Geometry, 1st Edition © 2016
Elayn Martin-Gay
Elayn Martin-Gay's strong conviction that every student can succeed shapes her clear, accessible writing, inspires her constant pedagogical innovations, and contributes to the popularity and effectiveness of her video resources. Geometry, part of her High School Series, contains videos and content personally authored and presented by Elayn. It was written to provide a solid foundation in Euclidean geometry for students who may not have previous experience in geometry.
- Each section begins with a list of Objectives that are also repeated at the place of discussion within the section. When applicable, under the list of objectives, there is a list of new Vocabulary words. Throughout the section, each new vocabulary word is highlighted at the place of the definition.
- Helpful Hints contain practical advice on applying mathematical concepts. Strategically placed where students are most likely to need immediate reinforcement, they help students avoid common trouble areas and mistakes.
- Detailed step-by-step examples provide guidance for students.
- Practice exercises are paired with each example to actively involve students in the learning process.
- The Video Organizer is designed to help students take notes and practice work exercises while watching the Interactive Lecture Series (available in MyMathLab for School). All content in the Video Organizer is presented in the same order as it is presented in the videos, making it easy for students to create a course notebook and build good study habits.
- Interactive Lecture Series, featuring textbook author Elayn Martin-Gay, provides students with active learning at their own pace.
CHAPTER 1: THE 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
CHAPTER 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
CHAPTER 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
CHAPTER 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
CHAPTER 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 a Triangle
5.5 Indirect Proofs and Inequalities in One Triangle
5.6 Inequalities in Two Triangles
CHAPTER 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
CHAPTER 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
CHAPTER 8: TRANSFORMATIONS
8.1 Rigid Transformations
8.2 Translations
8.3 Reflections
8.4 Rotations
8.5 Dilations
8.6 Composition of Reflections
Extension: Frieze Patterns
CHAPTER 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
CHAPTER 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
CHAPTER 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
CHAPTER 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
Extension: Ellipses and Hyperbolas
Elayn Martin-Gay
University of New Orleans
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 integrated teaching and learning.
This program is available in a variety of formats. You can review the individual prices for each ISBN in our catalog. All access codes are for use by 1 student, for 1 course, for up to 1 year, and are non-transferable.
| Format | ISBN-13 |
|---|---|
| Student edition | 9780134093901 |
| Student edition + MyMathLab for School with Pearson eTextbook (1-year access) | 9780134105741 |
| Student edition + MyMathLab for School with Pearson eTextbook (6-year access) | 9780134105758 |
| Video organizer | 9780134645926 |
| MyMathLab for School with Pearson eTextbook (1-year access) | 100% digital solution. Access code is delivered via email. | 9780132962377 |
| MyMathLab for School with Pearson eTextbook (6-year access) | 100% digital solution. Access code is delivered via email. |
9780132962391 |
Not seeing what you’re looking for?
Check out our catalog
Review all our AP®, Honors, and Electives programs, including available formats, prices, and ISBNs
Online learning
MyMathLab for School
Aligns with Pearson's mathematics and statistics programs for high school students. Powered by MathXL® for School, MyMathLab® for School provides students with personalized instruction and skills-based practice.
If you'd like to see a demo of MyMathLab for School, contact our team.
AP®, Honors, & Electives Catalog
Not seeing what you’re looking for?
Review all our AP®, Honors, and Electives programs, including available formats, prices, and ISBNs
Contact Pearson
Our experts will guide you through available programs, eTextbooks, and printed materials.
With this form, you can request a sample, access instructor resources, or make a purchase.
AP® is a trademark registered and/or owned by the College Board, which was not involved in the production of, and does not endorse, these programs.