ISBN-10:
0201812606
ISBN-13:
9780201812602
Pub. Date:
01/01/1994
Publisher:
Pearson Education
Geometry / Edition 1

Geometry / Edition 1

by Stanley Clemens

Hardcover

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Product Details

ISBN-13: 9780201812602
Publisher: Pearson Education
Publication date: 01/01/1994
Edition description: Student Edition

Table of Contents

Basic Ideas of Geometry
Definitions and Postulates
Points, Lines, Planes, and Space
3(5)
Study Skills
7(1)
Distance and Segment Measure
8(5)
Computer Activity
12(1)
Rays, Angles, and Angle Measure
13(7)
Career
19(1)
Congruent Segments and Angles
20(6)
Calculator Investigation
25(1)
Triangles
26(6)
Quiz
30(1)
Comparing Approaches in Geometry
31(1)
Reasoning
Conditional Statements
32(7)
Connections
38(1)
Drawing and Supporting Conclusions
39(6)
Enrichment
44(1)
Deductive Reasoning-Using Algebraic Properties
45(12)
Quiz
50(1)
Critical Thinking
51(1)
Chapter Summary and Review
52(2)
Chapter Test
54(1)
Problem Solving
55(2)
Introduction to Proof
Proof: Segments, Lines, and Angles
Two-Column Proofs
57(6)
Historical Note
62(1)
Complementary, Supplementary, and Vertical Angles
63(6)
Computer Activity
68(1)
Perpendicular Lines
69(6)
Quiz
74(1)
Planning and Writing Proofs
Drawing and Using Diagrams
75(5)
Enrichment
79(1)
Planning and Writing a Proof
80(6)
Study Skills
85(1)
Proving Theorems: Segments and Lines
86(6)
Math Contest Problem
91(1)
Proving Theorems: Angles
92(13)
Quiz
98(1)
Critical Thinking
99(1)
Chapter Summary and Review
100(2)
Chapter Test
102(1)
Preparing for College Entrance Exams
103(2)
Parallel Lines and Planes
Parallelism in Lines and Planes
Parallel Planes, Lines, and Transversals
105(6)
Computer Activity
110(1)
Properties of Parallel Lines
111(6)
Connections
116(1)
Proving Lines Parallel
117(6)
Quiz
121(1)
Comparing Approaches in Geometry
122(1)
Angle Sum Theorems
Angles of a Triangle
123(6)
Enrichment
128(1)
Theorems Related to the Angle Sum Theorem for Triangles
129(6)
Historical Note
134(1)
Angles of a Polygon
135(14)
Quiz
140(1)
Critical Thinking
141(1)
Chapter Summary and Review
142(2)
Chapter Test
144(1)
Problem Solving
145(1)
Cumulative Review
146(3)
Congruent Triangles
Triangles and Congruence
Congruent Triangles
149(4)
Study Skills
152(1)
Congurence Postulates
153(6)
Quiz
158(1)
Proving Triangles Congruent
Proofs: Using Congruence Postulates
159(7)
Computer Activity
165(1)
Proving Segments and Angles Congruent
166(6)
Enrichment
171(1)
Proofs: Overlapping Triangles
172(5)
Quiz
176(1)
Theorems about Triangles
Isosceles Triangles
177(7)
Biographical Note
183(1)
AAS Congruence and Right Triangle Congruence
184(5)
Connections
188(1)
Medians, Altitudes, and Perpendicular Bisectors
189(12)
Quiz
193(1)
Comparing Approaches in Geometry
194(1)
Critical Thinking
195(1)
Chapter Summary and Review
196(2)
Chapter Test
198(1)
Discrete Math
199(2)
Using Congruent Triangles and Parallel Lines
Quadrilaterals
Properties of Parallelograms
201(6)
Study Skills
206(1)
Proving Quadrilaterals are Parallelograms
207(6)
Computer Activity
212(1)
Rectangles, Rhombuses, and Squares
213(7)
Math Contest Problem
218(1)
Comparing Approaches in Geometry
219(1)
Trapezoids
220(4)
Quiz
223(1)
Triangles and Inequalities
The Midsegment Theorem
224(6)
Enrichment
229(1)
Indirect Proof
230(6)
Career
235(1)
Inequalities in One Triangle
236(7)
Connections
242(1)
Inequalities in Two Triangles
243(12)
Quiz
247(1)
Discrete Math
248(1)
Critical Thinking
249(1)
Chapter Summary and Review
250(2)
Chapter Test
252(1)
Problem Solving
253(2)
Similarity
Ratio, Proportion, and Similarity
Ratio and Proportion
255(4)
Calculator Investigation
258(1)
Properties of Proportion
259(5)
Enrichment
263(1)
Similar Polygons
264(5)
Quiz
268(1)
Similar Triangles
AA Similarity Postulate
269(6)
Connections
274(1)
SAS and SSS Similarity Theorems
275(6)
Computer Activity
280(1)
Segments Divided Proportionally
281(14)
Quiz
286(1)
Critical Thinking
287(1)
Chapter Summary and Review
288(2)
Chapter Test
290(1)
Preparing for College Entrance Exams
291(1)
Cumulative Review
292(3)
Right Triangles
Right Triangle Relationships
Right Triangle Proportions
295(6)
Career
300(1)
The Pythagorean Theorem
301(6)
Enrichment
306(1)
The Converse of the Pythagorean Theorem
307(5)
Computer Activity
311(1)
Special Right Triangles
312(7)
Quiz
317(1)
Comparing Approaches in Geometry
318(1)
Trigonometric Ratios
The Tangent Ratio
319(6)
Calculator Investigation
324(1)
The Sine and Cosine Ratios
325(6)
Math Contest Problem
330(1)
Angles of Elevation and Depression
331(10)
Quiz
334(1)
Critical Thinking
335(1)
Chapter Summary and Review
336(2)
Chapter Test
338(1)
Problem Solving
339(2)
Circles
Tangents, Arcs, and Chords
Basic Terms
341(4)
Connections
344(1)
Tangent Lines
345(6)
Career
350(1)
Common Tangents and Tangent Circles
351(4)
Math Contest Problem
354(1)
Arcs and Their Measure
355(5)
Enrichment
359(1)
Chords of Circles
360(6)
Quiz
365(1)
Angles and Segments
Inscribed Angles
366(7)
Computer Activity
372(1)
Angles of Chords, Secants, and Tangents
373(6)
Biographical Note
378(1)
Segments of Chords, Secants, and Tangents
379(12)
Quiz
384(1)
Critical Thinking
385(1)
Chapter Summary and Review
386(2)
Chapter Test
388(1)
Preparing for College Entrance Exams
389(2)
Constructions and Loci
Basic Constructions
Segments, Angles, and Bisectors
391(5)
Historical Note
395(1)
Perpendicular and Parallel Lines
396(5)
Study Skills
400(1)
Circles
401(4)
Computer Activity
404(1)
Special Segments
405(5)
Connections
409(1)
Concurrency Theorems for Triangles
410(5)
Quiz
414(1)
Locus
Simple Locus
415(5)
Enrichment
419(1)
Compound Locus
420(4)
Math Contest Problem
423(1)
Construction and Loci
424(13)
Quiz
427(1)
Discrete Math
428(1)
Critical Thinking
429(1)
Chapter Summary and Review
430(2)
Chapter Test
432(1)
Problem Solving
433(1)
Cumulative Review
434(3)
Area and Perimeter of Polygons
Area of Polygons
Perimeter and Area of Rectangles
437(6)
Biographical Note
442(1)
Areas of Parallelograms and Triangles
443(6)
Enrichment
448(1)
Areas of Trapezoids and Other Quadrilaterals
449(6)
Calculator Investigation
454(1)
Area of Regular Polygons
455(6)
Career
460(1)
Ratios of Areas and Perimeters of Similar Polygons
461(6)
Quiz
466(1)
Area and Circles
Circumference and Arc Length
467(6)
Computer Activity
472(1)
Areas of Circles, Sectors, and Segments
473(12)
Quiz
478(1)
Critical Thinking
479(1)
Chapter Summary and Review
480(2)
Chapter Test
482(1)
Discrete Math
483(2)
Surface Area and Volume
Prisms and Pyramids
Surface Area of Prisms
485(6)
Career
490(1)
Surface Area of Pyramids
491(5)
Enrichment
495(1)
Volume of Prisms
496(5)
Calculator Investigation
500(1)
Volume of Pyramids
501(5)
Quiz
504(1)
Discrete Math
505(1)
Cylinders, Cones, and Spheres
Surface Area and Volume of Cylinders
506(5)
Math Contest Problem
510(1)
Surface Area and Volume of Cones
511(6)
Computer Activity
516(1)
Surface Area and Volume of Spheres
517(5)
Historical Note
521(1)
Surface Area and Volume of Similar Solids
522(11)
Quiz
526(1)
Critical Thinking
527(1)
Chapter Summary and Review
528(2)
Chapter Test
530(1)
Problem Solving
531(2)
Coordinate Geometry
Segments and Lines
Midpoint of a Segment
533(5)
Biographical Note
537(1)
Slope of a Line
538(4)
Computer Activity
541(1)
Slopes of Perpendicular and Parallel Lines
542(5)
Computer Activity
546(1)
Equations of Lines
547(5)
Quiz
551(1)
Using the Distance Formula
The Distance Formula
552(5)
Connections
556(1)
The Equations of a Circle
557(4)
Quiz
560(1)
Coordinate Proofs
Organizing Proofs
561(6)
Enrichment
566(1)
Proving Theorems
567(10)
Quiz
570(1)
Critical Thinking
571(1)
Chapter Summary and Review
572(2)
Chapter Test
574(1)
Preparing for College Entrance Exams
575(2)
Transformations
Mappings
Reflections and Line Symmetry
577(6)
Enrichment
582(1)
Translations and Translational Symmetry
583(5)
Connections
587(1)
Rotations and Rotational Symmetry
588(6)
Computer Activity
593(1)
Compositions of Mappings
594(6)
Quiz
599(1)
Isometries and Dilations
Isometries and Congruence
600(5)
Biographical Note
604(1)
Dilations
605(5)
Discrete Math
609(1)
Dilations and Similarity
610(12)
Quiz
614(1)
Critical Thinking
615(1)
Chapter Summary and Review
616(2)
Chapter Test
618(1)
Problem Solving
619(1)
Cumulative Review
620(2)
Algebra Review 622(9)
Statistics 631(3)
Computer Exploration 634(28)
Milestones in Mathematics 662(4)
Symbols and Formulas 666(2)
Trignometry Tables 668(1)
Table of Squares and Square Roots 669(1)
Postulates and Theorems 670(8)
Glossary 678(5)
Selected Answers 683(33)
Photo Acknowledgements 716(1)
Index 717

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