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9780130584175

Geometry

by
  • ISBN13:

    9780130584175

  • ISBN10:

    0130584177

  • Edition: 3rd
  • Format: Hardcover
  • Copyright: 2002-04-01
  • Publisher: Pearson Prentice Hall
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Table of Contents

Acknowledgments ii
The University of Chicago School Mathematics Project iv
Table of Contents
vi
To the Student 1(3)
Points and Lines
4(58)
Dots as Points
6(5)
Locations as Points
11(6)
Ordered Pairs as Points
17(5)
Points in Networks
22(8)
In-Class Activity: Drawing a Box in Perspective
29(1)
Drawing in Perspective
30(5)
The Need for Undefined Terms
35(6)
Postulates for Euclidean Geometry
41(5)
Betweenness and Distance
46(16)
Projects
52(2)
Summary and Vocabulary
54(2)
Progress Self-Test
56(2)
Chapter Review
58(4)
The Language and Logic of Geometry
62(60)
The Need for Definitions
64(5)
``If-Then'' Statements
69(7)
Converses
76(5)
Good Definitions
81(6)
Unions and Intersections of Figures
87(8)
In-class Activity: Defining Polygons
94(1)
Polygons
95(6)
Using an Automatic Drawer: The Triangle Inequality
101(6)
Conjectures
107(15)
Projects
113(2)
Summary and Vocabulary
115(1)
Progress Self-Test
116(2)
Chapter Review
118(3)
Refresher
121(1)
Angles and Lines
122(60)
Angles and Their Measures
124(8)
In-class Activity: Rotating a Triangle
131(1)
Arcs and Rotations
132(5)
Properties of Angles
137(7)
Algebra Properties Used in Geometry
144(6)
One-Step Proof Arguments
150(5)
Parallel Lines
155(6)
Perpendicular Lines
161(6)
Drawing Parallel and Perpendicular Lines
167(15)
Projects
172(2)
Summary and Vocabulary
174(2)
Progress Self-Test
176(2)
Chapter Review
178(4)
From Reflections to Congruence
182(60)
Reflecting Points
184(7)
In-class Activity: Reflecting Polygons
190(1)
Reflecting Figures
191(6)
Miniature Golf and Billiards
197(6)
Composing Reflections over Parallel Lines
203(7)
Composing Reflections over Intersecting Lines
210(6)
Translations and Vectors
216(6)
Isometries
222(6)
When are Figures Congruent?
228(14)
Projects
233(2)
Summary and Vocabulary
235(1)
Progress Self-Test
236(2)
Chapter Review
238(4)
Proofs Using Congruence
242(2)
Corresponding Parts of Congruent Figures
244(6)
Congruence and Equality
250(6)
One-Step Congruence Proofs
256(6)
In-class Activity: Circle Constructions
262(1)
Proofs Using Transitivity
263(6)
In-class Activity: Investigating Perpendicular Bisectors
269(1)
Proofs Using Reflections
270(6)
Auxiliary Figures and Uniqueness
276(5)
Sums of Angle Measures in Polygons
281(7)
Projects
288(2)
Summary and Vocabulary
290(1)
Progress Self-Test
291(1)
Chapter Review
292

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