chapters cumulative test 1–6 for use after chapters 1–6 · pdf file ·...
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GeometryChapter 6 Assessment Book126
Answers
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
Cumulative TestFor use after Chapters 1–6
In Exercises 1–5, use the diagram at the right.
1. Name the intersection of @##$ ED and @##$ CD .
A D
CB
E
2. Name the intersection of plane ABDand plane AEB.
3. Are points B, C, and D collinear?
4. Are points E, A, and D coplanar?
5. Name two planes that intersect at line @##$ EC .
In Exercises 6 and 7, the endpoints of a segment are given. Find the length of the segment rounded to the nearest tenth. Then fi nd the coordinates of the midpoint of the segment.
6. A(23, 4) and B(1, 28) 7. F(26, 27) and G(5, 23)
Classify the polygon by the number of sides. Tell whether the polygon is equilateral, equiangular, or regular.
8. 9.
Use the information about the fi gure to fi nd the indicated measure.
10. Perimeter 5 46 m 11. Area 5 175 ft2 12. Perimeter 5 39 in. Find the length l. Find the height h. Find the side length s.
7 m
l h
28 ft
s
Write the next three numbers in the pattern.
13. 3072, 768, 192, 48, . . . 14. 6, 4, 0, 26, . . .
15. Write the contrapositive of the conditional statement “Senators are politicians.” Is the statement true or false?
Use the property to complete the statement.
16. Symmetric Property of Equality: If m∠ G 5 m∠ H, then ? .
17. Transitive Property of Congruence: If ∠ C > ∠ D, and∠ ? > ∠ ? , then ∠ C > ∠ E.
CHAPTERS
1–6
LAHGE11FLARB_c06_107-130.indd 126 2/3/09 2:04:19 PM
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GeometryChapter 6 Assessment Book 127
Answers
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
Find the values of x and y.
18.
428
y 8 x 8358
19. (8y 1 7)8
(7x 1 10)8
(10y 2 25)8
9x 8
Classify the angle pair as corresponding, alternate interior, alternate exterior, or consecutive interior angles.
20. ∠ 7 and ∠ 10 21. ∠ 2 and ∠ 15
1 25 6
87
10911 12
13 141615
4322. ∠ 4 and ∠ 14 23. ∠ 5 and ∠ 9
24. ∠ 11 and ∠ 6 25. ∠ 7 and ∠ 10
Is there enough information to prove p iq? If so, state the postulate or theorem you would use.
26.
r
qp 27. qp
s
r
Find the slope of the line that passes through the points.
28. (24, 22), (2, 6) 29. (23, 7), (1, 25) 30. (8, 1), (25, 0)
Write an equation of the line with the given slope m and y-intercept b.
31. m 5 22, b 5 3 32. m 5 4, b 5 21 33. m 5 5 }
6 , b 5 2
Graph the equation.
34. 6x 1 2y 5 24 35. −2x 1 3y 5 9
x
y
1
1
x
y
1
1
Cumulative Test continuedFor use after Chapters 1–6
CHAPTERS
1–6
See left.
See left.
LAHGE11FLARB_c06_107-130.indd 127 2/3/09 2:04:23 PM
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GeometryChapter 6 Assessment Book128
Answers
36.
37.
38.
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
Find the taxicab distance between the points.
36. (22, 9), (6, 3) 37. (21, 24), (8, 212)
Find m∠ 1.
38.
1
39.
1
268
Find the measure of the
1
5
6
2
34
238
528
numbered angle.
40. ∠ 1 41. ∠ 2
42. ∠ 3 43. ∠ 4
44. ∠ 5 45. ∠ 6
Decide whether enough information is given to prove that the triangles are congruent. If there is enough information, state the congruence postulate or theorem you would use.
46. A B
CD
47. G
H
J
F
48. P
Q
R
S
49. T
US
V
Find the values of x and y.
50.
1148
x 8
y 8 51. 688
(5x 1 3)8
4y 8
52.
(7x 1 12)8
Cumulative Test continuedFor use after Chapters 1–6
CHAPTERS
1–6
LAHGE11FLARB_c06_107-130.indd 128 2/3/09 2:04:27 PM
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GeometryChapter 6 Assessment Book 129
Answers
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
65.
66.
Find the value of x.
53.
11x 2 16 7x 2 10
Q
P S
T
U
54.
(3x 1 23)8
(11x 1 7)8
Is it possible to construct a triangle with the given side lengths?
55. 11, 17, 29 56. 30, 32, 34 57. 15, 112, 113
Solve the proportion.
58. x }
16 5
24 } 12 59.
3 }
11 5
27 } x 60.
20 }
6x 2 1 5
8 } 14
In the diagram, PQRS , WXYZ.
61. Find the scale factor
P
Q
S
R
Z
W X
Y
x
y 8 1188
z6
10
12
9
of PQRS to WXYZ.
62. Find the values ofx, y, and z.
Determine whether the two triangles are similar. If they are similar, write a similarity statement.
63.
D
EF
BC
A
1218
1218
13.5
12
18
9
64. P
R
Q U
S
T868
868
578 378
10
28
Using the map shown, fi nd the given distance.
65. along Lewis Avenue from
Lew
is A
ve.
80th St.
81st
St.
82n
d S
t.385
yd
100 yd120 yd
80th Street to 81st Street
66. along Lewis Avenue from81st Street to 82nd Street
Cumulative Test continuedFor use after Chapters 1–6
CHAPTERS
1–6
LAHGE11FLARB_c06_107-130.indd 129 2/3/09 2:04:30 PM
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GeometryChapter 12 Assessment Book250
Answers
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
Cumulative TestFor use after Chapters 7–12
Find the unknown side length of the right triangle.
1.
x
99
20 2.
x
90
106 3. x 36
85
Find the value of each variable. Write your answers in simplest radical form.
4.
x
y
45810
5. x
y60825
6.
x
y
30818 3
7. You are measuring the height of a Ferris wheel at an amusement park. You are standing 125 feet from its base. You measure the angle of elevation from a point on the ground to the top of the Ferris wheel to be 518. Estimate the height of the Ferris wheel. Round your answer to the nearest foot.
Solve the right triangle. Round decimal answers to the nearest tenth.
8.
A C
B
558
12
9.
H G
F
678
25
10. R P20
17
Find the indicated measure.
11. m∠ PSQ 12. XV
P
RS
T
10
498
Y X
V
Z
W15
13. What are the measures of an interior angle and an exterior angle of a regular 30-gon?
CHAPTERS
7–12
LAHGE11FLARB_c12_231-257.indd 250 2/3/09 2:06:50 PM
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GeometryChapter 12 Assessment Book 251
Answers
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
See left.
Find the value of x.
14.x8
788
15.
x
17
26
16. x8
998 538
17. ABCD has vertices A(25, 4), B(27, 1), C(25, 21) and D(23, 2), and EFGH has vertices E(3, 6), F(21, 0), G(3, 24), and H(7, 2). Tell whether the quadrilaterals are congruent, similar, or neither.
The vertices of n XYZ are X(21, 4), Y(3, 4), and Z(2, 1). Translate n XYZ using the given vector. Graph its image.
18. ⟨22, 0⟩ 19. ⟨1, 23⟩
Add, subtract, or multiply.
20. F 24 7 22 12G 1 F 3 21
25 210G 21. f8 26 4g 2 f27 2 23g
22. f9 5gF 24 6G 23. F 21 6
5 1GF 24 2 22 0G
Find the image matrix that represents the polygon after a refl ection in the given line.
24. x-axis 25. y 5 2x
Cumulative Test continuedFor use after Chapters 7–12
CHAPTERS
7–12
See left.
LAHGE11FLARB_c12_231-257.indd 251 2/3/09 2:06:52 PM
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GeometryChapter 12 Assessment Book252
Answers
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
38.
39.
Cumulative Test continuedFor use after Chapters 7–12
The vertices of n STU are S(1, 22), T(5, 22), and U(1, 24). Find the coordinates of the image of n STU after a composition of the transformations in the order they are listed.
26. Translation: (x, y) → (x 2 1, y 1 4)Refl ection: in the y-axis
27. Translation: (x, y) → (x 2 3, y 2 1)Rotation: 908 about the origin
Decide whether the fi gure has line symmetry and/or rotational symmetry. Identify the number of lines of symmetry and/or the rotations that map the fi gure onto itself.
28. 29. 30.
Find the image matrix that represents a dilation of the polygon centered at the origin with the given scale factor.
A B C A B C
31. F 1 3 0 6 2 4G; k 5 2 32. F 28 24 28
4 4 0G; k 5 3 } 4
Find the value of each variable.
33. A
x8
928
BC
34. G
x 8
5y8888
1258
J
F
H
35.
x 8
648
488
J
M L
K
36.
(5x 2 1)8 (11x 1 9)8388
S
T
WV
U
Write the standard equation of the circle with the given center and radius.
37. Center (0, 23), radius 5 38. Center (22, 6), radius 1
39. Give an equation of a line that does not intersect the circle described by the equation (x 2 1)2 1 (y 1 2)2 5 64.
CHAPTERS
7–12
LAHGE11FLARB_c12_231-257.indd 252 2/3/09 2:06:55 PM
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GeometryChapter 12 Assessment Book 253
Answers
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
Find the area of the fi gure.
40.
19
28
24
41.
50
21
Find the indicated measure.
42. Circumference of (P 43. m C ST
808
P
R
11.5 ft
1158
S
T
P8 m
Find the surface area and volume of the fi gure. Round your answers to two decimal places, if necessary.
44. 12 cm
15 cm
45. 39 yd
89 yd
46. 11.6 m 47.32 in.
48 in.
48. Find the volume of the silo shown at the right. 20 ft
68 ft
Round your answer to two decimal places.
49. Two rectangular prisms have a scale factor of 3 : 4. The smaller rectangular prism has a surface area of 12,582 square meters. Find the surface area of the larger rectangular prism.
50. Two right cones have a scale factor of 1 : 5. The larger cone has a volume of 1875π cubic feet. Find the volume of the smaller cone.
Cumulative Test continuedFor use after Chapters 7–12
CHAPTERS
7–12
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A11Geometry
Assessment Book
21. 22.
x
y
3
1
A9(22, 21)
D9(22, 1)
( )12 B9 21, 2
( )12C9 2 , 1
x
y
1
4A9(0, 0) D9(9, 0)
B9(0, 4.5) C9(4.5, 4.5)
23. $369
Standardized Test A
1. B 2. A 3. C 4. D 5. B 6. C 7. A 8. D
9. B 10. C 11. B 12. C 13. B 14. C
15. C 16. 37.5 17. 20 inches; 1 : 15; 1 : 20
18. a. The 16 3 20 and the 20 3 30 both have a ratio of 1 : 40. b. The 16 3 20 is an enlargement by a scale factor of 2 of the 8 3 10. The 20 3 30 is an enlargement by a scale factor of 5 of the 4 3 6. c. 2 in. 3 3 in. d. Use a scale factor of
1 } 5
for a reduction of the 20 3 30, or use a scale fac-tor of 2 for an enlargement of the wallet size.
Standardized Test B
1. D 2. B 3. A 4. C 5. A 6. D 7. D
8. B 9. C 10. C 11. B 12. B 13. D
14. A 15. D 16. 195 17. length is 1 : 1, width is 1 : 16, area is 1 : 16; After 5 folds: length is 1 : 1, width is 1 : 32, area is 1 : 32; After 6 folds; length is 1 : 1, width is 1 : 64, area is 1 : 64
18. a. A, B, C, E b. The 16 3 20 is an enlargement dilation of the 8 3 10 by a scale factor of 2 : 1. The 10 3 14 is an enlargement dilation of the 5 3 7 by a scale factor of 2 : 1. The 4 3 6 is an enlargement dilation of the 2 3 3 by a scale factor of 2 : 1. The 12 3 16 is an enlargement dilation of the 1.5 3 2 by a scale factor of 8 : 1 c. C and E could print on a 10 3 14. G, I, and J could print on an 6 3 8.
Standardized Test C
1. D 2. B 3. D 4. A 5. D 6. B 7. D 8. A
9. C 10. D 11. B 12. D 13. C 14. C
15. C 16. 15.2 17. 9 ft by 33 ft; 297 ft2
18. a. The 5 3 7 has a ratio of 3 : 35.; The 16 3 20 and 30 3 40 both have a ratio of 1 : 40. b. The
4 3 6 is a reduction by a scale factor of 1 }
6 of the
24 3 36. The 8 3 10 is a reduction by a scale
factor of 1 }
2 of the 16 3 20. c. (10, 14) d. 1 }
5 ;
(3, 4.4)
SAT/ACT Chapter Test
1. B 2. C 3. D 4. A 5. E 6. D 7. D 8. C
9. B 10. B 11. A 12. 40 13. 5 ft
Performance Assessment
1. Complete answers should include:
C(6, 2)x
y
2
12
N(18, 6)L(6, 6)
A(2, 2)
F(3, 1)
E(2, 3)
B(4, 6)
D(1, 1)
M(12, 18)
AB
} DE 5 BC
} EF 5 AC
} DF 5 2, so n ABC , nDEF;
AB
} LM 5 BC
} MN 5 AC
} LN 5 1 }
3 , so n ABC , nLMN;
DE
} LM 5 EF
} MN 5 DF
} LN 5 1 }
6 , so nDEF , nLMN.
2. a. 12 ft by 8 ft b. Because ∠A and ∠C are right angles, ∠A > ∠C. By the Refl exive Property, ∠E > ∠E. So n ABE and nCDE are similar by the AA Similarity Postulate. c. 1.5
d. LF
} FB 5 LM
} ME e. Show that LJ
} LN = LH
} LI . Then
use the Refl exive Property and the SAS Similarity Theorem to show that the triangles are similar.
Chapters 1–6
Cumulative Test
1. point D 2. @##$ AB 3. no 4. yes 5. plane ECD and plane ECB 6. 12.6; (21, 22)
7. 11.7; 1 2 1 } 2 , 25 2 8. decagon, equilateral
9. quadrilateral, equilateral 10. 16 m
11. 12.5 ft 12. 9.75 in. 13. 12, 3, 0.75
14. 214, 224, 236 15. If you are not a politician, then you are not a senator.; true
16. m∠ H 5 m∠ G 17. ∠ D > ∠ E
18. x 5 558, y 5 488 19. x 5 5, y 5 16
20. alternate interior 21. alternate exterior
22. consecutive interior 23. corresponding
24. alternate exterior 25. alternate interior
26. yes; Alternate Interior Angles Theorem
27. yes; Corresponding Angles Converse
28. 4 }
3 29. 23 30.
1 }
13 31. y 5 22x 1 3
Chapter 6, continuedA
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A12GeometryAssessment Book
32. y 5 4x 2 1 33. y 5 5 } 6 1 2
34.
x
y
1
1
35.
x
y
1
1
36. 908 37. 1548 38. 318 39. 388 40. 1428
41. 388 42. 1428 43. 158 44. 528
45. yes; the SAS Congruence Postulate
46. yes; the SSS Congruence Postulate
47. yes; the AAS Congruence Theorem
48. not enough 49. x 5 33, y 5 33
50. x 5 13, y 5 11 51. x 5 48
} 7 52. x 5 13
} 2
53. x 5 2 54. no 55. yes 56. yes 57. x 5 32
58. x 5 99 59. x 5 6 60. 2 }
3
61. x 5 8, y 5 1188, z 5 15
62. yes; n ABC , n DFE
63. yes; n PQR , n UTS 64. 210 yd
65. 175 yd
Chapter 7
Quiz 1
1. 20 2. 5 Ï}
3 3. 4 Ï}
2 4. acute 5. right 6. obtuse 7. right 8. acuteQuiz 2
1. 12 2. 16 3. 20 4. x 5 7 Ï}
2
5. x 5 9, y 5 18 6. x 5 6 Ï}
2
Quiz 3
1. 17.3 2. 9.2 3. 14.9 4. 8.1 5. 18.8
6. m∠ A ø 34.78, m∠ B ø 55.38, AB ø 15.8
7. m∠ D ø 58.08, m∠ F ø 32.08, EF ø 14.4
8. m∠G 5 578, GH ø 7.1, GJ ø 13.1
Chapter Test A
1. x 5 53 2. x 5 48 3. x 5 90 4. 168 ft2
5. 480 m2 6. 768 cm2 7. yes 8. no 9. yes
10. SR 11. GE 12. x 5 10 Ï}
2 13. x 5 13
14. x 5 7 Ï}
3 , y 5 14 15. x 5 8, y 5 16
16. x 5 6 Ï}
3 , y 5 6 17. x 5 Ï}
5 , y 5 Ï}
5
18. x ø 5.1 19. x ø 15.9 20. x ø 11.3
21. x ø 4.8 22. x ø 17.1 23. x ø 38.3
24. 558 25. 52.68 26. 66.18 27. 13.9 28. 5.8
29. a ø 6.9, c ø 5.8, m∠C 5 408
30. c 5 9.7, m∠A ø 35.78, m∠C ø 54.38
31. 55 ft
Chapter Test B
1. 25 2. Ï}
55 3. 6 Ï}
5 4. 2 Ï}
29 5. obtuse
6. right 7. acute 8. acute 9. Ï}
15 10. 1
11. 12 12. 2 13. x 5 6 Ï}
3 , y 5 3
14. x 5 19, y 5 7 Ï}
2 15. x 5 2 Ï}
6 , y 5 3 Ï}
2
16. x 5 7, y 5 2 17. x < 6.5 18. x < 4.2
19. x ø 5.1 20. x < 28.3 21. x < 14.0
22. x ø 9.3 23. 19.8 24. 49.1
25. AC 5 10, m∠ A < 53.18, m∠ C < 36.98
26. EG < 16.5, EF < 7.9, m∠ G 5 28.68
27. 20 ft
Chapter Test C
1. x 5 2 Ï}
89 2. x 5 3 Ï}
51 3. x 5 12 Ï}
7
4. yes; right 5. no 6. yes; acute 7. yes; obtuse
8. yes; altitude 5 3.7 9. yes; altitude 5 5
10. x 5 6 Ï}
10 11. x 5 6 Ï}
2
12. x 5 Ï}
33 , y 5 2 Ï}
11 13. x 5 Ï}
5 , y 5 2 Ï}
5
14. x 5 2 Ï}
21 , y 5 2 Ï}
7 15. x 5 Ï}
10 , y 5 Ï}
10
16. x ø 14.7 17. x ø 1.8 18. x ø 28.9
19. x ø 9.8 20. x 5 81 21. x ø 37.4
22. 52.28 23. 49.18 24. 648
25. 5.2 26. 29.2
27. a ø 2.7, c ø 1.7, m∠C ø 32.28
28. c ø 8.8, m∠A 5 578, m∠C 5 338 29. 17.48
Standardized Test A
1. B 2. C 3. B 4. A 5. C 6. B 7. B 8. C
9. D 10. C 11. B 12. B 13. A 14. D
15. C 16. 14.3 17. 40 ft; 53.13°
18. a. 600 ft2 b. 1500 ft2 c. 443.16 ft2 d. 845.3 ft2
Standardized Test B
1. B 2. A 3. D 4. D 5. C 6. A 7. C
8. B 9. D 10. B 11. A 12. D 13. A
14. D 15. B 16. 43.5 17. 25 ft; 28.698
18. a. 11,250 ft2 b. 13,500 ft2 c. 15,668 ft2 d. 7548.86 ft2
Chapter 6, continuedA
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A20GeometryAssessment Book
17. 127.59 in.3 18. 179.59 km3 19. 1018.45 m3
20. S 5 628.32 m2, V 5 1178.1 m3
21. S 5 486.45 cm2, V 5 618.67 cm3
22. 238.60 m3 23. 327.6 ft3 24. 600π yd2
25. 1024π m3
Chapter Test C
1. polyhedron; 8 faces, 12 vertices, 18 edges
2. polyhedron; 7 faces, 10 vertices, 15 edges
3. not a polyhedron 4. hexagonal prism
5. cone 6. 1166.32 ft2; 812.89 ft2
7. 80.78 m2; 57.02 m2
8. 500.72 yd2; 365.79 yd2 9. 17,671.46 mm2
10. 104.4 cm3 11. 167.23 m3 12. 5280 mm3
13. 696.91 in.3 14. 1206.37 cm3
15. 102.95 in.3 16. similar, 2 }
3 17. similar,
2 } 5
18. a. 477 in.2 b. 161 in.3
Standardized Test A
1. A 2. B 3. B 4. D 5. C 6. A 7. C
8. B 9. C 10. A 11. B 12. B 13. C
14. D 15. A 16. B 17. D 18. 768
19. a. 33,510.32 in.3 b. 4188.79 in.3; No, the volume is one-eighth the larger volume because
the ratio of the radii is 1 }
2 , making the ratio of the
volumes equal to 1 }
23 .
20. a. 7125.13 in.2 b. 45,804.42 in.3 c. 153 min d. 198 gal
Standardized Test B
1. C 2. A 3. D 4. B 5. A 6. C 7. B
8. B 9. A 10. D 11. B 12. B 13. A
14. A 15. D 16. C 17. D 18. 588 ft3
19. a. 4188.79 in.2 b. No; 523.60 in.3
20. a. 527.52 ft2 b. 904.78 ft3 c. 226.08 min
d. water: 646.27 ft3; syrup; 258.51 ft3
Standardized Test C
1. C 2. B 3. C 4. D 5. C 6. B 7. B
8. A 9. B 10. C 11. A 12. D 13. B
14. D 15. C 16. D 17. D 18. 620
19. a. 10,305.99 in.3 b. 161.03 in.3; No, the
volume is 1 }
64 the larger volume because the ratio
of the diameters is 1 }
4 , making the ratio of the
volumes equal to 1 }
43 .
20. a. 68.04 ft2 b. 38.61 ft3 c. 15 min d. 1092.6 L
SAT/ACT Chapter Test
1. A 2. D 3. B 4. C 5. C 6. D 7. C 8. B
9. B 10. C 11. E 12. 197 13. 10.8
Performance Assessment
1. Find the volume of a right prism or right cylinder by multiplying the area of the base by the height. Find the volume of a regular pyramid or right cone by fi nding one third of the product of the area of the base and the height. Find the area of a sphere by fi nding four thirds of the product of pi and the cube of the radius.
2. a. 15 ft3; 46 ft2 b. 13.5 ft2 c. about 1718.44 in.3 d. about 147.22 in.3; 170 in.2 e. Subtract the volume of the pyramid that is cut off from the main pyramid.
Chapters 7–12
Cumulative Test
1. x 5 101 2. x 5 56 3. x 5 77 4. x 5 10,y 5 10 Ï
}
2 5. x 5 25 Ï}
3 , y 5 50 6. x 5 27,y 5 9 Ï
}
3 7. 154 ft 8. m∠B 5 358, AC ø 6.9,BC < 9.8 9. m∠G 5 238, FG < 27.2, FH < 10.6 10. m∠P < 40.48, m∠Q < 49.68, PQ < 26.2 11. 498 12. 30 units 13. 1688, 128
14. x 5 102 15. x 5 21.5 16. x 5 104
17. similar
18.
x
y
1
1
X9 Y9
Z9
19.
x
y
1
1
X9 Y9
Z9
20. F 21 6 27 2G 21. f15 28 7g 22. [26]
A9 B9 C9
23. F 28 22 222 10G 24. F 22 1 3
21 24 1G F9 G9 H9 J9
Chapter 12, continuedA
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A21Geometry
Assessment Book
25. F 24 23 21 22 4 0 3 5G
26. S0(0, 2), T 0(24, 2), U 0(0, 0)
27. S 0(3, 22), T 0(3, 2), U 0(5, 22)
28. line symmetry; one line of symmetry
29. line symmetry; one line of symmetry
30. line symmetry, rotational symmetry; two lines of symmetry, 1808 about the center
A9 B9 C9 A9 B9 C9
31. F 2 6 0 12 4 8G 32. F 26 23 26
3 3 0G33. x 5 46 34. x 5 92, y 5 11 35. x 5 160
36. x 5 11 37. x2 1 (y 1 3)2 5 25
38. (x 1 2)2 1 (y 2 6)2 5 1
39. Sample answer: y 5 8 40. 532 square units
41. 1050 square units 42. 51.75 ft 43. 16.1 m
44. S 5 791.68 cm2, V 5 1696.46 cm3
45. S 5 15,682.83 yd2, V 5 127,423 yd3
46. S 5 422.73 m2, V 5 817.28 m3
47. S 5 6144 in.2, V 5 24,576 in.3
48. 23,457.23 ft3 49. 22,368 m2 50. 15π ft3
Chapters 1–12
End-of-Course Test
1. 14.4 units, (1, 22) 2. 538 3. 48 4. 818
5. 388 6. 1678 7. 159.68
8. Sample answer: 9. Sample answer:
10. C 5 40.84 cm, A 5 132.73 cm2 11. If you are tall, then you are a basketball player.; False
12. If today is not April 24, then tomorrow is not April 25.; True 13. Refl exive Property of Equality 14. Multiplication Property of Equality
15. x 5 51, y 5 68 16. x 5 26, y 5 8
17. neither 18. parallel 19. y 5 22x 1 7
20. no 21. yes; AAS Congruence Theorem
22. x 5 5 23. x 5 10 24. x 5 3 25. < 26. 5
27. x 5 2 1 } 21 28. x 5 63 Ï
}
10 29. x 5 612
30.
x
y
1
1
A9
B 9
C 9
A
B
C
31.
x
y
4
−1
A
B
C
A9B 9
C 9
32. 48, leg 33. 80, leg 34. 125, hypotenuse
35. 146.45 ft 36. m∠B 5 428, AC ø 13.4, BC ø 14.9 37. m∠H 5 198, FG ø 3.1, FH ø 9.5
38. m∠P ø 39.88, m∠Q ø 50.28, PQ 5 15.6
39. x 5 139 40. x ø 69.5 41. x ø 98.5
42. yes 43. yes 44. no
45. J 0(0, 22), K0(2, 23), L0(3, 0), M 0(21, 1)
46. J 0(5, 3), K0(4, 5), L0(7, 6), M 0(8, 2)
A9 B9 C9 P9 Q9 R9 S9
47. F 26 3 12 29 15 23G 48. F 24 0 2 2
2 6 0 24 G49. x 5 47, y 5 7 50. x 5 10
51. (x 2 7)2 1 ( y 1 2)2 5 48
52. 121.5 square units 53. 195.5 square units
54. 374.04 square units 55. 123.43 cm
56. 94.25 yd2 57. S 5 812.64 ft2, V 5 1663.2 ft3
58. S 5 3200 m2, V 5 10,240 m3 59. 8.64π in.3
Chapters 7–12, continuedA
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