• Problem-solving focus throughout the text:
— Starts in Chapter 1, which is dedicated to problem solving
— Each subsequent chapter introduces a new problem-solving strategy, continuing the problem-solving focus throughout the text
— Each section begins with an applied problem whose solution becomes accessible as the section material unfolds. (A complete solution appears at the end of the section.)
• Three-part organization:
– Part I (Problem Solving, Geometric Shapes, and Measurement) gives readers a fresh start in geometry through problem solving and applications in measurement.
– Part II (Formal Synthetic Euclidean Geometry) contains an extensive, if somewhat informal, treatment of geometric shapes where initial postulates and basic course terminology are introduced.
– Part III (Alternate Approaches to Plane Geometry) approaches problem solving/applications in geometry via coordinates and transformations.
• Over 1000 exercises, problems, proofs, and applications with answers for odd exercises, problems, and applications provided in the book, and to even ones provided in the Instructor's Manual.
–Provides a wealth of problems to facilitate student comprehension.
— A rich collection of relevant and carefully researched “Applied Problems” within each chapter.
–A variety of “Extended Problems” in each exercise set,suitable for individual or group exploration and research.
• A hands-on “Geometry Investigation” at the start of each chapter — Gives students’ introductory, active experience with a topic related to chapter content.
• "Geometry Around Us" – Features examples of geometry in the real world; appears just before the problem set at the end of each section.
• Chapter-opening historical tidbits, “Geometry Investigation” explorations, examples of “Geometry Around Us”, and “People in Geometry” vignettes are designed to capture students’ interest and illustrate the relevance of what they are studying.
• Special topics sections at the end of the book:
– Cover Logic, Non-Euclidean Geometry, and Inequalities
– Offer the opportunity to customize or expand upon material in the standard nine chapters.
• A wealth of helpful pedagogy to facilitate student understanding — Includes:
— 1500 figures
— over 150 carefully chosen examples
— display boxes highlighting postulates and theorems
— paragraph and statement-reason proofs
— thought-provoking “Writing for Understanding” ideas
— thorough chapter reviews and chapter tests
— functional use of color
— student-friendly language throughout the text.
• Most theorems are displayed in three modes: (i) written, (ii) pictorial, and (iii) symbolic
