Solutions Manual - Anoka-Hennepin School District 11
Solutions Manual
This booklet is provided in Glencoe Geometry Answer Key Maker (0-07-860264-5).
Also provided are solutions for problems in the Prerequisite Skills, Extra Practice,
and Mixed Problem Solving sections.
Copyright ? by The McGraw-Hill Companies, Inc. All rights reserved.
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ISBN: 0-07-860204-1
1 2 3 4 5 6 7 8 9 10 009 12 11 10 09 08 07 06 05 04 03
Geometry
Solutions Manual
CONTENTS
Chapter 1 Points, Lines, Planes, and Angles. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
Chapter 2 Reasoning and Proof . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 24
Chapter 3 Parallel and Perpendicular Lines. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
Chapter 4 Congruent Triangles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85
Chapter 5 Relationships in Triangles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .120
Chapter 6 Proportions and Similarity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .151
Chapter 7 Right Triangles and Trigonometry. . . . . . . . . . . . . . . . . . . . . . . . . . .. 189
Chapter 8 Quadrilaterals. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 238
Chapter 9 Transformations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 289
Chapter 10 Circles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 345
Chapter 11 Areas of Polygons and Circles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 383
Chapter 12 Surface Area . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 411
Chapter 13 Volume¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡...447
Prerequisite Skills ¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡477
Extra Practice¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡502
Mixed Problem Solving and Proof¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡567
Chapter 1 Points, Lines, Planes, and Angles
2. See students¡¯ work; sample answer: Two lines
intersect at a point.
3. Micha; the points must be noncollinear to
determine a plane.
4. Sample answers: line p; plane R
5. Sample answer:
y
Page 5 Getting Started
1¨C4.
y
D( 1, 2)
B(4, 0)
x
O
A(3, 2)
W
C( 4, 4)
x
O
X
3 6 3
5. 3
4 8 8 8
1
9
8 18
Z
Y
5
37
4
1
1
6. 2
16 5 8 ? 16 8
37
82
?
16 16
6.
r
P
11
9
7
?
16 ?7 16
s
Q
14
9
9
7. 7
8 16 ? 16 16
5
?
16
23
15
1
7
8. 11 1
2 9 16 ? 2 16
18
4
15
1
?
16 16
33
1
?
16 2 16
7. There are six planes: plane ABC, plane AGE,
plane CDE, plane BCD, plane FAB, and plane
DEF.
8. A, K, B or B, J, C
9. No; A, C, and J lie in plane ABC, but D does not.
10. line
11. point
12. plane
9. 2 17 15
10. 23 (14)? 23 14
37
11. [7 (2)]2? (7 2)2
(5)2 25
12. 92 132? 81 169
250
13. P? 4s
4(5) 20
The perimeter is 20 in.
14. P? 2 2w
? 2(6) 2 21
2
Pages 9¨C11
n
R
Sample answer: PR
Yes, it intersects both
lines are extended.
19. (D, 9)
21.
B
? 12 5 17
The perimeter is 17 ft.
15. P? 2 2w
2(4.8) 2(7.5)
9.6 15 24.6
The perimeter is 24.6 m.
1-1
Practice and Apply
13.
15.
17.
18.
W
14. F
16. W
m and n when all three
20. Charlotte
Q
A
22.
R
W
T
23. Sample answer:
Points, Lines, and Planes
y
Page 8 Geometry Activity
R
S
Z
1. no
2. no
3. On CD; see students¡¯ work.
4. See students¡¯ work.
x
O
Q
Page 9 Check for Understanding
1. point, line, plane
1
Chapter 1
24. Sample answer:
36. Sample answer: points E, A, and B are coplanar,
but points E, A, B, and C are not.
37.
AC
38. point
39. lines
40. plane
41. plane
42. two planes intersecting in a line
43. point
44. intersecting lines
45. point
46. line
47.
y
R
C
P
D
S
x
O
25.
a
b
c
26.
48.
a
b
F
V
c
27.
s
C
49. See students¡¯ work.
50. Sample answer: the image is rotated so that the
front or back plane is not angled.
51. Sample answer:
r
D
M
s
28.
A
B
C
52. See picture.
53. vertical
54. Sample answer: the paths flown by airplanes
flying in formation
55. Sample answer: Chairs wobble because all four
legs do not touch the floor at the same time.
Answers should include the following.
? The ends of the legs represent points. If all points
lie in the same plane, the chair will not wobble.
? Because it only takes three points to determine a
plane, a chair with three legs will never wobble.
56. C; Three lines intersect in a maximum of three
points. The fourth line can cross the other three
lines only one time each, adding three points to
the figure. For example,
29. points that seem collinear; sample answer:
(0, 2), (1, 3), (2, 4), (3, 5)
y
O
x
30. There are five planes: plane ABC, plane BCE,
plane ABE, plane ADE, and plane CDE.
31. 1; There is exactly one plane through any three
noncollinear points.
32. E, F, C
33. Because A and B determine a line, add point G
.
anywhere on AB
34. E, F
35. A, B, C, D or E, F, C, B
Chapter 1
2
................
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