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Homework Practice Workbook00i_GEOHWPFM_890849.indd 100i_GEOHWPFM_890849.indd 16/26/08 7:38:06 PM6/26/08 7:38:06 PM

Copyright © by The McGraw-Hill Companies, Inc. All rights reserved. Except as permitted under the United States Copyright Act, no part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without prior written permission of the publisher.

Send all inquiries to:

Glencoe/McGraw-Hill

8787 Orion Place

Columbus, OH 43240

ISBN: 978-0-07-890849-1

MHID: 0-07-890849-3 Homework Practice Workbook, Geometry

Printed in the United States of America

1 2 3 4 5 6 7 8 9 10 009 14 13 12 11 10 09 08

To the Student

This Homework Practice Workbook gives you additional problems for the concept exercises in each lesson. The exercises are designed to aid your study of mathematics by reinforcing important mathematical skills needed to succeed in the everyday world. The materials are organized by chapter and lesson, with one Practice worksheet for every lesson in Glencoe Geometry.

To the Teacher

These worksheets are the same ones found in the Chapter Resource Masters for Glencoe Geometry. The answers to these worksheets are available at the end of each Chapter Resource Masters booklet.

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Contents

iii

Lesson/Title Page

1-1 Points, Lines, and Planes .........................1

1-2 Linear Measure and Precision ..................3

1-3 Distance and Midpoints ............................5

1-4 Angle Measure .........................................7

1-5 Angle Relationships ..................................9

1-6 Two-Dimensional Figures .......................11

1-7 Three-Dimensional Figures ....................13

2-1 Inductive Reasoning and

Conjecture ..............................................15

2-2 Logic .......................................................17

2-3 Conditional Statements ..........................19

2-4 Deductive Reasoning .............................21

2-5 Postulates and Paragraph Proofs ..........23

2-6 Algebraic Proof .......................................25

2-7 Proving Segment Relationships .............27

2-8 Proving Angle Relationships ...................29

3-1 Parallel Lines and Transversals .............31

3-2 Angles and Parallel Lines .......................33

3-3 Slopes of Lines .......................................35

3-4 Equations of Lines ..................................37

3-5 Proving Lines Parallel .............................39

3-6 Perpendiculars and Distance ..................41

4-1 Classifying Triangles ..............................43

4-2 Angles of Triangles .................................45

4-3 Congruent Triangles ...............................47

4-4 Proving Congruence: SSS, SAS ............49

4-5 Proving Congruence: ASA, AAS ............51

4-6 Isosceles and Equilateral Triangles ........53

4-7 Congruence Transformations .................55

4-8 Triangles and Coordinate Proof .............57

5-1 Bisectors of Triangles .............................59

5-2 Medians and Altitudes of Triangles ........61

5-3 Inequalities in One Triangle ....................

63

5-4 Indirect Proof ..........................................65

5-5 The Triangle Inequality ...........................67

5-6 Inequalities in Two Triangles ..................69

6-1 Angles of Polygons .................................71

6-2 Parallelograms ........................................73

6-3 Tests for Parallelograms .........................75

6-4 Rectangles ..............................................77

6-5 Rhombi and Squares ..............................79

6-6 Kites and Trapezoids ..............................81

7-1 Ratios and Proportions ...........................83

7-2 Similar Polygons .....................................85

7-3 Similar Triangles .....................................87

7-4 Parallel Lines and Proportional Parts ......89

7-5 Parts of Similar Triangles .......................91

7-6 Similarity Transformations ......................93

7-7 Scale Drawings and Models ...................95

8-1 Geometric Mean .....................................97

8-2 The Pythagorean Theorem and Its

Converse ................................................99

Lesson/Title Page

8-3 Special Right Triangles .........................101

8-4 Trigonometry .........................................103

8-5 Angles of Elevation and

Depression ............................................105

8-6 The Law of Sines and Cosines ............107

8-7 Vectors ..................................................109

9-1 Reflections ............................................111

9-2 Translations ..........................................113

9-3 Rotations ...............................................115

9-4 Compositions of Transformations .........117

9-5 Symmetry ..............................................119

9-6 Dilations ................................................121

10-1 Circles and Circumference ...................123

10-2 Measuring Angles and Arcs .................125

10-3 Arcs and Chords ...................................127

10-4 Inscribed Angles ...................................129

10-5 Tangents ...............................................131

10-6 Secants, Tangents, and Angle

Measures ..............................................133

10-7 Special Segments in a Circle ...............135

10-8 Equations of Circles .............................137

11-1 Areas of Parallelograms and

Triangles ...............................................139

11-2 Areas of Trapezoids, Rhombi

and Kites ..............................................141

11-3 Areas of Circles and Sectors ................143

11-4 Areas of Regular Polygons and

Composite Figures ...............................145

11-5 Areas of Similar Figures .......................147

12-1 Representations of

Three-Dimensional Figures ..................149

12-2 Surface Areas of Prisms and

Cylinders

12-3 Surface Areas of Pyramids and

Cones ...................................................153

12-4 Volumes of Prisms and Cylinders ........155

12-5 Volumes of Pyramids and Cones .........157

12-6 Surface Areas and Volumes

of Spheres ............................................159

12-7 Spherical Geometry ..............................161

12-8 Congruent and Similar Solids ...............163

13-1 Representing Sample Spaces ..............165

13-2 Permutations and Combinations ..........167

13-3 Geometric Probability ...........................169

13-4 Simulations ...........................................171

13-5 Probabilities of Independent and

Dependent Events ................................173

13-6 Probabilities of Mutually Exclusive

Events ...................................................175 Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

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Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

NAME DATE PERIOD

PDF Pass

Chapter 1 1 Glencoe Geometry

Refer to the figure.

1. Name a line that contains point e.

2. Name a point contained in line n.

3. What is another name for line p?

4. Name the plane containing lines n and p.

Draw and label a figure for each relationship.

5. Point K lies on RT . 6. Plane J contains line s.

7. YP lies in plane B and contains 8. Lines q and f intersect at point Z

point C, but does not contain point H. in plane U.

Refer to the figure.

9. How many planes are shown in the figure?

10. How many of the planes contain points F and E?

11. Name four points that are coplanar.

12. Are points A, B, and C coplanar? Explain.

1-1Skills Practice

Points, Lines, and Planes

W A B E C D F G q e n A B D C p

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Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

NAME DATE PERIOD

PDF Pass

Chapter 1 2 Glencoe Geometry

Refer to the figure.

1. Name a line that contains points T and P.

2. Name a line that intersects the plane containing

points Q, N, and P.

3. Name the plane that contains TN and QR .

Draw and label a figure for each relationship.

4. AK and CG intersect at point M 5. A line contains L(-4, -4) and M(2, 3).

in plane T. Line q is in the same coordinate plane but does not intersect LM . Line q contains point N.

Refer to the figure.

6. How many planes are shown in the figure?

7. Name three collinear points.

8. Are points N, R, S, and W coplanar? Explain.

VISUALIZATION Name the geometric term(s) modeled by each object. 9. STOP 10. tip of pin 11. strings

12. a car antenna 13. a library card

A MN PW S X R QT

Practice

Points, Lines, and Planes

y O S j g h T M N Q R P

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Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

NAME DATE PERIOD

PDF Pass

Chapter 1 3 Glencoe Geometry

Skills Practice

Linear Measure

Find the length of each line segment or object.

1. 2.

Find the measurement of each segment. Assume that each figure is not drawn to scale. 3.

NQ 4.

AC 5.

GH ALGEBRA Find the value of x and YZ if Y is between X and Z.

6. XY = 5x, YZ = x, and XY = 25 7. XY = 12, YZ = 2x, and XZ = 28

8. XY = 4x, YZ = 3x, and XZ = 42 9. XY = 2x + 1, YZ = 6x, and XZ = 81

Determine whether each pair of segments is congruent. 10. BE ,

CD 11.

MP ,

NP 12.

WX , WZ ED CB 5 m 2 m

3 m 3 m

F

9.7 mm

HG 15 mm A

4.9 cm 5.2 cm

CB Q 1in. 1 1 4 in. NP 12in.

1cm 2 3 54

N P

M10 yd

12 yd 12 yd YZ WX 9 ft 5 ft 5 ft 1-2

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Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

NAME DATE PERIOD

PDF Pass

Chapter 1 4 Glencoe Geometry

Practice

Linear Measure

Find the length of each line segment or object.

1. 2.

Find the measurement of each segment. Assume that each figure is not drawn to scale.

3. PS 4. AD 5. WX

ALGEBRA Find the value of x and KL if K is between J and L.

6. JK = 6x, KL = 3x, and JL = 27 7. JK = 2x, KL = x + 2, and JL = 5x - 10

Determine whether each pair of segments is congruent. 8. TU ,

SW 9.

AD ,

BC 10.

GF , FE

11. CARPENTRY Jorge used the figure at the right to make a pattern

for a mosaic he plans to inlay on a tabletop. Name all of the congruent segments in the figure. D A BF EC GH EF 5 6 DC BA

12.9 in.

12.7 in.

W TS U 2 ft 2 ft 3 ft 3 ft W

89.6 cm

quotesdbs_dbs21.pdfusesText_27

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