Holt California Geometry

1089 Pages·2008·60.84 MB·English

by  Edward Burger, David J. Chard, Earlene J. Hall, Paul A. Kennedy, Steven J. Leinwand

CALIFORNIA

Geomet

Edward B. Burger
David J. Chard
Earlene J. Hall
Paul A. Kennedy
Steven J, Leinwand
Freddie L. Renfro
Tom W. Roby

Dale G, Seymour
Bert K. Waits

es, ee

A Harcourt Edoration ‘Company
‘Diiand + Ausain» Hes York Sa DiageLodan!
aor plaats Cemury ita
aii ChaaSlanieny et

ine nrisdtions

alu Ha Sa

Anges,

Gover photo Say Alntrous Lante waster

Sin Laie inp

ys usa NG
California Geometry

Contents in Brief

CHAPTER 1
CHAPTER
CHAPTER
CHAPTER
CHAPTER
CHAPTER
CHAPTER
CHAPTER

wo earvrnn sun

CHAPTER

CHAPTER 10
CHAPTER 11.
CHAPTER 12

Foundations for Geometry

Geometric Reasoning

Parallel and Perpendicular Lines
Triangle Congruence

Properties and Attributes of Triangles.
Polygons and Quadrilaterals
Similarity

Right Triangles and Trigonometry

Extending Perimeter, Circumference,
and Area

Spatial Reasoning.
Circles .
Extending Transformational Geometry

Student Handbook
Extre ‘
Problem Solving Handbook.

‘Skills Bank

Postulates, Theorems, and Corollaries

ctice

Selected Answers
Glossary
index

742

820

S115
5161

Symbols and Formulas Inside Back Cover
Edward B, Burger,
PhD. Is Fofesst of
Mathematics ad Chai
Wiliams College and
isthe aot of mimes
ales books and vides
He hos won several of

the must prestigious
wing and teaching
Sos offered by the
Mathematical Astcatcn
of Ameiea. Barge hae
‘made numerous television
and tadio appearances,
anid Ns given nrumerabie
‘mathematical performances
"woud the wal

Paul A. Kennedy.
PhD, isa rotesor

i Oe Depart of
Mathematics at Colorado
State Unis Or Keane
isa eade in mathematics
education Hs esearch
fheuses on developing
algebraic thinking by sing
‘ull representations and
technology, He isthe author
of ramerousyubleations

David J. Chard,
PhD, 30 Associate
Dean of Curriculum and
Academic Programs at
‘the Univesity of Oregon
Ho is the President af the
‘vision for Research at
the Coun or Exceptional
Chichen is @ meiiber of
the international Academy
fer Research ot Leaining
Disabities, ands the
Principal Fvestgatar

‘an swe major research
projects forthe US
Department of Education,

Earlene J. Hall, Ed.D.,
iste middie schoo!
mathematic supetvsor

for Detroit Public School
and an adjunct professor
at Wayne State Unvesity
in Dru, Michigan, where
she teaches graduate

courses the G
of Education

Steven 5, Leinwand
spent 22 years as the
Mathematics Supervisor
vith the Connecticut
Depautment of Education
He is currently @ Principal
Reseatch Analyst at the
“American Institutes tar
Reseaich
Freddie L. Renfro,
MA, has 35 yeas of
‘experience in Texas
‘education as a dasstoom
teathet and directotl
‘coordinator of Mathematics
Prek12 for school disncts

) | inthe Houston area. She
nas sewed as 2 reviewer
and tear) tain for Texas
Math Institutes and has
presented at numerous
‘math wvorkshops,

Dale G. Seymour

isa reteed mathematics
teacher, autho, speaker
publisher ale fue
Create Publications
1968, and went on vo found
so other mathematics
‘wilching companies
‘reatng mathematicl
sculptures S one of Nis
rary hobbies

CALIFORNIA ADVISORS

Lee Haines s 2njnernatonal
Baccalaureate Coordinator and
Math Academic Coach foe San
Bernardino ity Schools, 2004,
‘he was awaaded the Region 10
California League of Mike Schoo's
Educator ofthe Yew Award,

‘Tom W. Roby, Ph.D.
(sAspotate Professor of
Mathematics and Bector
ofthe Quantsatve
Lesiming Center atthe
Uinwvesity of Conmecticut
He founded ad corded
theACCLAM professional
evelopment prog He
aso chaved the advisory
" Board of he Cafomia
Mathematics Project, and
Jevieted conten for the
California Standards Tests

Bert K. Waits, Ph.D.,
Isa Professor Emeritus of
Mathematics 3t The Ohia
State University and co.
founder of 1 (Teachers
“Teaching with Technology
2 national professional
‘evelopment program

.

Wendy Taub-Hoglund is 0
Teacher Expert Secondary Math
with Los Angeles Untied Shoal
Distt. She has receved munerous
awards fr excellence teaching,
and has coauthored math review
‘books for test preparation
CALIFORNIA TEACHER ADVISORY PANEL

Kay tarrie Carole Kuck
Mate paren has Miah eprint Char
ovata Hen ar

Tres GN San ieee

oust erry Davi, sattoon
Math tense Mh sehr

Dea Mi Pai ator I
ison Patines c\

hart Batons Iynette Mecttutock
Sta Curiam pec Mah Sctenge ar
Anaheim ton SSDs Thnmpson NS

Anutenn (4 wast

Lorrie Wineters Buehler Reasymacetencesea
Perri Mi fener

Bay Gey Fenny St Cts

Upli Gaon

Mary chtaverint John (ck) # Nunes
nt are Sian four pnt Departmen der
Mavis Ms pees

tiny Sabana
Pauline Embree Jong Sun Park

Mat isp Cha rane

Rane un Ms iam

tn ca Nin

Sand Enoch farbara Parr

‘Math Lead Teacher Math fenchier
Hesert Hoa Springs 1 son MS

Deset! Hot Springs C3, stil CA
‘Trlela Gough Donna Phair

Muh Deyarimunt Chad Math biopartment Chair
Emerson MS \Watian Hopkins fumior bs
Varma. 4 Fremany, CA

Lee tiaines Donald n. Price

AH Cooma Mba Cael her

an Hernaraina Cliy Seis He Inverts Sel
San Hrandinn, CA vine. A

Shasmon Kelly Jenniier Randet

Mah Teacher Math/Setoncy feces: Grado Love! Chute
Gentennial TIS Thompsn Sty

Carona, CA Murtieta. CA

Usa Kernaghan Wendy Taub-Htogiund

Mails feacher Ada

nyt Teaches

pert Seronidary Math

Oak Creed, lsteritediate Seo Tos Angeles USD,
Gaklnursts CX Hiss Angele OA
MaryAnn Krementivy Matthew 1.Ting
Math Teacher ‘nth Cael
Fvothill MS TAUSD Local b

Wal Crook. ON Los Angeles, CA
REVIEWERS

Robert Brouhle
Mathematics Department Fshave retired
‘Minna High Sehil

Hhuntingian fowl, CA

Carey Carter
Mathematis Teacher

Fverman foe C Rean Tigh Seioot
wera, 1.

Greg Davis
Dupartmaent Chats, rered
Vosdi igh Sel

Lodi, WE
Hoger Futter
Mathematics Dupartinont Chae

‘Grand Prairie High Selon!
(Grand Prarie, TX

Anthony Gugliotta
Supervisor of Minh & Serene
Karns Far Haven Hegional HS
Murnson, NF

Marleta W. Harris
Mahomatlt’s Specialist
Meaphiss TN

Debbie Hecky
Geometry Teacher
‘Seni High Sehts
Covington RY

‘Cynthia Hodges
‘Department Chair
Shoemaker Hid Seoul

Kathteen Kelly
Mathemali's Bepariineit hth retitod

Mike Kingery
Moitiematics Teacter
Mayfiel igh Sehval
Tas Cruces, NM

Joy Lindsay
Mathematics Instructor
Honita High Sehout

Kim:
Geometry Teacher

Viag Abamints Ligh Sent
os Mamitas, CA

Roger O'Brien
Mathematics Cons
Vakoland, Florida

Etatne Pappas

hemalies Departs Chait
ar Shoals High School
Ais. Gi

Cynsntiont
Conps Chatisth TY

Jaue Schnelder
Mathematics Depurtinenr ti
arksty West High Schoo
Nalin, MO

Jamae Sellart
‘Matbetaties Instructor
Vorest ll High Sehont
Ja ksi MS,

Caren Sorrells
Mathematics Coordmator
Nirdvite ISD)

Hallo City, 1X

E, Robin Staudenmeter
Midle/ High Sehout Mah Coutdiratar
Olympia Community HSH 16
Slawiont. I

‘Maureen “Marute" Stockman
Genmetry Specialist wad Consul
da, MID

Anna Valder
Geometry Teachor
Nik Rove: High Solio
Meal

Lanratea Wright
Muathesmatis Teacher
in High Sthanl
In Se

a

Denise Young

Mathematics Teacher
lu: Valle West igh Sell
‘Ovestand Park. KS-

FIELD TEST PARTICIPANTS

Carey Carter
Alvarado High Sebi
‘Awvarad, PY

Walter Babst
Honita High Schoo!
La Vien, GA

JU Morris
Navasota High Sehoul
Navasota. TX

Ruth Stutzman

Iolferson Vorest Ligh School
Voreati VA.
Foundations

© gokew.cow

for Geometry
Ant You Reapy? 3

Euclidean and Construction Tools

=) 4-4. Understanding Points, Lines, and Planes... 6
2D Explore Properties Associated with Points qu. 12
‘@ tll) 1-2. Measuring and Constructing Segments . 13
00 4-3. Measuring and Constructing Angles... 20
fru 4-4 Pairs of Angles rena 238
CONCEPT CONNECTION . - rt . 34
ReAny Yo Go ON? Quiz 35

Coordinate and Transformation Tools
en) 65. Using Formulas in Geometry ¥ 36

Pye ent Connecting Geometry to Algebra:

Graphing in the Coordinate Plane az
Jol fy) PeF04-6 Midpoint and Distance in the Coordinate Plane 43
©) 1-7 Transformations in the Coordinate Plane. 4s 50
20 EDD Explore Transformations @ .... seo SB
Concert Connecrion- . + 58
Reaoy To Go On? Quiz iia 88
Unpacking the Standards 4
Reading and Writing Math ‘ 3
Study Guide: Review ‘ aad os . 60

Reading Math
Weiting Math 1 18 2614 0a SA

Vocabulary 3.5.91), 24 91 36 4%
5.60

Chapter Test,

Tools for Success

‘Test Prop Exercises |. 19,733,
cies

Concept Connection (0,18 26,92,
IAB, 5A. SB

Know-It Notes 6,7, 13,14, 1620.21
22.24, 28 29,81, 37, 42,44, 45,46,
50.52

Graphie Organizers 4 (5 24,31,17
452

Homework Help Online $17, 24,38
3847.5

College Entrance Exam Practice 6
Strategies for Success 5
Standardized Test Prop 6%
10910 24 Using Inductive Reasoning to Make Conjectures "
Connecting Geometry to Number Theory:
Vent Diagrams 20
8) 2-2 Conditional Statements a
123. Using Deductive Reasoning to Verity Conjectures. ae
1) €EDD Solve Logic Puzzies 24
21 24 Bicondlitional Statements and Definitions 96
Concept CaNNECTION 102 =f
Reany to Go On? Que 103 a
Mathematical Proof Dd
Fy @20 25 Algebraic Proof 108
12) 26 Geometric Proof 110 6
26 EDD Design Plans for Proofs Ww h
$1089 27 Flowchart and Paragraph Proofs ne a
Conczer Connection 126
Reaoy to Go ON? Quiz 2 °
10) EXT Introduction to Symbolic Logie 128 3
Unpacking the Standards. n o
Reading and Writing Math B =]
study Guide: Review 130 P<
Chapter Test 134 an

Geometric Reasoning

Ane You READY? n

Inductive and Deductive Reasoning

Frablem Solving on Location California

Tools for Success

aie
vars

‘Tost Prop Exercises. /, 8}. 101,
Know-tt Notes 75, 76,4343, #488, Toa

"2,38 10H 106,07, 110,111,112, 114, | Concept Connection 78, 5,92, 100
1a, 190 128. 18 MD, Ws 124126

1H, TN7, 115,325
Vocabulary 7172.77,8491-9 107, | Sti Organizers 7h, v8 07, | College Entrance Exam Practice (35
M4 122,118 nate Stratogies for Success |

Homework Help Online 77,0. | standardized Test Prey
WOH Ta 2D Standardized Test Prep 15
Parallel and
Perpendicular Lines

Stormer 143

EA # ganrwcom = * Lines with Transversals
ag pee) 34 Lines and Angles 146

Picea: Sxeacingeccman sain

ha Systems of Equations 152
Prop €10 LDP Explore Parallel Lines and fransversals ge 14
$i) 32. Angles Formed by Parallel Lines and Transversals... .. 155
©) i) 3-3 Proving Lines Parallel 182

ED construct Parallel Lines 170

$10 10 FA Perpendicular Lines ve
10) QD construct Perpendicular Lines. vs
‘Concert CONNECTION ‘veo

Reaoy ro Go On? Quiz bein

Coordinate Geometry

foul 3S. Slopes of Lines 12
toy | LD Explore Parallel and Perpendicular Lines % 188
Pye 346 Lines in the Coordinate Plane 190
Noo 2sune2 Connecting Geometry to Data Analysis:

‘Scatter Plots and Lines of Best Fit
Concert Connection
Reaoy te Go ON? Que

Unpacking the Standards aa
Reading and Writing Math as
‘Study Guide: Review 202

Chapter Test

Tools for Success

sun

Sale
iting Math 4 10 rate Test Prep Exercises 150.51
ing Math 1,18 17, Study Strategy 145 Pe Ener 13094

Row-tt Motes 65,147, 148,155,455 | Te-t0)
Vocabulary 14.184 18175 185 Tsim NeaF a4 1218418 | concept Comcton So

tye sia, [tsa 0
raphe Organizes 1, 57,165,171 ;
phic ganibas 144 19 Collage Entrance Exam Practica 207
Homework Help Online {4,158 166, | Strategies for Success 108

re ia Standardized Test Prep 210