD
(51-11) In EFG, H , I , and J are midpoints.
G
H
E
K
I
J
F
If GI = 36, what is KG?
A. 6
B. 12
C. 18
D. 24
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(52)
4.11 Solve problems applying the properties of triangle inequalities.
(52-8) Use the dimensions given in the diagram below.
A
C
B
70°
55°
60°
65°
60°
50°
80°
E
60°
40°
D
Diagram not
drawn to
scale.
What is the shortest side in the diagram?
A. AB
B. BE
C. BD
D. CD
(52-9) Use the dimensions given in the diagram below.
A
C
B
70°
60°
60°
65°
60°
50°
80°
E
55°
40°
D
What is the longest segment in the diagram?
A. CD
B. BE
C. ED
D. DB
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(52-10) Use the dimensions given in the diagram.
A
C
B
65°
65°
55°
65°
60°
50°
70°
50°
60°
E
D
What is the longest segment in the diagram?
A. AB
B. AE
C. BC
D. CD
(52-11) Based on the dimensions given in the diagram, what is the longest line segment in the
diagram?
P
Q
70°
55°
55°
65°
R
60°
55°
80°
T
60°
40°
S
A. QS
B. RS
C. TQ
D. TS
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1.9 Find the midpoint of a segment.
(53-8) A circle has diameter AB with A  4, 3  and B  11, 5 . What is the center of the
circle?
 15

A.   , -1
 2

 7

B.   , -4 
 2

 7

C.   , -7 
2


1

D.  , -8 
2

(53-9) A circle has diameter EK with E  5,10 and K  2, 8 . What is the center of the
circle?
A.
 3,7 
B.
 7, 13
 3
C.   ,
 2

1

 7
D.   ,
 2

9

(53-10) AB has an endpoint at A  7, 11 and the midpoint is at M  1,2  . What are the
coordinates of endpoint B?
A.
 9, 15
B.
 3, 9 
C.
 6, 9
D.
15, 24
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(53-11) UV has an endpoint at U  7, 5 , and the midpoint is at M  2, 1 . What are the
coordinates of endpoint V?
A.
 12, 10
B.
 4, 3
C.
 3, 3
D.
 4, 5
(54)
1.8 Find the distance between two points.
(54-8) EFG has vertices E  2, 3 , F  3,7  and G  6, 1 . What is the length of GE ?
A.
73
B. 2 17
C. 5 5
D. 4 2
(54-9) EKS has vertices E  4,13  , K  5,8  and S  2, 5  . What is the length of ES ?
A. 2 17
B. 3 6
C. 6 10
D. 12 2
(54-10) Rectangle EFGH has vertices
E  3, 7  , F  4, 7  , G  4, 5  and H  3, 5 . What is the length of a diagonal?
A.
53
B.
95
C.
145
D.
193
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(54-11) Rectangle MHRG has vertices
M  5, 2 , H 1, 10  , R  5, 7  , and G  1, 1 . What is the length of diagonal MR ?
A.
15
B.
81
C.
125
D.
181
(55)
4.15 Write an indirect proof.
(55-8) Use the figure below.
W
P
C
A
Given: WC is not an altitude from PWA and CP  CA .
Prove: PWA is scalene.
Which contradiction must you prove for an indirect proof?
A. WC is an altitude
B. WC is a perpendicular bisector
C. PWA is scalene
D. PWA is isosceles
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(55-9) Use the figure below.
T
C
R
N
NT is not a bisector of CNR .
CT  TR .
Prove: CNR is scalene.
What is the assumption to be used in an indirect proof?
CNR is scalene.
CNR is right.
CNR is acute.
CNR is isosceles.
Given:
A.
B.
C.
D.
(55-10) Use the diagram.
B
A
D
C
Given: BD is not an altitude from ABC and AD  CD .
Prove: ABC is scalene.
A.
B.
C.
D.
STATEMENTS
1. ABC is not scalene
2. ABC is isosceles
REASONS
1.
2.
3. AD  CD
3.
4. BD is an altitude
4.
5. BD is not an altitude
6. ABC is scalene
5.
6.
What is the reason for step #6?
Assumption
Contradiction
Definition of a scalene triangle
Definition of an altitude
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(55-11) 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
(56)
4.15 Write an indirect proof.
(56-8) What do you use as a given in an indirect proof?
A. Prove
B. Contradiction
C. CPCTC
D. Assumption
(56-9) What is the reason on the last step of an indirect proof?
A. Prove
B. Contradiction
C. CPCTC
D. Assumption
(56-10) What assumption must you make to begin an indirect proof?
A. Corresponding parts are congruent.
B. The conditions are a contradiction.
C. The given condition is false.
D. The negation of the statement to be proved.
(56-11) 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
B. x < 9
C. x > 9
D. x  9
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(57)
5.9 Utilize the distance, slope, and midpoint formulas to classify a given
quadrilateral.
(57-8) Given the points W  6,1 , X  1,5  , and Y  6,0  , which coordinates of Z would
result in parallelogram WXYZ?
A.
 1,3
B.
 13,6
C.
1, 4
D.
11,4
(57-9) In the figure below, given A 7,7  , B  2,3 , and C  7, 2  .
Which coordinates of D would result in a parallelogram?
A.
 2,12
B.
 2, 5
C.
12,1
D.
16,3
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(57-10) In the diagram, A 3, 8 , B 1, 4 , and C  9, 2  .
A
B
C
Which coordinates of D would result in a parallelogram?
A.  6, 3
B.
C.
D.
 7, 4
11, 6 
12, 7 
(57-11) In the diagram, which coordinates would result in a kite?
B.
10, 1
9, 2
C.
 7, 11
D.
 6, 5
A.
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(58)
2.2 Justify conjectures and solve problems using inductive reasoning.
(58-8) The nth term of a sequence is 3n 2 . The current term is 75. What is the next term?
A.
B.
C.
D.
324
225
108
100
(58-9) The nth term of a sequence is 3n + 2. The current term is 20. What is the next term?
A.
B.
C.
D.
21
23
27
30
(58-10) The nth term of a sequence is 2n 2  2 . The current term is 130. What is the next term?
A.
B.
C.
D.
134
152
164
202
(58-11) The nth term of a sequence is  3n  1 . If the value of a term is 400, what is the next
term?
2
A.
B.
C.
D.
8
289
409
529
(59) 1.8 Find the distance between two points.
(59-8) In ABC , the length of side AB is 13 units. Given A  3, x  and B  9, 2 . Which
is a value of x?
A. –7
B. –2
C. 7
D. 15
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(59-9) In MNP , the length of side MN is 5 units. Given M  3,6 and N  x,10 . Which is
a possible value of x?
A. –2
B. –1
C. 0
D. 1
(59-10) The length of NT is 10. Given N ( 2, x ) and T (4, 7) , what is a possible value of x?
A. –15
B. –1
C. 15
D. 57
(59-11) Given points A 4, 16  and B  x, 4  , what is a possible value of x if the length of
AB is 13?
A. –5
B. –1
C. 5
D. 12
(60) 4.7 Prove and use the properties of isosceles and/or equilateral triangles.
(60-8) In isosceles JKL , K is the vertex angle. If mJ  11x  3 and
mL  7  x  2  1 , what is mK ?
A. 4°
B. 41°
C. 82°
D. 98°
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(60-9) In isosceles triangle PQR, P is the vertex angle. If mQ  8 x  3 and
mR  2 x  15 , what is mP ?
A. 3°
B. 21°
C. 42°
D. 138°
(60-10) In isosceles triangle RST, S is the vertex angle. If mR   7 x   and
mS   3 x  10  , what is mT ?
A. 2.5°
B. 17.5°
C. 70°
D. 142°
(60-11) In isosceles triangle HMS, M is the vertex angle. If mM   2  x  3   and
mH   9 x  7   , what is mM ?
A. 10°
B. 22°
C. 79°
D. 80°
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Obsolete Geometry Semester 1 Exam Compilation 2008-2011
Geometry Free Response Practice
(1A) Use the diagram to find the measure of the
following angles, given that m n :
m1 = ________
m2 = ________
m3 = ________
m4 = ________
m
1
2
(1B) Use the diagram to find the measure of the
following angles, given that p q r :
m1 = ________
m2 = ________
m3 = ________
m4 = ________
m6 = ________
5
q
p
r
5 4
60°
2 3
1
m3 = ________
50°
80°
m2 = ________
1 5
m4 = ________
4
m5 = ________
2
3
2
ACD is isosceles with vertex A
1  3
Prove:
AB CD
3
C
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140°
A
(2A) Using the figure provided, write a geometric proof.
Given:
70°
6
(1C) Use the diagram to find the measure of the following
angles:
m1 = ________
3
4
40°
m5 = ________
m5 = ________
n
105°
B
1
4
D
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Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(2B) Using the figure provided, write a geometric proof.
Given:
B
D
1
2  3
4  5
5
3
Prove:
C
AB DE
4
2
6
A
E
U
(2C) Using the figure provided, write a geometric proof.
T
1
R
Given: TU RS
2 4
ST  TU
Prove:
3
2   4
S
(3A) Use coordinate geometry to prove that ABC  STR .
B
T
A
C
R
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S
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Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(3B) Use coordinate geometry to prove that ABC  RST .
T
C
R
A
S
B
(3C) Use coordinate geometry to prove that ABC  RST .
A
R
B
C
S
T
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Obsolete Geometry Semester 1 Exam Compilation 2008-2011
Geometry Honors Free Response
(1-8) Given:  2 x  x  11  2  x  3 x  7 
Prove: x = –3
Supply reasons for each step.
(1-9) Given:  x  5 x  3  x  x  13
Prove: x = 3
Supply reasons for each step.
(1-10) Given: x  x  2  ( x  4)  x  6
Prove: x = –2
Justify each step.
(1-11) Given:
 x  4 x 10  x( x  2)
Prove: x  5
Justify each step.
(2-8) Write step-by-step instructions on how to construct an angle whose measure is 2
1
times
4
the measure of the original angle.
Do the construction.
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Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(2-9) Write step by step instructions on how to construct a segment whose length is 1.5 times
the original length.
Then, do the construction on the segment below.
A
B
(2-10) Answer each part.
A. Write step-by-step instructions on how to construct the midpoint of a given line segment.
B. Given segment AB, construct its midpoint.
A
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B
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Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(2-11) Answer each part.
(1)
Write step-by-step instructions on how to construct an angle bisector.
(2)
Given angle ABC, construct the angle bisector.
A
B
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C
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Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(3-8) Show that the quadrilateral QUAD, having vertices Q(–7,–6), U(7,1), A(1,3), and D(–5,0),
is an isosceles trapezoid. (A blank coordinate grid is provided.)
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Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(3-9) Prove that the quadrilateral QUAD, having vertices Q(–1,0), U(–3,6), A(3,8), and D(5,2)
is a square. (A blank coordinate grid is provided.)
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Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(3-10) Prove quadrilateral KLMN, having vertices K(–5, –4), L(0, 8), M(7, 4), and N(8, –4) is a
kite.
(A blank coordinate grid is provided.)
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Obsolete Geometry Semester 1 Exam Compilation 2008-2011
(3-11) Prove quadrilateral WXYZ, having vertices W  5, 6 , X  1, 10  , Y 1, 4 , and
Z  2,  3 is a trapezoid.
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