Prentice Hall Geometry

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Table 1 Measures

	United States Customary	Metric
Length	12 inches ( in . ) = 1 foot ( ft ) 36 in . = 1 yard ( yd ) 3 ft = 1 yard 5280 ft = 1 mile ( mi ) 1760 yd = 1 mile table with 5 rows and 2 columns , row1 column 1 , 12 . inches , open in . close , column 2 equals , 1foot , open ft close , row2 column 1 , 36 , in . , column 2 equals 1 , yard , open yd close , row3 column 1 , 3 ft , column 2 equals 1 , yard , row4 column 1 , 5280 , ft , column 2 equals 1 , mile , open mi close , row5 column 1 , 1760 , yd , column 2 equals 1 , mile , end table	10 millimeters ( mm ) = 1 centimeter ( cm ) 100 cm = 1 meter ( m ) 1000 mm = 1 meter 1000 m = 1 kilometer ( km ) table with 4 rows and 2 columns , row1 column 1 , 10 . millimeters . open mm close , column 2 equals 1 . centimeter . open cm close , row2 column 1 , 100 , cm , column 2 equals 1 , meter , open m close , row3 column 1 , 1000 , mm , column 2 equals 1 , meter , row4 column 1 , 1000 , m , column 2 equals 1 . kilometer . open km close , end table
Area	144 square inches ( in . 2 ) = 1 square foot ( ft 2 ) 9 ft 2 = 1 square yard ( yd 2 ) 43 , 560 ft 2 = 1 acre ( a ) 4840 yd 2 = 1 acre table with 4 rows and 2 columns , row1 column 1 , 144 . squareinches . open in , . squared , close , column 2 equals 1 . squarefoot . open , ft squared , close , row2 column 1 , 9 , ft squared , column 2 equals 1 . squareyard . open , yd squared , close , row3 column 1 , 43 comma 560 , ft squared , column 2 equals 1 , acre , open a close , row4 column 1 , 4840 . yd squared , column 2 equals 1 , acre , end table	100 square millimeters ( mm 2 ) = 1 square centimeter ( cm 2 ) 10 , 000 cm 2 = 1 square meter ( m 2 ) 10 , 000 m 2 = 1 hectare ( ha ) table with 3 rows and 2 columns , row1 column 1 , 100 . squaremillimeters . open , mm squared , close , column 2 equals 1 . squarecentimeter . open , cm squared , close , row2 column 1 , 10 comma 000 , cm squared , column 2 equals 1 . squaremeter . open , m squared , close , row3 column 1 , 10 comma 000 , m squared , column 2 equals 1 . hectare . open ha close , end table
Volume	1728 cubic inches ( in . 3 ) = 1 cubic foot ( ft 3 ) 27 ft 3 = 1 cubic yard ( yd 3 ) table with 2 rows and 2 columns , row1 column 1 , 1728 . cubicinches . open in , . cubed , close , column 2 equals 1 . cubicfoot . open , ft cubed , close , row2 column 1 , 27 , ft cubed , column 2 equals 1 . cubicyard . open , yd cubed , close , end table	1000 cubic millimeters ( mm 3 ) = 1 cubic centimeter ( cm 3 ) 1 , 000 , 000 cm 3 = 1 cubic meter ( m 3 ) table with 2 rows and 2 columns , row1 column 1 , 1000 . cubicmillimeters . open , mm cubed , close , column 2 equals 1 . cubiccentimeter . open , cm cubed , close , row2 column 1 , 1 comma 000 comma 000 , cm cubed , column 2 equals 1 . cubicmeter . open , m cubed , close , end table
Liquid Capacity	8 fluid ounces ( fl oz ) = 1 cup ( c ) 2 c = 1 pint ( pt ) 2 pt = 1 quart ( qt ) 4 qt = 1 gallon ( gal ) table with 4 rows and 2 columns , row1 column 1 , 8 . fluidounces . open , floz , close , column 2 equals 1 , cup , open c close , row2 column 1 , 2 c , column 2 equals 1 , pint , open pt close , row3 column 1 , 2 pt , column 2 equals 1 , quart , open qt close , row4 column 1 , 4 qt , column 2 equals 1 , gallon , open gal close , end table	1000 milliliters ( mL ) = 1 liter ( L ) 1000 L = 1 kiloliter ( kL ) table with 2 rows and 2 columns , row1 column 1 , 1000 . milliliters . open mcap l close , column 2 equals 1 , liter , open cap l close , row2 column 1 , 1000 , cap l , column 2 equals 1 . kiloliter . open kcap l close , end table
Weight or Mass	16 ounces ( oz ) = 1 pound ( lb ) 2000 pounds = 1 ton ( t ) table with 2 rows and 2 columns , row1 column 1 , 16 . ounces , open oz close , column 2 equals 1 , pound , open lb close , row2 column 1 , 2000 . pounds , column 2 equals 1 , ton , open t close , end table	1000 milligrams ( mg ) = 1 gram ( g ) 1000 g = 1 kilogram ( kg ) 1000 kg = 1 metric ton table with 3 rows and 2 columns , row1 column 1 , 1000 . milligrams . open mg close , column 2 equals 1 , gram , open g close , row2 column 1 , 1000 , g , column 2 equals 1 . kilogram . open kg close , row3 column 1 , 1000 , kg , column 2 equals 1 . metricton , end table
Temperature	32 ° F = freezing point of water 98.6 ° F = normal human body temperature 212 ° F = boiling point of water table with 3 rows and 2 columns , row1 column 1 , 32 degrees cap f , column 2 equals . freezingpointofwater , row2 column 1 , 98.6 , degrees cap f , column 2 equals . normalhumanbody . . temperature , row3 column 1 , 212 degrees cap f , column 2 equals . boilingpointofwater , end table	0 ° C = freezing point of water 37 ° C = normal human body temperature 100 ° C = boiling point of water table with 3 rows and 2 columns , row1 column 1 , 0 degrees cap c , column 2 equals . freezingpointofwater , row2 column 1 , 37 degrees cap c , column 2 equals . normalhumanbodytemperature , row3 column 1 , 100 degrees cap c , column 2 equals . boilingpointofwater , end table

	Customary Units and Metric Units
Length	1 in. = 2.54 cm 1 mi ≈ 1.61 km 1 ft ≈ 0.305 m table with 3 rows and 2 columns , row1 column 1 , 1 in. , column 2 equals , 2.54 , cm , row2 column 1 , 1 mi , column 2 almost equal to , 1.61 , km , row3 column 1 , 1 ft , column 2 almost equal to , 0.305 , m , end table
Capacity	1 qt almost equal to , 0.946 , cap l
Weight and Mass	1 oz ≈ 28.4 g 1 lb ≈ 0.454 kg table with 2 rows and 2 columns , row1 column 1 , 1 oz , column 2 almost equal to , 28.4 , g , row2 column 1 , 1 lb , column 2 almost equal to , 0.454 , kg , end table

Time
60 seconds ( s ) = 1 minute ( min ) 60 minutes = 1 hour ( h ) 24 hours = 1 day ( d ) 7 days = 1 week ( wk ) 4 weeks ( approx . ) = 1 month ( mo ) 365 days = 1 year ( yr ) 52 weeks ( approx . ) = 1 year 12 months = 1 year 1 year = 1 decade 100 years = 1 century table with 1 row and 3 columns , row1 column 1 , table with 4 rows and 2 columns , row1 column 1 , 60 . seconds . open s close , column 2 equals 1 , minute , open min close , row2 column 1 , 60 . minutes , column 2 equals 1 , hour , open h close , row3 column 1 , 24 , hours , column 2 equals 1 , day , open d close , row4 column 1 , 7 , days , column 2 equals 1 , week , open wk close , end table , column 2 table with 3 rows and 2 columns , row1 column 1 , 4 , weeks , open , approx , . close , column 2 equals 1 , month , open mo close , row2 column 1 , 365 , days , column 2 equals 1 , year , open yr close , row3 column 1 , 52 , weeks , open , approx , . close , column 2 equals 1 , year , end table , column 3 table with 3 rows and 2 columns , row1 column 1 , 12 , months , column 2 equals 1 , year , row2 column 1 , 1 , year , column 2 equals 1 , decade , row3 column 1 , 100 , years , column 2 equals 1 , century , end table , end table

Time

60 seconds ( s ) = 1 minute ( min ) 60 minutes = 1 hour ( h ) 24 hours = 1 day ( d ) 7 days = 1 week ( wk ) 4 weeks ( approx . ) = 1 month ( mo ) 365 days = 1 year ( yr ) 52 weeks ( approx . ) = 1 year 12 months = 1 year 1 year = 1 decade 100 years = 1 century table with 1 row and 3 columns , row1 column 1 , table with 4 rows and 2 columns , row1 column 1 , 60 . seconds . open s close , column 2 equals 1 , minute , open min close , row2 column 1 , 60 . minutes , column 2 equals 1 , hour , open h close , row3 column 1 , 24 , hours , column 2 equals 1 , day , open d close , row4 column 1 , 7 , days , column 2 equals 1 , week , open wk close , end table , column 2 table with 3 rows and 2 columns , row1 column 1 , 4 , weeks , open , approx , . close , column 2 equals 1 , month , open mo close , row2 column 1 , 365 , days , column 2 equals 1 , year , open yr close , row3 column 1 , 52 , weeks , open , approx , . close , column 2 equals 1 , year , end table , column 3 table with 3 rows and 2 columns , row1 column 1 , 12 , months , column 2 equals 1 , year , row2 column 1 , 1 , year , column 2 equals 1 , decade , row3 column 1 , 100 , years , column 2 equals 1 , century , end table , end table

End ofPage 837

Prentice Hall Geometry

Contents in Brief

Series Authors

Consulting Authors

Program Authors

Reviewers National

From the Authors

PowerGeometry.com

Big Ideas

Exploring Concepts

Thinking Mathematically

Active Learning

Practice Makes Perfect

Pearson Video Challenge

Acing the Test

BIG ideas

Entry-Level Assessment

Chapter 1 Tools of Geometry

Get Ready!

1-1 Nets and Drawings for Visualizing Geometry

1-2 Points, Lines, and Planes

1-3 Measuring Segments

1-4 Measuring Angles

1-5 Exploring Angle Pairs

1 Mid-Chapter Quiz

Concept Byte: Compass Designs

1-6 Basic Constructions

Concept Byte: Exploring Constructions

1-7 Midpoint and Distance in the Coordinate Plane

Review: Classifying Polygons

1-8 Perimeter, Circumference, and Area

Concept Byte: Comparing Perimeters and Areas

1 Pull It All Together

1 Chapter Review

1 Chapter Test

1 Cumulative Test Prep

Chapter 2 Reasoning and Proof

Get Ready!

2-1 Patterns and Inductive Reasoning

2-2 Conditional Statements

Concept Byte: Logic and Truth Tables

2-3 Biconditionals and Definitions

2 Mid-Chapter Quiz

2-4 Deductive Reasoning

2-5 Reasoning in Algebra and Geometry

2-6 Proving Angles Congruent

2 Pull It All Together

2 Chapter Review

2 Chapter Test

2 Cumulative Test Prep

Chapter 3 Parallel and Perpendicular Lines

Get Ready!

3-1 Lines and Angles

Concept Byte: Parallel Lines and Related Angles

3-2 Properties of Parallel Lines

3-3 Proving Lines Parallel

3-4 Parallel and Perpendicular Lines

Concept Byte: Perpendicular Lines and Planes

3-5 Parallel Lines and Triangles

Concept Byte: Exploring Spherical Geometry

3 Mid-Chapter Quiz

3-6 Constructing Parallel and Perpendicular Lines

3-7 Equations of Lines in the Coordinate Plane

3-8 Slopes of Parallel and Perpendicular Lines

3 Pull It All Together

3 Chapter Review

3 Chapter Test

3 Cumulative Test Prep

Chapter 4 Congruent Triangles

Get Ready!

4-1 Congruent Figures

Concept Byte: Building Congruent Triangles

4-2 Triangle Congruence by SSS and SAS

4-3 Triangle Congruence by ASA and AAS

Concept Byte: Exploring AAA and SSA

4 Mid-Chapter Quiz

4-4 Using Corresponding Parts of Congruent Triangles

Concept Byte: Paper-Folding Conjectures

4-5 Isosceles and Equilateral Triangles

Algebra Review: Systems of Linear Equations

4-6 Congruence in Right Triangles

4-7 Congruence in Overlapping Triangles

4 Pull It All Together

4 Chapter Review

4 Chapter Test

4 Cumulative Test Prep

Chapter 5 Relationships Within Triangles

Get Ready!

Concept Byte: Investigating Midsegments

5-1 Midsegments of Triangles

5-2 Perpendicular and Angle Bisectors

Concept Byte: Paper Folding Bisectors

5-3 Bisectors in Triangles

Concept Byte: Special Segments in Triangles

5-4 Medians and Altitudes

5 Mid-Chapter Quiz

5-5 Indirect Proof

Algebra Review: Solving Inequalities

5-6 Inequalities in One Triangle

5-7 Inequalities in Two Triangles

5 Pull It All Together

5 Chapter Review

5 Chapter Test

5 Cumulative Test Prep

Chapter 6 Polygons and Quadrilaterals

Get Ready!

Concept Byte: Exterior Angles of Polygons

6-1 The Polygon Angle-Sum Theorems

6-2 Properties of Parallelograms

6-3 Proving That a Quadrilateral Is a Parallelogram

6-4 Properties of Rhombuses, Rectangles, and Squares

6-5 Conditions for Rhombuses, Rectangles, and Squares

6-6 Trapezoids and Kites

6 Mid-Chapter Quiz

Algebra Review: Simplifying Radicals

6-7 Polygons in the Coordinate Plane

6-8 Applying Coordinate Geometry

Concept Byte: Quadrilaterals in Quadrilaterals

6-9 Proofs Using Coordinate Geometry

6 Pull It All Together

6 Chapter Review

6 Chapter Test

6 Cumulative Test Prep

Chapter 7 Similarity

Get Ready!

7-1 Ratios and Proportions

Algebra Review: Solving Quadratic Equations

7-2 Similar Polygons

Concept Byte: Fractals

7-3 Proving Triangles Similar

7 Mid-Chapter Quiz

7-4 Similarity in Right Triangles

Concept Byte: The Golden Ratio

Concept Byte: Exploring Proportions in Triangles

7-5 Proportions in Triangles

7 Pull It All Together

7 Chapter Review

7 Chapter Test

7 Cumulative Test Prep

Chapter 8 Right Triangles and Trigonometry

Get Ready!

Concept Byte: The Pythagorean Theorem

8-1 The Pythagorean Theorem and Its Converse

8-2 Special Right Triangles

Concept Byte: Exploring Trigonometric Ratios

8-3 Trigonometry

8 Mid-Chapter Quiz

Concept Byte: Measuring From Afar

8-4 Angles of Elevation and Depression

Concept Byte: Law of Sines and Law of Cosines

8-5 Vectors

8 Pull It All Together

8 Chapter Review

8 Chapter Test

8 Cumulative Test Prep

Chapter 9 Transformations

Get Ready!

9-1 Translations

Concept Byte: Paper Folding and Reflections

9-2 Reflections

9-3 Rotations

Concept Byte: Tracing Paper Transformations

9-4 Symmetry

9 Mid-Chapter Quiz

9-5 Dilations

Concept Byte: Transformations Using Vectors and Matrices

9-6 Compositions of Reflections

Concept Byte: Frieze Patterns

Concept Byte: Creating Tessellations

9-7 Tessellations

9 Pull It All Together

9 Chapter Review

9 Chapter Test

9 Cumulative Test Prep

Chapter 10 Area

Get Ready!

Concept Byte: Transforming to Find Area

10-1 Areas of Parallelograms and Triangles

10-2 Areas of Trapezoids, Rhombuses, and Kites

10-3 Areas of Regular Polygons

10-4 Perimeters and Areas of Similar Figures

10 Mid-Chapter Quiz

10-5 Trigonometry and Area

10-6 Circles and Arcs

Concept Byte: Circle Graphs

Concept Byte: Exploring the Area of a Circle

10-7 Areas of Circles and Sectors

Concept Byte: Exploring Area and Circumference

10-8 Geometric Probability

10 Pull It All Together

10 Chapter Review

10 Chapter Test

10 Cumulative Test Prep

Chapter 11 Surface Area and Volume

Get Ready!

11-1 Space Figures and Cross Sections

Concept Byte: Perspective Drawing

Algebra Review: Literal Equations

11-2 Surface Areas of Prisms and Cylinders

11-3 Surface Areas of Pyramids and Cones

11 Mid-Chapter Quiz

11-4 Volumes of Prisms and Cylinders

Concept Byte: Finding Volume

11-5 Volumes of Pyramids and Cones

11-6 Surface Areas and Volumes of Spheres

Concept Byte: Exploring Similar Solids

11-7 Areas and Volumes of Similar Solids

11 Pull It All Together

11 Chapter Review

11 Chapter Test

11 Cumulative Test Prep

Chapter 12 Circles

Get Ready!

12-1 Tangent Lines

Concept Byte: Paper Folding With Circles

12-2 Chords and Arcs

12-3 Inscribed Angles

12 Mid-Chapter Quiz

Concept Byte: Exploring Chords and Secants

12-4 Angle Measures and Segment Lengths

12-5 Circles in the Coordinate Plane

12-6 Locus: A Set of Points

12 Pull It All Together

12 Chapter Review

12 Chapter Test

End-of-Course Assessment

Skills Handbook

Using a Ruler and Protractor

Classifying Triangles

Measurement Conversions

Measurement, Rounding Error, and Reasonableness

The Effect of Measurement Errors on Calculations

Squaring Numbers and Finding Square Roots

Evaluating and Simplifying Expressions

Simplifying Ratios

Absolute Value

The Coordinate Plane

Solving and Writing Linear Equations

Percents

Probability

Reference

Table 1 Measures

Table 2 Formulas

Table 3 Reading Math Symbols

Table 4 Properties of Real Numbers

Postulates, Theorems, and Constructions

Visual Glossary

Selected Answers

Index

Acknowledgments