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Solutions Manual

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

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.

Page 5 Getting Started

1Ð4.

5. 34
38
68
38
98
1 18 6.2 156
5 18 3176
481
3176
8126
11169
Â7 176
7. 78
196
1146
196
156
8.11 12 9 176
223
11561
11864
11561
3136
2 116

9.21715

10.23(14)Â2314

37

11.[7(2)]

2

Â(72)

2 (5) 2 25
12.9 2 13 2

Â81169250

13.PÂ4s

4(5)20

The perimeter is 20 in.

14.PÂ22w

Â2(6)2

2 12

Â12517

The perimeter is 17 ft.

15.PÂ22w

2(4.8)2(7.5)9.61524.6

The perimeter is 24.6 m.

Points, Lines, and Planes

Page 8 Geometry Activity

1.no2.no

3.On CD

;see studentsÕ work.

4.See studentsÕ work.

Page 9 Check for Understanding

1.point, line, plane

2.See studentsÕ 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,Bor B,J,C

9.No;A,C,and Jlie in plane ABC,but Ddoes not.

10.line11.point12.plane

Pages 9Ð11 Practice and Apply

13.n14.F

15.R16.W

17.Sample answer:PR

18.Yes,it intersects both mand nwhen all three

lines are extended.

19.(D,9)20.Charlotte

21.
22.
23.

Sample answer:

xy O ZR QS W TR Q W ABQ P r s xy O W X Z Y 1-1 xy O D (1, 2) A (3, 2) B (4, 0) C (4, 4)

1Chapter 1

Chapter 1 Points, Lines, Planes, and Angles

Chapter 224

Chapter 2 Reasoning and Proof

Page 61 Getting Started

1.3n23(4)2

122 10

2.(n1)n(61)6

76
13 3.n 2 3n(3) 2 3(3) 93(3)
990

4.180(n2)

180(52)

180(3) 540

5.n n 2

Â10

120

Â10(5) 50

6. n(n 2 3)

8(823)

8(25) 420
20

7.6x42Â4x

42Â2x

21Âx

8.83nÂ22n

103nÂ2n

10Â5n

2Ân

9.3(y2)Â12y

3y6Â12y

3yÂ18y2yÂ18

yÂ9

10.127xÂx18

7 xÂx30 6 xÂ30 xÂ5

11.3x4Â

12 x5 3 x 12 x9 52
xÂ9 x 158

12.22xÂ

23
x2 4

2xÂ

23
x 4Â 83
x 32
Âx

13.AGBand EGDare vertical angles, so

mAGBmEGD. 4 x7

Â71

4 xÂ64 xÂ16

14.mBGCmCGDmDGE180

45

8x415x7Â180

23
x42Â180 23
xÂ138 xÂ6

Inductive Reasoning andConjecture

Pages 63-64 Check for Understanding

1.Sample answer: After the news is over, itÕs time

for dinner.

2.Sometimes; the conjecture is true when Eis

between

Dand F;otherwise it is false.

3.Sample answer: When it is cloudy, it rains.

Counterexample: It is often cloudy and it does not rain.

4.There is one of each shape in the first figure.

There are two of each shape in the second figure

and three of each shape in the third figure. So the next figure will have four of each shape. 5.

The numbers in the sequence increase by 3. The

next number will increase by 3. So, it will be 4 3 or 7.

6.PQTU

7.AB and CD intersect at a single point P,so the lines are distinct. Thus the points

A,B,C,and D

are not all on the same line. So,A,B,C,and Dare noncollinear.

8.False; if x2, then x(2) or 2.

9.True; opposite sides of a rectangle are congruent,

and the sides of the rectangle can be determined from the order of the letters in its name.

10.Sample answer: Snow will not stick on a roof with

a steep angle.

Pages 64-66 Practice and Apply

11.Each figure is formed by adding another row of

dots to the top and another column of dots on the side. The number of dots in each figure is 2, 6, 12, 20.

261220

468
PA CD B PQ RS TU

8521 4

3333
2-1

Page 125 Getting Started

1.PQ 2.PR or RS 3.ST 4.TR or TP

5.The arcs in the figure indicate that2 is

congruent to

4,6, and8.

6.The arcs in the figure indicate that 5 is

congruent to

1,3, and 7.

7.The arcs in the figure indicate that 3 is

congruent to

1,5, and 7.

8.The arcs in the figure indicate that 8 is

congruent to

2,4, and 6.

9.y7x12

7(3)12 2112 9

10.yÂ

2 3 x4 2 3 (8) 4 1 36
132
43

11.2x4y Â18

2(6)

4y Â18

12

4y Â18

4y Â6

y  64
or 32

Parallel Lines and Transversals

Page 126 Geometry Activity: Draw a

Rectangular Prism

1.Planes ABCand EFGare parallel because those

are the planes given as parallel. Planes

BCGand

ADHare parallel, as well as planes ABFand

DCGbecause opposite sides of a rectangular

prism are parallel the same way opposite sides of a rectangle are parallel.

2.Plane ABFintersects plane ABCat AB

;plane

DCGintersects plane ABCat DC

;plane ADH intersects plane ABCat AD ;plane BCG intersects plane

ABCat BC

3.AE,CG,and DHare parallel to BFbecause

planes

BCGand ADH are parallel and planes

ABFand

DCGare parallel.

Pages 128Ð129 Check for Understanding

1.Sample answer: The bottom and top of a cylinder

are contained in parallel planes.

2.Juanita; Eric has listed interior angles, but they

are not alternate interior angles.

3.Sample answer: looking down railroad tracks

4.ABC,JKL,ABK,CDM

5.AB,JK,LM

6.BK,CL,JK,LM,BL,KM

7.q andr,q andt,r andt

8.p andq,p andt,q andt

9.p and r,pand t,rand t

10.pand q,pand r,qand r

11.alternate interior

12.corresponding

13.consecutive interior

14.alternate exterior

15.p;consecutive interior

16.p;alternate exterior

17.q;alternate interior

18.Sample answer: The pillars form parallel lines.

quotesdbs_dbs17.pdfusesText_23

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