Download Fall 2010 Practice Exam - Campbell County Schools

Geometry Fall 2012 Practice Exam
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1. What are the names of three collinear points?
A
D
L
J
K
B
2. What are the names of four coplanar points in the
figure above?
3. Name the line and plane shown in the diagram.
R
S
Q
P
4. Are points C, G, and H collinear or noncollinear?
5. Are O, N, and P collinear? If so, name the line on which they lie.
O
N
M
P
6. Name the plane represented by the front of the box.
10. What are the names of the segments in the figure?
C
B
7. What are the names of three planes that contain
point B?
A
11. Name the intersection of plane BPQ and plane
CPQ.
12. What is the intersection of plane TUYX and plane
VUYZ?
8. Name the ray in the figure.
A
B
9. What is the name of the ray that is opposite
?
D
C
B
A
13. What is the length of
?
A
–10
–8
B
–6
–4
–2
0
C
2
4
14. If
, find the value of FG. The
drawing is not to scale.
E
F
G
15. If
, find the
value of x. The drawing is not to scale.
E
F
G
D
6
8
10
16. What segment is congruent to
A
–8
–6
–4
C
D
E
–2
0
2
4
17. If Z is the midpoint of
R
6
8
what are x, RZ, and RT?
Z
4 x - 28
?
B
T
24
222.If
18. Which point is the midpoint of
–8
A
B
C
–6
–4
–2
?
D
0
and
measure of
, then what is the
The diagram is not to scale.
E
2
4
6
8
19. What are the measures of
and
?
Classify each angle as acute, right, obtuse, or
straight.
F
E
G
23. The complement of an angle is 25°. What is the
measure of the angle?
H
24.
D
25.
A
20. If
21. If
B
C
, and
, find the degree measure of
The diagram is not to scale.
then what are
The diagram is not to scale.
and
26.
and
are complementary angles.
m
=
, and m
=
. Find the
measure of each angle.
and
are a linear pair.
, and
. Find the measure of each angle.
bisects
and
Solve for x and find
The diagram is not to scale.
27. Find the coordinates of the midpoint of the segment
whose endpoints are H(8, 2) and K(6, 10).
28. M is the midpoint of
F(9, 8). Find MF.
for the points C(3, 4) and
29. Find the distance between points P(8, 2) and Q(3,
8) to the nearest tenth.
30. Noam walks home from school by walking 8
blocks north and then 6 blocks east. How much
shorter would his walk be if there were a direct path
from the school to his house? Assume that the
blocks are square.
31. Each unit on the map represents 5 miles. What is
the actual distance from Oceanfront to Seaside?
y
32. Based on the pattern, what are the next two terms of
the sequence?
9, 15, 21, 27, . . .
8
33. What is a counterexample for the conjecture?
Conjecture: Any number that is divisible by 4 is
also divisible by 8.
6
Seaside
4
2
–8 –6 –4 –2
–2
Landview
–4
2
4
6
8
x
Oceanfront
–6
–8
34. Identify the hypothesis and conclusion of this conditional statement:
If two lines intersect at right angles, then the two lines are perpendicular.
35. What is the value of x?
(7x – 8)°
Use the diagram to find the following 36 – 38.
h
(6x + 11)°
a
1
2
8
3
Drawing not to scale
b
7
4
6
5
36. Identify a pair of alternate exterior angles.
37. What are three pairs of corresponding angles in the
figure above?
38. What is the relationship between
and 7?
39. Line r is parallel to line t. Find m 5. The diagram
is not to scale.
r
7
43. Find the values of x, y, and z. The diagram is not to
scale.
35°
135°
1
3
t
11°
4
2
5
59°
x°
6
z°
y°
44. Find the value of x. The diagram is not to scale.
40. Find the value of x. The diagram is not to scale.
72°
f
5x
105°
9 x + 26
x°
g
41. Find the value of x for which l is parallel to m. The
diagram is not to scale.
80°
l
45. What is the slope of the line shown?
y
10
( 3 x - 43 )º
m
8
(–8, 5)
6
4
2
42 Find the value of k. The diagram is not to scale.
–10 –8 –6 –4 –2
–2
2
4
–4
–6
–8
62°
–10
45°
k°
(1, –8)
6
8 10
x
46.What is the slope of the line shown?
47. Write the equation for the vertical line that contains
point E(–7, 7).
y
8
48. Write the equation for the horizontal line that
contains point G(4, 8).
6
4
2
–8 –6 –4 –2
–2
(–8, –5)
2
4
(5, 0)
6 8
x
–4
–6
–8
49. Write an equation in slope-intercept form of the
line through point P(–10, 1) with slope –5.
50.Is the line through points P(8, 3) and Q(4, 2) parallel to the line through points R(–5, –5) and S(–1, –2)? Explain.
5
51.If BCDE is congruent to OPQR, then
to
53.
is congruent
952. Given
and
, find the length of QS and TV.
654.Name the angle included by the sides
N
M
P
and
55.State whether
your answer.
and
are congruent. Justify
7
7
58. What is the value of x?
(
57. Name the theorem or postulate that lets you
immediately conclude
A
656.From the information in the diagram, can you prove
? Explain.
B
38°
D
(
21
21
C
xº
59. Can you use the SAS Postulate, the AAS Theorem,
or both to prove the triangles congruent?
Drawing not to scale
60. What is the value of x?
xº
61. Based on the given information, what can you
conclude, and why?
Given:
I
K
J
H
L
56°
Drawing not to scale
62. Two sides of an equilateral triangle have lengths
and
. Which could be the length of the
third side:
or
?
63.Find the values of x and y.
64.The length of
is shown. What other length can you
determine for this diagram?
A
D
(
(
G
y°
|
|
|
12
x°
B
|
47°
D
C
Drawing not to scale
F
65. What additional information will allow you to
prove the triangles congruent by the HL Theorem?
A
66.
E
bisects
Find the value of x. The
diagram is not to scale.
B
|
E
|
|
8x + 42
F
C
15x
|
E
)
D
)
30°
D
G
67. What common angle do
C
68. Q is equidistant from the sides of
The diagram is not to scale.
D
Find
E
T
F
|
(4
x
+
G
|
5)
°
Q
69. Find the value of x.
(8x – 11)°
S
R
770.Name the point of concurrency of the angle bisector
16
3x – 4
71.Find the length of
, given that
triangle and AC = 26.
is a median of the
7772. Name a median for
A
|
D
E
)
|
D
)
C
A
B
F B
C
73. In ACE, G is the centroid and BE = 9. Find BG and 5. 74.What is the name of the segment inside the large
GE.
triangle?
C
B
A
75. In
and
G
F
D
E
centroid D is on median
Find AM.
.
7 76. For a triangle, list the respective names of the points
of concurrency of
• perpendicular bisectors of the sides
• bisectors of the angles
• medians
• lines containing the altitudes
7777.
lin
What must be true about the slopes of two perpendicular
lines, neither of which is vertical?