This applications-oriented text covers all the geometry needed by students planning to take courses in intermediate algebra, college algebra, trigonometry, or calculus. It presumes an understanding of beginning algebra. The presentation is concise and practical; some of the theorem and proof rigor of a traditional geometry course has been replaced by a more intuitive approach that emphasizes applications to future coursework and to everyday life. Essentials of Geometry for College Students features the accessible writing style and thorough pedagogy that have distinguished the many successful texts by the authors. Full-page chapter introductions, with striking photographs, preview applications that are solved later in the chapter. Throughout, detailed examples with step-by-step solutions and second-color annotations ensure comprehension. Definitions, postulates, theorems, and constructions are set off in colored boxes. Practice exercises parallel examples to help students assimilate concepts and techniques. An extensive exercise set follows each section, offering both routine drill problems and more challenging applications and extensions. Historical background, brainteasers, and illustrations to add interest.
Table of Contents
(A Review and a Test conclude each chapter.) 1. Foundations of Geometry.
Logical Systems. Points, Lines, and Planes. Segments, Rays, and Angles.
2. Introduction to Proof.
Direct Proofs. Proofs Involving Lines and Angles. Constructions Involving Lines and Angles.