Overview

For courses in geometry.   Every student can succeed Elayn Martin-Gay's developmental math program is motivated by her firm belief that every student can succeed. Martin-Gay's focus on the student shapes her clear, accessible writing, inspires her constant pedagogical innovations, and contributes to the popularity and effectiveness of her video resources. Geometry continues her focus on students and what they need to be successful. It was written to provide a solid foundation in Euclidean geometry for students who may not have previous experience in geometry.   Also available with MyMathLab MyMathLab is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts.  

Full Product Details

Author:   Elayn Martin-Gay
Publisher:   Pearson Education (US)
Imprint:   Pearson
Dimensions:   Width: 10.00cm , Height: 10.00cm , Length: 10.00cm
Weight:   0.100kg
ISBN:  

9780134173658

ISBN 10:   0134173651
Pages:   696
Publication Date:   07 July 2015
Audience:   College/higher education ,  Tertiary & Higher Education
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Table of Contents 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 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 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 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 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 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 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 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 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 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 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 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 Math Symbols Formulas Measures 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 Photo Credits

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Author Information

Elayn Martin-Gay has taught mathematics at the University of New Orleans for more than 25 years. Her numerous teaching awards include the local University Alumni Association’s Award for Excellence in Teaching, and Outstanding Developmental Educator at University of New Orleans, presented by the Louisiana Association of Developmental Educators.   Prior to writing textbooks, Elayn Martin-Gay developed an acclaimed series of lecture videos to support developmental mathematics students. These highly successful videos originally served as the foundation materials for her texts. Today, the videos are specific to each book in her series. She has also created Chapter Test Prep Videos to help students during their most “teachable moment”–as they prepare for a test–along with Instructor-to-Instructor videos that provide teaching tips, hints, and suggestions for every developmental mathematics course, including basic mathematics, prealgebra, beginning algebra, and intermediate algebra.   Elayn is the author of 12 published textbooks and numerous multimedia interactive products, all specializing in developmental mathematics courses. She has also published series in Algebra 1, Algebra 2, and Geometry.  She has participated as an author across a broad range of educational materials: textbooks, videos, tutorial software, and courseware. This offers an opportunity for multiple combinations for an integrated teaching and learning package, offering great consistency for the student.  

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