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Category : Higher Education
1. A Beginning of Geometry 1.1 Tips for Success in Mathematics 1.2 Geometry–A Mathematical System 1.3 Points, Lines, and Planes 1.4 Segments and Their Measure 1.5 Angles and Their Measure 1.6 Angle Pairs and Their Relationships 1.7 Coordinate Geometry–Midpoint and Distance Formulas 1.8 Constructions–Basic Geometry Constructions 2. Introduction to Reasoning and Proofs 2.1 Perimeter, Circumference, and Area 2.2 Patterns and Inductive Reasoning 2.3 Conditional Statements 2.4 Biconditional Statements and Definitions 2.5 Deductive Reasoning 2.6 Reviewing Properties of Equality and Writing Two-Column Proofs 2.7 Proving Theorems About Angles 3. Parallel and Perpendicular Lines 3.1 Lines and Angles 3.2 Proving Lines Are Parallel 3.3 Parallel Lines and Angles Formed by Transversals 3.4 Proving Theorems About Parallel and Perpendicular Lines 3.5 Constructions–Parallel and Perpendicular Lines 3.6 Coordinate Geometry–The Slope of a Line 3.7 Coordinate Geometry–Equations of Lines 4. Triangles and Congruence 4.1 Types of Triangles 4.2 Congruent Figures 4.3 Congruent Triangles by SSS and SAS 4.4 Congruent Triangles by ASA and AAS 4.5 Proofs Using Congruent Triangles 4.6 Isosceles, Equilateral, and Right Triangles 5. Special Properties of Triangles 5.1 Perpendicular and Angle Bisectors 5.2 Bisectors of a Triangle 5.3 Medians and Altitudes of a Triangle 5.4 Midsegments of Triangles 5.5 Indirect Proofs and Inequalities in One Triangle 5.6 Inequalities in Two Triangles 6. Quadrilaterals 6.1 Polygons 6.2 Parallelograms 6.3 Proving that a Quadrilateral Is a Parallelogram 6.4 Rhombuses, Rectangles, and Squares 6.5 Trapezoids and Kites 7. Similarity 7.1 Ratios and Proportions 7.2 Proportion Properties and Problem Solving 7.3 Similar Polygons 7.4 Proving Triangles Are Similar 7.5 Geometric Mean and Similarity in Right Triangles 7.6 Additional Proportions in Triangles 8. Transformations 8.1 Rigid Transformations 8.2 Translations 8.3 Reflections 8.4 Rotations 8.5 Dilations 8.6 Compositions of Reflections Extension–Frieze Patterns 9. Right Triangles and Trigonometry 9.1 The Pythagorean Theorem and Its Converse 9.2 Special Right Triangles 9.3 Trigonometric Ratios 9.4 Solving Right Triangles 9.5 Vectors Extension–Law of Sines Extension–Law of Cosines 10. Area 10.1 Angle Measures of Polygons and Regular Polygon Tessellations 10.2 Areas of Triangles and Quadrilaterals with a Review of Perimeter 10.3 Areas of Regular Polygons 10.4 Perimeters and Areas of Similar Figures 10.5 Arc Measures, Circumferences, and Arc Lengths of Circles 10.6 Areas of Circles and Sectors 10.7 Geometric Probability 11. Surface Area and Volume 11.1 Solids and Cross Sections 11.2 Surface Areas of Prisms and Cylinders 11.3 Surface Areas of Pyramids and Cones 11.4 Volumes of Prisms and Cylinders and Cavalieri’s Principle 11.5 Volumes of Pyramids and Cones 11.6 Surface Areas and Volumes of Spheres 11.7 Areas and Volumes of Similar Solids 12. Circles and Other Conic Sections 12.1 Circle Review and Tangent Lines 12.2 Chords and Arcs 12.3 Inscribed Angles 12.4 Additional Angle Measures and Segment Lengths 12.5 Coordinate Plane–Circles 12.6 Locus Extension–Parabolas Student Success Resource Section A Review of Basic Concepts A.1 Measurement Conversions A.2 Probability A.3 Exponents, Order of Operations, and Variable Expressions A.4 Operations on Real Numbers A.5 Simplifying Expressions A.6 Solving Linear Equations A.7 Solving Linear Inequalities A.8 Solving Formulas for a Variable A.9 The Coordinate Plane A.10 Graphing Linear Equations A.11 Solving Systems of Linear Equations in Two Variables A.12 Exponents A.13 Multiplying Polynomials A.14 Simplifying Radical Expressions A.15 Solving Quadratic Equations by Factoring A.16 Solving Quadratic Equations by the Square Root Property A.17 Solving Quadratic Equations by the Quadratic Formula Tables 1. Math Symbols 2. Formulas 3. Measures 4. Properties of Real Numbers Postulates, Theorems, and Additional Proofs B. Additional Lessons B.1 Ellipses and Hyperbolas B.2 Measurement, Rounding Error, and Reasonableness B.3 The Effect of Measurement Errors on Calculations Answers to Selected Exercises Index Table of Contents
What is Test Bank?
The test bank is a guide for testing and exams. It contains a lot of questions with their correct answers related to an academic textbook. Test banks usually contain true/false questions, multiple choice questions, and essay questions. Authors provide those guides to help instructors and teachers create their exams and tests easily and fast. We recommend all students to download the sample attached to each test bank page and review them deeply..
What is Solutions Manual?
The solutions manual is a guide where you can find all the correct answers (odd and even) to your textbooks’ questions, cases, and problems.
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