Name ________________________________________ Date __________________ Class__________________
End-of-Course Test
Choose the best answer.
7. Which conjecture is valid by the Law of
Syllogism?
2
1. Factor x 29x 210.
Given: If it is June 12, then the local
orchestra will play a concert. If the local
orchestra is playing a concert in June,
then the day must be Tuesday.
A (x 6) (x 35)
B (x 10) (x 21)
C (x 14) (x 15)
D cannot be factored
A If it is June 12, then the day must
be Tuesday.
2. QX bisects ‘PQR. What is the greatest
possible whole-number measure of
‘PQX?
F 45q
H 90q
G 89q
J 100q
B If the local orchestra is playing a
concert, then it must be June 12.
C If the local orchestra is playing a
concert, then it must be a Tuesday
in June.
3. The ratio of the measures of two
supplementary angles is 8 : 4. What is
the measure of the smaller angle?
A 12q
C 60q
B 40q
D 80q
D If it is a Tuesday in June, then the
local orchestra is playing a concert.
8. In the figure,
why is QS # QS ?
F All altitudes
are congruent.
4. To the nearest tenth, what is the
distance between the points (10, 11)
and (1, 5)?
F 2.6
H 12.5
G 4.1
J 18.4
G Symmetric Property
of Congruence
H Reflexive Property of Congruence
J Transitive Property of Congruence
5. Which is next in the sequence?
1, 2, 7, 14, 23, . . .
A 24
C 32
B 25
D 34
9. Which names a pair
of corresponding
angles?
6. Which is the contrapositive of the
statement?
If 6 3x d 7, then 3x t 1.
A ‘1 and ‘6
C ‘2 and ‘7
B ‘3 and ‘8
D ‘3 and ‘7
10. What is the value of 12x 20?
F If 6 3x ! 7, then 3x ! 1.
G If 3x 1, then 6 3x ! 7.
H If 6 3x d 7, then 3x t 1.
J If 3x t 1, then 6 3x d 7.
F 34
H 90
G 88
J 100
© Houghton Mifflin Harcourt Publishing Company
111
Holt McDougal Analytic Geometry
Name ________________________________________ Date __________________ Class__________________
End-of-Course Test
continued
11. What is the slope of the line that passes
through the points (1, 9) and (4, 6)?
A 5
3
C
B 3
5
D 5
1
5
The figure represents the wooden truss
used to support the roof of a garage.
Use the figure for Exercises 18 and 19.
12. Which is the
equation of the
line in the graph?
F y
2x 3
G y
3
x 3
2
18. What postulate or theorem can be used
to prove UJKM # ULKM?
H ASA
G SAS
J HL
19. Given that ML
garage?
H y 3x 1
J y
F SSS
2
x 1
3
C 11q, 89q
B 11q, 59q
D 11q, 29q
H rhombus
G square
J kite
15. Which are the lengths of the sides of an
obtuse triangle?
A 8, 11, 15
C 11, 11, 15
B 9, 12, 15
D 10, 12, 15
H 37.2 cm
G 24.8 cm
J 74.5 cm
C 85.5q
B 9q
D 171q
D 26 ft
F 3 2
H 6
G 4 2
J 8
A 25
C 65
B 29
D 115
F One pair of opposite angles is
congruent.
G Both pairs of opposite sides are
parallel.
H Both pairs of opposite sides are
congruent.
17. What is the measure of one exterior
angle of a regular polygon having 40
sides?
A 4.5q
B 24 ft
22. Which CANNOT be used to prove that a
quadrilateral is a parallelogram?
16. To the nearest tenth, what is the altitude
of an equilateral triangle whose sides
measure 43 centimeters?
F 21.5 cm
C 25 ft
21. What is the value of x?
14. Which polygon has line symmetry but not
rotational symmetry?
F rectangle
A 12 ft
20. What is MP?
13. Two of the three angle measures in a
triangle are given. Which are angle
measures of an acute triangle?
A 11q, 79q
12 feet, how wide is the
J One pair of opposite sides is both
parallel and congruent.
© Houghton Mifflin Harcourt Publishing Company
112
Holt McDougal Analytic Geometry
Name ________________________________________ Date __________________ Class__________________
End-of-Course Test
continued
23. The figure represents a rectangular gate
with diagonal braces. To the nearest
tenth, what is the width, QT, of the gate?
A 3.9 ft
C 7.0 ft
B 4.9 ft
D 7.6 ft
27. Write a quadratic function in standard
form having zeros of 2 and 11.
G 82.1 cm
J 164.3 cm
C 1400 cm2
B 400 cm2
D 2800 cm2
x2 9x 22
C f(x )
x2 9x 22
F 15 ft
H 28 ft
G 22 ft
J 42 ft
A 16.1
F 0.225
A 31.1q
G 2.2 m
J 4.7 m
C 38.6q
B 37.1q
D 52.9q
32. When the angle of elevation to the sun is
26q, a flagpole casts a shadow that
is 82 feet long. What is the height of the
flagpole to the nearest foot?
F 36 ft
H 2.5 m
H 0.974
G 0.231
J 4.331
31. The legs of a right triangle measure
11.4 meters and 15.1 meters. To the
nearest tenth, which could be the
measure of the smallest angle?
26. To the nearest tenth, what is AP?
F 1.0 m
C 25.5
B 17.9
D 28.3
30. To the nearest thousandth, what is tan77q?
25. What is the area of the kite?
A 200 cm2
B f(x )
29. MN with endpoints M(9, 3) and
N(1, 5) is dilated by a scale factor
of 2.5. To the nearest tenth, what is
the length of M cN c ?
24. Kim is making a kite with a wooden
frame. The measures of the frame are
shown. She will use cloth binding to
cover the outer edges of the kite. To the
nearest tenth, how many centimeters of
binding will she need?
H 116.2 cm
x2 9x 22
D f(x) x2 9x 22
28. Starla is 5 feet 9 inches tall. To find
the height of a tree, she measured her
shadow and the tree’s shadow. Her
shadow was 8 feet long when the tree’s
shadow was 30 feet long. To the nearest
foot, how tall is the tree?
Refer to the figure for Exercises 24
and 25.
F 58.1 cm
A f(x )
H 74 ft
G 40 ft
J 166 ft
33. The sides of a triangle measure
18 inches, 25 inches, and 36 inches.
To the nearest degree, what is the
measure of the largest angle?
A 113q
C 157q
B 147q
D 159q
© Houghton Mifflin Harcourt Publishing Company
113
Holt McDougal Analytic Geometry
Name ________________________________________ Date __________________ Class__________________
End-of-Course Test
continued
34. Consider h(x) 2x2 6x 36. Identify
its vertex and y-intercept.
40. What is the volume of a rectangular prism
that is 4 inches wide, 9 inches long, and 3
inches high?
F (1.5, 40.5); (0, 36)
G (1.5, 40.5); (0, 18)
H (2, 40); (0, 36)
35. Write a quadratic equation that fits the
points (4, 126), (2, 12), and (5, 54).
A 21x2 117x 6
2
B 5x 13x 6
2
C 5x 13x 6
36. To the nearest tenth, what is the area of
a regular octagon with a perimeter
of 32 meters?
G 154.5 m2
J 1024 m2
B 138 ft
2
C 640 ft2
D 3200 ft
2
J 432 cm3
A 4941.7 cm3
C 6589.0 cm3
B 5321.9 cm3
D 19,766.9 cm3
F 6 m3
H 12 m3
G 8 m3
J 24 m3
43. To the nearest tenth, what is the area of a
sector of a circle of radius of 9 meters if
the central angle is 50q?
37. The area of a trapezoid is 128 square
feet. If the height of the trapezoid is
increased by a factor of 5, what is the
area of the new trapezoid?
A 133 ft2
G 108 cm3
42. What is the volume of a square pyramid
with base area of 4 square meters and a
height of 6 meters?
D 45x2 213x 6
H 180.0 m2
H 324 cm3
41. To the nearest tenth, what is the volume
of a cylinder with a diameter of 22
centimeters and a height of 13
centimeters?
J (8, 2); (0, 16)
F 77.3 m2
F 36 cm3
A 1.3 m2
C 35.3 m2
B 5.1 m2
D 70.7 m2
Refer to the figure for
Exercises 44 and 45.
p
44. mPN
q
mQN
38. A rectangular scarf with the design
shown is set out to dry. A fly lands on the
scarf. What is the probability that it lands
in the shaded region?
q
mMQ
78q,
163.5q, and
72q. What is m‘PRM?
F 47q
H 94q
G 57q
J 105q
45. PR 6, NR 15, and QR 14.
To the nearest tenth, what is MR?
F 0.25
H 0.75
A 5.6
C 6.4
G 0.50
J 0.80
B 6.0
D 7.0
39. The air conditioner cycles on once every
28 minutes and stays on for 7 minutes.
Find the probability that the air
conditioner will be on when you walk in
the door.
A P
0.2
C P
B P
0.25
D P 5
46. The equation for a circle is
(x 4)2 (y 3)2 25. Which pair
of coordinates locates its center?
4
F (4, 3)
H (16, 9)
G (4, 3)
J (16, 9)
© Houghton Mifflin Harcourt Publishing Company
114
Holt McDougal Analytic Geometry
Unit
7
End-of-Course Test
Answers
End-of-Course Test
1. C
17. B
32. G
2. H
18. J
33. A
3. C
19. B
34. F
4. H
20. H
35. B
5. D
21. C
36. F
6. G
22. F
37. C
7. A
23. D
38. G
8. H
24. J
39. B
9. D
25. C
40. G
10. G
26. H
41. A
11. B
27. C
42. G
12. J
28. G
43. C
13. C
29. C
44. J
14. J
30. J
45. A
15. A
31. B
46. F
16. H
© Houghton Mifflin Harcourt Publishing Company
132
Holt McDougal Analytic Geometry