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Tables of Contents for Basic Geometry
Chapter/Section Title
Page #
Page Count
UNIT A
Points, Lines, and Angles
Beginning Your Study of Geometry
4
2
Points and Lines
6
4
Angles
10
5
Classifying Angles
15
3
Vertical Angles
18
2
Angle Bisectors
20
5
Three Constructions
25
4
Postulates of Equality
29
4
Postulates of Geometry
33
13
Features
Consumer Applications
14
3
Puzzle Problems
17
5
Experiments
22
1
Applications
23
9
Career Notes
32
5
Reviews and Tests
Self-Tests
37
1
Skills Review
38
1
Chapter Review
39
2
Chapter Test
41
1
Mixed Review
42
4
Introducing Proof
Three Theorems
46
4
``If...then'' Statements
50
6
Reaching Conclusions (Optional)
56
4
Writing Proofs
60
6
Parallel Lines
66
6
Proving Lines Parallel
72
5
Constructing Parallel Lines
77
15
Features
Applications
54
5
Career Notes
59
12
Calculator Activities
71
5
Consumer Applications
76
5
Reading Geometry
81
1
Problem Solving Strategies
82
 
Reviews and Tests
Self-Tests
80
4
Skills Review
84
1
Chapter Review
85
2
Chapter Test
87
1
Cumulative Review
88
4
UNIT B
Triangles
The Angle Sum of a Triangle
92
5
Classifying Triangles
97
5
Defining Congruent Triangles
102
5
The SSS Postulate
107
8
The SAS Postulate
115
6
The ASA Postulate
121
5
The AAS and HL Theorems
126
18
Features
Puzzle Problems
101
12
Applications
113
7
Experiments
120
1
Consumer Applications
120
5
Career Notes
125
8
Reading Geometry
133
2
Computer Activities
135
 
Reviews and Tests
Self-Tests
101
35
Skills Review
136
1
Chapter Review
137
2
Chapter Test
139
1
Mixed Review
140
4
Using Congruent Triangles
Proving Corresponding Parts Equal
144
5
Congruent Triangles and Constructions
149
5
Segment Bisectors
154
4
Altitudes and Medians of Triangles
158
5
Inscribed and Circumscribed Circles
163
4
Triangles with Two Equal Sides
167
6
Triangles with Two Equal Angles
173
17
Features
Consumer Applications
148
5
Reading Geometry
153
4
Puzzle Problems
157
5
Experiments
162
10
Career Notes
172
7
Applications
179
1
Problem Solving Strategies
180
 
Reviews and Tests
Self-Tests
152
30
Skills Review
182
1
Chapter Review
183
2
Chapter Test
185
1
Cumulative Review
186
4
UNIT C
Polygons
Introducing Polygons
190
4
Angle Sums of Polygons
194
4
Special Quadrilaterals
198
5
Properties of Parallelograms
203
6
Properties of Special Parallelograms
209
5
Proving Figures Are Parallelograms
214
6
Properties of Trapezoids
220
5
The Midpoints Theorem
225
13
Features
Experiments
193
9
Career Notes
202
6
Applications
208
16
Puzzle Problems
224
5
Reading Geometry
229
 
Reviews and Tests
Self-Tests
197
33
Skills Review
230
1
Chapter Review
231
2
Chapter Test
233
1
Mixed Review
234
4
Areas
Areas of Rectangles
238
5
Areas of Parallelograms
243
4
Areas of Triangles
247
3
Areas of Trapezoids
250
5
The Pythagorean Theorem
255
4
Converse of Pythagorean Theorem
259
4
Circumferences of Circles
263
5
Areas of Circles
268
18
Features
Consumer Applications
246
8
Puzzle Problems
254
8
Career Notes
262
10
Applications
272
2
Problem Solving Strategies
274
2
Computer Activities
276
 
Reviews and Tests
Self-Tests
246
32
Skills Review
278
1
Chapter Review
279
2
Chapter Test
281
1
Cumulative Review
282
4
UNIT D
Ratios and Proportions
Ratios
286
3
Proportions
289
4
Using Proportions
293
3
Maps and Scale Drawings
296
3
Making Maps and Scale Drawings
299
13
Features
Calculator Activities
292
3
Puzzle Problems
295
7
Applications
302
 
Reviews and Tests
Self-Tests
295
9
Skills Review
304
1
Chapter Review
305
2
Chapter Test
307
1
Mixed Review
308
4
Similar Polygons
Defining Similar Polygons
312
5
The AA Postulate
317
6
A Special Case of Similar Triangles
323
2
The Triangle Proportionality Theorem
325
4
Perimeters and Areas
329
17
Features
Career Notes
316
6
Calculator Activities
322
2
Puzzle Problems
324
9
Experiments
333
1
Applications
334
2
Problem Solving Strategies
336
 
Reviews and Tests
Self-Tests
322
16
Skills Review
338
1
Chapter Review
339
2
Chapter Test
341
1
Cumulative Review
342
4
UNIT E
Circles
Basic Terms
346
4
Tangents
350
5
Arcs and Central Angles
355
4
Chords
359
5
Inscribed Angles
364
5
Other Angles
369
4
Segments of Chords
373
15
Features
Experiments
349
1
Consumer Applications
349
5
Puzzle Problems
354
23
Applications
377
1
Computer Activities
378
 
Reviews and Tests
Self-Tests
358
22
Skills Review
380
1
Chapter Review
381
2
Chapter Test
383
1
Mixed Review
384
4
Areas and Volumes of Solids
Lines and Planes in Space
388
5
Right Prisms
393
5
Right Circular Cylinders
398
4
Regular Pyramids
402
4
Right Circular Cones
406
4
Spheres
410
4
Similar Solids (Optional)
414
14
Features
Experiments
392
1
Consumer Applications
392
9
Puzzle Problems
401
8
Calculator Activities
409
4
Applications
413
4
Reading Geometry
417
1
Problem Solving Strategies
418
 
Reviews and Tests
Self-Tests
401
19
Skills Review
420
1
Chapter Review
421
2
Chapter Test
423
1
Cumulative Review
424
4
UNIT F
Right Triangles
Reviewing Right Triangles
428
4
Special Right Triangles
432
5
Using Special Right Triangles
437
3
Diagonals of Rectangular Solids
440
3
Right Triangles in Pyramids and Cones
443
4
The Tangent Ratio
447
5
The Sine and Cosine Ratios
452
16
Features
Applications
431
5
Calculator Activities
436
6
Puzzle Problems
442
9
Career Notes
451
 
Reviews and Tests
Self-Tests
439
21
Skills Review
460
1
Chapter Review
461
2
Chapter Test
463
1
Mixed Review
464
4
Coordinate Geometry
Points and Coordinates
468
4
Distance Between Two Points
472
4
Midpoint of a Segment
476
10
Slope of a Line
486
5
Parallel and Perpendicular Lines
491
5
Equations and Lines
496
5
Coordinate Geometry Proofs
501
14
Features
Calculator Activities
475
7
Applications
482
18
Career Notes
500
6
Problem Solving Strategies
506
2
Computer Activities
508
 
Reviews and Tests
Self-Tests
480
30
Skills Review
510
1
Chapter Review
511
2
Chapter Test
513
1
Cumulative Review
514
1
Table of Squares
515
1
Table of Square Roots
516
1
Table of Trigonometric Ratios
517
1
Postulates
518
1
Theorems
519
3
Constructions
522
1
Review Exercises
523
8
Appendix: Transformational Geometry
531
16
Glossary
547
8
Index
555
8
Answers to Self-Tests
563
3
Answers to Selected Exercises
566
18
Acknowledgments
584