Geometry B: Midterm Review Packet
1
Name:____________________________________
GEOMETRY B
MIDTERM REVIEW PACKET
2008
DATE OF MIDTERM: __________________________
TIME: ___________
WHAT TO BRING TO THE EXAM:
#2 pencil
Calculator
Geometry B: Midterm Review Packet
2
For points A through E, plot and label the points on the coordinate plane and then state
the quadrant each point is located in. If the point does not live in a quadrant, state
where it falls.
LOCATION
A (-3, 1) _________________
B (-4, 5) _________________
C (3. 2) _________________
D (0, 4) _________________
E (0. 0) _________________
Fill in the blank with the correct word.
Points
that live on the
same line
are ____________________________.
Lines
that live on the
same plane
are ___________________________.
Two lines
intersect at a _____________________.
A __________________ contains an infinite number of points and goes on forever in two
directions.
A _______________________ is formed by connecting two endpoints.
Draw a picture for each:
RAY
LINE
LINE SEGMENT
POINT
Geometry B: Midterm Review Packet
3
5
B
A
C
Show 4 different ways to NAME this angle:
1. 2.
3. 4.
Use the picture below to answer questions 5- 8.
5. Is
CD EF
? Why? 6. Find AD
7. Find AC 8. What is the midpoint of
CD
?
----------------------------------------------------------------
Draw a picture to represent the following:
10. J, K, and L are collinear
RT

C
D
E
F
A
Geometry B: Midterm Review Packet
4
Use the distance formula found on your formula sheet to find the following lengths:
12. Find AB if A (2, 1) and B (8, 2) 13. Find HI if H(-3, 1) and I (3, -5)
14. Find AB if A(-32) and B(108) 15. Find HI if H(44) and I (-322)
Use the picture to answer the following
16. State another name for
1
:_____________
17. Name the vertex of
EBD
: ____________
18. Name the two rays that are the sides of
3
:__________ and __________
19. Name a pair of supplementary angles: ____________ and __________
20. Name a pair of complementary angles: ___________ and ___________
21. Name a pair of opposite rays: ______________ and ______________
22. The
m ABE m EBD m DBC
___________
23. Angles 1 and 2 are __________________ to each other.
24.
ABD
and
DBC
form a ____________________ pair.
3
2
1
A
C
D
E
B
Geometry B: Midterm Review Packet
5
P
T
S
Q
R
X
P
T
S
Q
R
X
X
Z
Q
P
K
In the picture
XP

and
XT

are opposite rays. Given the following information find the value
of x and then find the missing angle measurements!!!
25.
41
22
125
m SXT x
m QXS x
m QXT
26.
3
5 20
m PXR x
m RXT x
27.
52
34
150
m XKP x
m PKQ x
m XKQ
Geometry B: Midterm Review Packet
6
L
A
K
R
A
C
T
D
C
R
S
U
Draw an accurate picture to show the following:
28.
23and
are ADJACENT 29.
67and
are SUPPLEMENTARY
but NOT ADJACENT
30.
ABC and CBD
form a linear pair 31.
49and
are complementary
32.
10 11and
are congruent 33.
23and
are vertical angles
Solve for x and then find the missing measurements.
34.
8 12
5 42
m LAR x
m RAK x
,
AR

is an angle bisector 35.
12 5
8 31
CA x
AT x
36.
16 3
4 18
115
m DUS x
m SUR x
m DUR
Geometry B: Midterm Review Packet
7
Fill in the blank:
37. Two angles that are “next to” each other and share a common ray are
_________________.
38. The word used to describe lines that are not parallel and are non-coplanar is
____________.
39. Two angles are ____________________ if they have the same exact measure.
40. Two parallel lines have _____________________slopes.
41. Two lines that are perpendicular have ________________ _________________ slopes.
42. This symbol means that two lines are perpendicular: _________
43. This symbol means that two lines are parallel._________
44. Two angles that add up to
90
are __________________angles.
45. Two angles that add up to
180
are _________________angles.
46. Two angles are_______________ if and only if their sides form two pairs of opposite
rays.
47. A _______________ is a line that intersects two or more other lines.
Use the provided picture to answer the following: A B
48. Name a pair of parallel segments: ________ &_______ C
49. Name a pair of perpendicular segments: _______ & _______ G
E F
50. Name a pair of segments that are skew: _______ & ______
D
Geometry B: Midterm Review Packet
8
1 3
2 4 p
Note: p // q
5 6
7 8 q
For questions 51 56 choose the correct answer: Alternate Interior Angles,
Corresponding Angles, Same Side Interior Angles, Alternate Exterior Angles, Linear Pair,
or Vertical Angles
51.
1& 8
are _______________________________________.
52.
6& 2
are _______________________________________.
53.
5& 8
are _______________________________________.
54.
2& 7
are _______________________________________.
55.
2& 5
are _______________________________________.
56.
6& 8
are _______________________________________.
Find the complement and supplement of the given angles:
57.
a)
70Vm
b)
115Jm
c)
42mR
comp: _______ comp: _______ comp: _______
supp: _______ supp: ________ supp: _______
Geometry B: Midterm Review Packet
9
M
D
C
4x + 41
D
C
N
B
A
C
Solve for x.
58. 59.
60. 61.
62. 63.
2x + 45
3x - 8
6x-23
2x
3x + 5
DC = 7x - 15
5x + 8
3x + 20
12x + 20
8x + 40
x
x
Geometry B: Midterm Review Packet
10
Solve for x!!
64. 65.
66. Find x, y, and z if
l, m,
and
n
are parallel to each other:
l
m
n
t
12x + 6
3x + 9
2x + 12
3x + 8
12x + 5
11y
55
2z - 5
Geometry B: Midterm Review Packet
11
m
EDF
=
49
m
DEF
=
90
D
E
F
m
DE
=
2
cm
m
EF
=
4
cm
m
FD
=
5
cm
D
E
F
m
DE
=
3
cm
m
EF
=
3
cm
m
FD
=
3
cm
D
E
F
m
DFE
=
61
m
DEF
=
61
m
EF
=
4
cm
D
E
F
For questions 67 71:
Given the points A( -3, 10) and B( 6, 14) find: (LOOK at your FORMULA SHEET!)
67. Find the midpoint of the segment 68. The slope of the line that contains connecting
A to B: A and B:
69. What is the equation of the line that connects A to B?
70. Write a line parallel to
AB
suur
71. Write a line perpendicular to
AB
suur
Classify the following triangles by SIDES (Equilateral, Isosceles, or Scalene)
and ANGLES (Acute, Obtuse, Right, or Equiangular).
72. 73.
SIDES:____________________ SIDES:___________________
ANGLES:_________________ ANGLES:________________
74. 75.
SIDES:____________________ SIDES:___________________
ANGLES:_________________ ANGLES:________________
Geometry B: Midterm Review Packet
12
D
E
F
D
E
F
Fill in the blank with the correct answer:
76. A triangle with congruent angles and sides is both _____________________
and _____________________________.
77. A triangle with NO CONGRUENT sides is called ______________________.
78. A triangle with only TWO CONGRUENT sides is called ____________________.
79. A triangle with one angle that measures
122
o
is considered __________________.
80. A triangle with
50P
o
and
60Q
o
must be ______________________.
81. 82.
Label all parts of the ISOSCELES triangle Label all parts of the RIGHT triangle
If ED=DF
_______________
________________
_________
__________ ___________
________ _________ ___________
________ _________
___________
83. The measure of the vertex angle of an isosceles triangle is
110
. What is the measure
of one of the base angles?
84. The measure of a base angle of an isosceles triangle is
20
. What is the measure of
the vertex?
Geometry B: Midterm Review Packet
13
C
B
A
C
B
A
C
B
A
C
B
A
C
B
A
B
A
Draw and label the following lines and segments. Make sure to use arc marks and tic
marks when necessary.
85. Draw the MEDIAN that passes through
BC
86. Draw the ANGLE BISECTOR of
B
87. Draw the PERPENDICULAR BISECTOR of
CA
88. Draw an ALTITUDE that is special for the following triangles:
Geometry B: Midterm Review Packet
14
8m
8m
7m
7m
C
B
A
D
E
F
m
IHG
=
79.65
m
GIH
=
57.40
7m
m
CBA
=
79.65
m
ACB
=
57.40
7m
C
B
A
G
H
I
m
MON
=
57.40
7m
8m
8m
m
ACB
=
57.40
7m
C
B
A
M
N
O
89. List 4 ways to prove ANY TWO triangles CONGRUENT:
1. 2. 3. 4.
90. List 2 ways that will NOT prove two triangles are congruent.
1. 2.
Determine if the following triangles are CONGRUENT by using one of your answers from
question 89. If they are not congruent write, “ARE NOT CONGRUENT”.
91. method:________________
92. method:_________________
93. method:___________________
100
100
Geometry B: Midterm Review Packet
15
8m
6m
6m
8m
B
A
C
S
T
U
10m
10m
6m
6m
B
A
C
S
T
U
V
W
X
m
VXW
=
90
V
W
X
94. State the 4 ways to prove any two RIGHT TRIANGLES congruent:
1. 2. 3. 4.
Determine if the following RIGHT TRIANGLES are congruent. If they are state one of the
methods from question 94.
95. 96.
method:_________________ method:_________________
Solve for x.
97. 98.
99.
40
x
63
57
X
23
38
m W x
m V x
Geometry B: Midterm Review Packet
16
x
B
C
A
D
B
C
A
Solve for x.
100. 101.
102. Name the polygon with the given number of sides:
Number Number
of sides Name of sides Name
3 _________________ 8 ________________
4 _________________ 9 ________________
5 _________________ 10 ________________
6 _________________ 12 ________________
7 _________________ 20 ________________
103107: Fill in the blank
103.. In a ________________ (
rectangle / rhombus
) the diagonals are congruent.
104. The diagonals are perpendicular in a _________________ (
rectangle/ rhombus
).
105. Opposite angles are congruent in all _________________(
polygons/
parallelograms
).
106. Consecutive angles are _________________(
congruent/ supplementary
) in a
parallelogram.
107. A _______________(
square/ rectangle
) is always a rhombus.
59
62
50
50
2x + 4
8
Geometry B: Midterm Review Packet
17
Questions 108114:
RECTANGLE ABCD
108. A B Find x:
C D
40 10
15 35
ADC x
DAB x
RHOMBUS RSTU
109. R S
Find m
URS
U T
2 10
10 14
URS x
RUT x
PARALLELOGRAM WUVM
110. W U
E
Find EM
V
M
22 32
38
WM x
WE x
Geometry B: Midterm Review Packet
18
8x - 41
3x + 9
D
C
B
A
111. S A The shape to the right is a square,
Find x
M
15 30SMA x
112. Given that ABCD is a parallelogram, how long is
AB?
113. Given that PQRS is a rectangle and PR= 8x -10
and SQ = 2x +38, find the length of PR.
114. Given that KLMN is a rhombus, KR = 5 and RL =12,
Find KL:
P
Q
S
R
K
L
M
N
R
Geometry B: Midterm Review Packet
19
Find the missing side length. Use your formula sheet for reference!! ALL OF THE FOLLOWING
TRIANGLES ARE RIGHT TRIANGLES!!!
115. 116.
117. 118.
119. 120.
BEST OF LUCK ON THE MIDTERM!!
6
8
5
7
16
20
52
45
x
x
x
x
8
y
x
30
7
x
y