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Solution Manual For Glencoe Geometry Chapter 1-13 With Complete Verified Solutions

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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…………………………………………567Page 5 Getting Started 1–4. 5. }3 4} 1 }3 8} 5 }6 8} 1 }3 8} 5 } 9}8 5 1}1 } 8 6. 2} 5}16 1 5 }1 8} 5¬} 31 7}6 1 }4 1}8 5¬} 31 7}6 1 }8 1 2}6 5¬} 119}16 5¬7} 7}16 7. }7 8} 2 }1 9}6 5¬} 11 4}6 2 }1 9}6 5¬}1 5}6 8. 11}1 2} 2 9}176} 5¬}223 } 2 }1156 }1 5¬} 184}16 2 } 151}16 5¬} 31 3}6 5 2} 1}16 9. 10. 23 2 (214)¬5 23 1 14 5 37 11. [27 2 (22)]2¬5 (27 1 2)2 5 (25)2 5 25 12. 92 1 132¬5 81 1 169 5 250 13. P¬5 4s 5 4(5) 5 20 The perimeter is 20 in. 14. P¬5 2, 1 2w ¬5 2(6) 1 212}1 2}2 ¬5 12 1 5 5 17 The perimeter is 17 ft. 15. P¬5 2, 1 2w 5 2(4.8) 1 2(7.5) 5 9.6 1 15 5 24.6 The perimeter is 24.6 m. Points, Lines, and Planes Page 8 Geometry Activity 1. no 2. no 3. On CD @#$; see students’ work. 4. See students’ work. Page 9 Check for Understanding 1. point, line, plane 2. See students’ work; sample answer: Two lines intersect at a point. 3. Micha; the points must be noncollinear to determine a plane. 4. Sample answers: line p; plane R 5. Sample answer: 6. 7. There are six planes: plane ABC, plane AGE, plane CDE, plane BCD, plane FAB, and plane DEF. 8. A, K, B or B, J, C 9. No; A, C, and J lie in plane ABC, but D does not. 10. line 11. point 12. plane Pages 9–11 Practice and Apply 13. n 14. F 15. R 16. W 17. Sample answer: PR @#$ 18. Yes, it intersects both m and n when all three lines are extended. 19. (D, 9) 20. Charlotte 21. 22. 23. Sample answer: x y O Z R Q S W T R Q W A B Q P r s x y O W X Z Y 1-1 x y O D(1, 2) A(3, 2) B(4, 0) C(4, 4) 1 Chapter 1 Chapter 1 Points, Lines, Planes, and Angles24. Sample answer: 25. 26. 27. 28. 29. points that seem collinear; sample answer: (0, 22), (1, 23), (2, 24), (3, 25) 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 @#$. 34. E, F 35. A, B, C, D or E, F, C, B 36. Sample answer: points E, A, and B are coplanar, but points E, A, B, and C are not. 37. AC @#$ 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. 48. 49. See students’ work. 50. Sample answer: the image is rotated so that the front or back plane is not angled. 51. Sample answer: 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, V x y O A B C s M r s

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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.
Printed in the United States of America. Permission is granted to reproduce the
material contained herein on the condition that such material be reproduced only
for classroom use; be provided to students, teacher, and families without charge;
and be used solely in conjunction with Glencoe Geometry. Any other reproduction,
for use or sale, is prohibited without prior written permission of the publisher.



Send all inquiries to:
Glencoe/McGraw-Hill
8787 Orion Place
Columbus, OH 43240-4027



ISBN: 0-07-860204-1 Geometry
Solutions Manual

1 2 3 4 5 6 7 8 9 10 009 12 11 10 09 08 07 06 05 04 03

,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
Page 5 Getting Started 2. See students’ work; sample answer: Two lines
1–4. intersect at a point.
y
3. Micha; the points must be noncollinear to
D( 1, 2) determine a plane.
4. Sample answers: line p; plane R
B(4, 0) 5. Sample answer: y
O x

A(3, 2)
C( 4, 4) W
x
O
5. 3
 3 6 3 X
4  8  8  8 Z
 9 1
8  18

5
Y
1  37 4
1
16  5 8 ¬ 16  8
6. 2   
37 82 6.
¬16  16
   r
P
119 7
¬16 ¬7 16 s
 9 
7. 7  9
14 Q
8  16 ¬ 16  16
5 7. There are six planes: plane ABC, plane AGE,
¬16
plane CDE, plane BCD, plane FAB, and plane
8. 11 1 7  23 15
2  9 16 ¬ 2  16
   1
DEF.
184 15 1
¬16  16
 8. A, K, B or B, J, C
33 9. No; A, C, and J lie in plane ABC, but D does not.
¬ 1
16  2 16

10. line 11. point 12. plane
9. 2  17  15
10. 23  (14)¬ 23  14
 37 Pages 9–11 Practice and Apply
11. [7  (2)]2¬ (7  2)2 13. n 14. F
 (5)2  25 15. R 16. W
12. 92  132¬ 81  169 
17. Sample answer: PR
 250
13. P¬ 4s 18. Yes, it intersects both m and n when all three
 4(5)  20 lines are extended.
The perimeter is 20 in. 19. (D, 9) 20. Charlotte
14. P¬ 2  2w 21.
B
 
¬ 2(6)  2 21

2
¬ 12  5  17 W
The perimeter is 17 ft. Q
15. P¬ 2  2w A
 2(4.8)  2(7.5)
 9.6  15  24.6 22.
The perimeter is 24.6 m. R
W
T
23. Sample answer:
1-1 Points, Lines, and Planes
y

Page 8 Geometry Activity R S
1. no 2. no Z

3. On CD; see students’ work. O x
4. See students’ work.
Q

Page 9 Check for Understanding
1. point, line, plane


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