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9780395501207

Basic Geometry

by
  • ISBN13:

    9780395501207

  • ISBN10:

    0395501202

  • Format: Hardcover
  • Copyright: 1990-01-01
  • Publisher: Houghton Mifflin College Div
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List Price: $74.88

Table of Contents

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

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