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Geometry the Easy Way

ISBN-10: 0764101102
ISBN-13: 9780764101106
Edition: 3rd 1997
Authors: Lawrence S. Leff
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Description: These books are ideal student self-help supplements. They offer valuable overviews of course work and extra help with difficult subject areas. Covers the "how" and "why" of geometry. Includes hundreds of examples and exercises with solutions.  More...

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Book details

List price: $14.95
Edition: 3rd
Copyright year: 1997
Publisher: Barron's Educational Series, Incorporated
Publication date: 8/18/1997
Binding: Paperback
Pages: 368
Size: 8.00" wide x 11.00" long x 0.75" tall
Weight: 1.782

These books are ideal student self-help supplements. They offer valuable overviews of course work and extra help with difficult subject areas. Covers the "how" and "why" of geometry. Includes hundreds of examples and exercises with solutions. Includes more than 700 drawings, graphs,and tables.

Lawrence S. Leff has helped make mathematics and tests more accessible to students through his work and his writing. Leff is assistant principal and math supervisor at Franklin D. Roosevelt High School in Brooklyn, New York. His writing is centered primarily on examination preparation guides. His books, which target high school students, have included, Let's Review: Sequential Mathematics, a teacher planning and student review and math test preparation guide, and Preparation for the CLEP--College-Level Examination Program. Some of Leff's math review guides originally were intended for New York area high school students participating in the three-year mathematics curriculum there. Lawrence Leff has also published mathematics materials not strictly for test-taking, including Geometry the Easy Way.

Preface
Building a Geometry Vocabulary
The Building Blocks of Geometry
Definitions and Postulates
Inductive Versus Deductive Reasoning
The If ... Then ... Sentence Structure
Review Exercises for Chapter 1
Measure and Congruence
Measuring Segments and Angles
Betweenness of Points and Rays
Congruence
Midpoint and Bisector
Diagrams and Drawing Conclusions
Properties of Equality and Congruence
Additional Properties of Equality
Review Exercises for Chapter 2
Angle Pairs and Perpendicular Lines
Supplementary and Complementary Angle Pairs
Adjacent and Vertical Angle Pairs
Theorems Relating to Complementary, Supplementary, and Vertical Angles
Definitions and Theorems Relating to Right Angles and Perpendiculars
Other Types of Proofs in Mathematics
Review Exercises for Chapter 3
Parallel Lines
Planes and Lines
Properties of Parallel Lines
Converses and Methods of Proving Lines Parallel
The Parallel Postulate
Review Exercises for Chapter 4
Angles of a Polygon
The Anatomy of a Polygon
Angles of a Triangle
Exterior Angles of a Triangle
Angles of a Polygon
Review Exercises for Chapter 5
Proving Triangles Are Congruent
Correspondences and Congruent Triangles
Proving Triangles Congruent: SSS, SAS, and ASA Postulates
Proving Overlapping Triangles Congruent
Proving Triangles Congruent: AAS and Hy-Leg Methods
Review Exercises for Chapter 6
Applying Congruent Triangles
Using Congruent Triangles to Prove Segments and Angles Congruent
Using Congruent Triangles to Prove Special Properties of Lines
Classifying Triangles and Special Segments
The Isosceles Triangle
Double Congruence Proofs
Review Exercises for Chapter 7
Cumulative Review Exercises: Chapters 1-7
Geometric Inequalities
Some Basic Properties of Inequalities
Inequality Relationships in a Triangle
The Indirect Method of Proof
Review Exercises for Chapter 8
Special Quadrilaterals
Classifying Quadrilaterals
Properties of a Parallelogram
Properties of Special Parallelograms
Proving a Quadrilateral Is a Parallelogram
Applications of Parallelograms
Properties of a Trapezoid
Review Exercises for Chapter 9
Ratio, Proportion, and Similarity
Ratio and Proportion
Proportions in a Triangle
Defining Similar Polygons
Proving Triangles Similar
Proving Lengths of Sides of Similar Triangles in Proportion
Proving Products of Segment Lengths Equal
Review Exercises for Chapter 10
The Right Triangle
Proportions in a Right Triangle
The Pythagorean Theorem
Special Right-Triangle Relationships
Trigonometric Ratios
Indirect Measurement in a Right Triangle
Review Exercises for Chapter 11
Cumulative Review Exercises: Chapters 8-11
Circles and Angle Measurement
The Parts of a Circle
Arcs and Central Angles
Diameters and Chords
Tangents and Secants
Angle Measurement: Vertex on the Circle
Angle Measurement: Vertex in the Interior of the Circle
Angle Measurement: Vertex in the Exterior of the Circle
Using Angle-Measurement Theorems
Review Exercises for Chapter 12
Chord, Tangent, and Secant Segments
Equidistant Chords
Tangents and Circles
Similar Triangles and Circles
Tangent- and Secant-Segment Relationships
Circumference and Arc Length
Review Exercises for Chapter 13
Area and Volume
Areas of a Rectangle, Square, and Parallelogram
Areas of a Triangle and Trapezoid
Comparing Areas
Area of a Regular Polygon
Areas of a Circle, Sector, and Segment
Geometric Solids
Review Exercises for Chapter 14
Coordinate Geometry
The Coordinate Plane
Finding Area Using Coordinates
The Midpoint and Distance Formulas
Slope of a Line
Equation of a Line
Equation of a Circle
Proofs Using Coordinates
Review Exercises for Chapter 15
Locus and Constructions
Describing Points That Fit One Condition
Describing Points That Fit More Than One Condition
Locus and Coordinates
Basic Constructions
Review Exercises for Chapter 16
Cumulative Review Exercises: Chapters 12-16
Some Geometric Formulas Worth Remembering
Glossary
Answers to Chapter Exercises
Solutions to Cumulative Review Exercises
Index

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