Test Bank for Elementary Geometry for College Students, 7th Edition, Daniel C.
Alexander Geralyn M. Koeberlein
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1. Title Page 2. Copyright Page 3. Contents 4. Preface 5. Acknowledgments 6. Foreword 7. Index of Applications 8. Chapter P: Preliminary Concepts 9. P.1 Sets and Geometry 10.P.2 Statements and Reasoning 11.P.3 Informal Geometry and Measurement 12.PERSPECTIVE ON HISTORY: Our Greek Heritage 13.PERSPECTIVE ON APPLICATIONS: One-to-One Correspondence 14.Summary 15.Review Exercises 16.Chapter P Test 17.Chapter 1: Line and Angle Relationships 18.1.1 Early Definitions and Postulates 19.1.2 Angles and Their Relationships 20.1.3 Introduction to Geometric Proof 21.1.4 Relationships: Perpendicular Lines 22.1.5 The Formal Proof of a Theorem 23.PERSPECTIVE ON HISTORY: The Development of Geometry 24.PERSPECTIVE ON APPLICATIONS: Patterns 25.Summary 26.Review Exercises 27.Chapter 1 Test 28.Chapter 2: Parallel Lines 29.2.1 The Parallel Postulate and Special Angles 30.2.2 Indirect Proof 31.2.3 Proving Lines Parallel 32.2.4 The Angles of a Triangle 33.2.5 Convex Polygons 34.2.6 Symmetry and Transformations 35.PERSPECTIVE ON HISTORY: Sketch of Euclid 36.PERSPECTIVE ON APPLICATIONS: Non-Euclidean Geometries 37.Summary 38.Review Exercises 39.Chapter 2 Test 40.Chapter 3: Triangles 41.3.1 Congruent Triangles 42.3.2 Corresponding Parts of Congruent Triangles 43.3.3 Isosceles Triangles 44.3.4 Basic Constructions Justified 45.3.5 Inequalities in a Triangle 46.PERSPECTIVE ON HISTORY: Sketch of Archimedes
47.PERSPECTIVE ON APPLICATIONS: The Geodesic Dome 48.Summary 49.Review Exercises 50.Chapter 3 Test 51.Chapter 4: Quadrilaterals 52.4.1 Properties of a Parallelogram 53.4.2 The Parallelogram and Kite 54.4.3 The Rectangle, Square, and Rhombus 55.4.4 The Trapezoid 56.PERSPECTIVE ON HISTORY: Sketch of Thales 57.PERSPECTIVE ON APPLICATIONS: Square Number as Sums 58.Summary 59.Review Exercises 60.Chapter 4 Test 61.Chapter 5: Similar Triangles 62.5.1 Ratios, Rates, and Proportions 63.5.2 Similar Polygons 64.5.3 Proving Triangles Similar 65.5.4 The Pythagorean Theorem 66.5.5 Special Right Triangles 67.5.6 Segments Divided Proportionally 68.PERSPECTIVE ON HISTORY: Ceva•fs Proof 69.PERSPECTIVE ON APPLICATIONS: Generating Pythagorean Triples 70.Summary 71.Review Exercises 72.Chapter 5 Test 73.Chapter 6: Circles 74.6.1 Circles and Related Segments and Angles 75.6.2 More Angle Measures in the Circle 76.6.3 L ine and Segment Relationships in the Circle 77.6.4 Some Constructions and Inequalities for the Circle 78.PERSPECTIVE ON HISTORY: Circumference of the Earth 79.PERSPECTIVE ON APPLICATIONS: Sum of Interior Angles of a Polygon 80.Summary 81.Review Exercises 82.Chapter 6 Test 83.Chapter 7: Locus and Concurrence 84.7.1 Locus of Points 85.7.2 Concurrence of Lines 86.7.3 More About Regular Polygons 87.PERSPECTIVE ON HISTORY: The Value of p 88.PERSPECTIVE ON APPLICATIONS: The Nine-Point Circle 89.Summary 90.Review Exercises 91.Chapter 7 Test 92.Chapter 8: Areas of Polygons and Circles
93.8.1 Area and Initial Postulates 94.8.2 Perimeter and Area of Polygons 95.8.3 Regular Polygons and Area 96.8.4 Circumference and Area of a Circle 97.8.5 More Area Relationships in the Circle 98.PERSPECTIVE ON HISTORY: Sketch of Pythagoras 99.PERSPECTIVE ON APPLICATIONS: Another Look at the Pythagorean Theorem 100. Summary 101. Review Exercises 102. Chapter 8 Test 103. Chapter 9: Surfaces and Solids 104. 9.1 Prisms, Area, and Volume 105. 9.2 Pyramids, Area, and Volume 106. 9.3 Cylinders and Cones 107. 9.4 Polyhedrons and Spheres 108. PERSPECTIVE ON HISTORY: Sketch of Rene Descartes 109. PERSPECTIVE ON APPLICATIONS: Birds in Flight 110. Summary 111. Review Exercises 112. Chapter 9 Test 113. Chapter 10: Analytic Geometry 114. 10.1 The Rectangular Coordinate System 115. 10.2 Graphs of Linear Equations and Slope 116. 10.3 Preparing to Do Analytic Proofs 117. 10.4 Analytic Proofs 118. 10.5 Equations of Lines 119. 10.6 The Three-Dimensional Coordinate System 120. PERSPECTIVE ON HISTORY: The Banach-Tarski Paradox 121. PERSPECTIVE ON APPLICATIONS: The Point-of-Division Formulas 122. Summary 123. Review Exercises 124. Chapter 10 Test 125. Chapter 11: Introduction to Trigonometry 126. 11.1 The Sine Ratio and Applications 127. 11.2 The Cosine Ratio and Applications 128. 11.3 The Tangent Ratio and Other Ratios 129. 11.4 Applications with Acute Triangles 130. PERSPECTIVE ON HISTORY: Sketch of Plato 131. PERSPECTIVE ON APPLICATIONS: Radian Measure of Angles 132. Summary 133. Review Exercises 134. Chapter 11 Test 135. APPENDIX A: Algebra Review 136. APPENDIX B: Summary of Constructions, Postulates, Theorems, Lemmas, and Corollaries 137. Selected Exercises and Proofs
138. Glossary 139. Index