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### eBook Details:

- Full title:
**Elementary Geometry for College Students, 7th Edition** - Edition:
**7th** - Copyright year:
**2020** - Publisher:
**Cengage Learning** - Author:
**Daniel C. Alexander; Geralyn M. Koeberlein** - ISBN:
**9781337614085**,**9780357028155** - Format:
**PDF**

### Description of Elementary Geometry for College Students, 7th Edition:

Building on the success of previous editions, ELEMENTARY GEOMETRY FOR COLLEGE STUDENTS explores the important principles and real-world applications of plane, coordinate and solid geometry. Strongly influenced by both NCTM and AMATYC standards, the seventh edition includes intuitive, inductive and deductive experiences in its explorations. It aims to help students develop a comprehensive vocabulary of geometry, an intuitive and inductive approach to the development of principles, and strong deductive skills that lead to both verification of geometric theories and the solution of geometry-based, real-world applications. Over 150 new exercises provide additional practice in writing proofs. Expanded coverage of point paths, overlapping congruent triangles and increased focus on continuity and discontinuity in geometric figures, and the congruence of quadrilaterals provide students more focus in these areas. A new preliminary chapter P introduces set concepts and formal reasoning to start students at the same level.Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

#### Table of Contents of Elementary Geometry for College Students, 7th Edition PDF ebook:

Title PageCopyright PageContentsPrefaceAcknowledgmentsForewordIndex of ApplicationsChapter P: Preliminary ConceptsP.1 Sets and GeometryP.2 Statements and ReasoningP.3 Informal Geometry and MeasurementPERSPECTIVE ON HISTORY: Our Greek HeritagePERSPECTIVE ON APPLICATIONS: One-to-One CorrespondenceSummaryReview ExercisesChapter P TestChapter 1: Line and Angle Relationships1.1 Early Definitions and Postulates1.2 Angles and Their Relationships1.3 Introduction to Geometric Proof1.4 Relationships: Perpendicular Lines1.5 The Formal Proof of a TheoremPERSPECTIVE ON HISTORY: The Development of GeometryPERSPECTIVE ON APPLICATIONS: PatternsSummaryReview ExercisesChapter 1 TestChapter 2: Parallel Lines2.1 The Parallel Postulate and Special Angles2.2 Indirect Proof2.3 Proving Lines Parallel2.4 The Angles of a Triangle2.5 Convex Polygons2.6 Symmetry and TransformationsPERSPECTIVE ON HISTORY: Sketch of EuclidPERSPECTIVE ON APPLICATIONS: Non-Euclidean GeometriesSummaryReview ExercisesChapter 2 TestChapter 3: Triangles3.1 Congruent Triangles3.2 Corresponding Parts of Congruent Triangles3.3 Isosceles Triangles3.4 Basic Constructions Justified3.5 Inequalities in a TrianglePERSPECTIVE ON HISTORY: Sketch of ArchimedesPERSPECTIVE ON APPLICATIONS: The Geodesic DomeSummaryReview ExercisesChapter 3 TestChapter 4: Quadrilaterals4.1 Properties of a Parallelogram4.2 The Parallelogram and Kite4.3 The Rectangle, Square, and Rhombus4.4 The TrapezoidPERSPECTIVE ON HISTORY: Sketch of ThalesPERSPECTIVE ON APPLICATIONS: Square Number as SumsSummaryReview ExercisesChapter 4 TestChapter 5: Similar Triangles5.1 Ratios, Rates, and Proportions5.2 Similar Polygons5.3 Proving Triangles Similar5.4 The Pythagorean Theorem5.5 Special Right Triangles5.6 Segments Divided ProportionallyPERSPECTIVE ON HISTORY: Ceva-fs ProofPERSPECTIVE ON APPLICATIONS: Generating Pythagorean TriplesSummaryReview ExercisesChapter 5 TestChapter 6: Circles6.1 Circles and Related Segments and Angles6.2 More Angle Measures in the Circle6.3 L ine and Segment Relationships in the Circle6.4 Some Constructions and Inequalities for the CirclePERSPECTIVE ON HISTORY: Circumference of the EarthPERSPECTIVE ON APPLICATIONS: Sum of Interior Angles of a PolygonSummaryReview ExercisesChapter 6 TestChapter 7: Locus and Concurrence7.1 Locus of Points7.2 Concurrence of Lines7.3 More About Regular PolygonsPERSPECTIVE ON HISTORY: The Value of pPERSPECTIVE ON APPLICATIONS: The Nine-Point CircleSummaryReview ExercisesChapter 7 TestChapter 8: Areas of Polygons and Circles8.1 Area and Initial Postulates8.2 Perimeter and Area of Polygons8.3 Regular Polygons and Area8.4 Circumference and Area of a Circle8.5 More Area Relationships in the CirclePERSPECTIVE ON HISTORY: Sketch of PythagorasPERSPECTIVE ON APPLICATIONS: Another Look at the Pythagorean TheoremSummaryReview ExercisesChapter 8 TestChapter 9: Surfaces and Solids9.1 Prisms, Area, and Volume9.2 Pyramids, Area, and Volume9.3 Cylinders and Cones9.4 Polyhedrons and SpheresPERSPECTIVE ON HISTORY: Sketch of Rene DescartesPERSPECTIVE ON APPLICATIONS: Birds in FlightSummaryReview ExercisesChapter 9 TestChapter 10: Analytic Geometry10.1 The Rectangular Coordinate System10.2 Graphs of Linear Equations and Slope10.3 Preparing to Do Analytic Proofs10.4 Analytic Proofs10.5 Equations of Lines10.6 The Three-Dimensional Coordinate SystemPERSPECTIVE ON HISTORY: The Banach-Tarski ParadoxPERSPECTIVE ON APPLICATIONS: The Point-of-Division FormulasSummaryReview ExercisesChapter 10 TestChapter 11: Introduction to Trigonometry11.1 The Sine Ratio and Applications11.2 The Cosine Ratio and Applications11.3 The Tangent Ratio and Other Ratios11.4 Applications with Acute TrianglesPERSPECTIVE ON HISTORY: Sketch of PlatoPERSPECTIVE ON APPLICATIONS: Radian Measure of AnglesSummaryReview ExercisesChapter 11 TestAPPENDIX A: Algebra ReviewAPPENDIX B: Summary of Constructions, Postulates, Theorems, Lemmas, and CorollariesSelected Exercises and ProofsGlossaryIndex