Geometry The easy way
Book - 2019
"This new edition in Barron's Easy Way Series contains everything students need to prepare for a geometry class. Geometry: The Easy Way provides key content review and practice exercises to help students learn geometry the easy way. Topics covered in this detailed review of algebra include the "how" and "why" of geometry, with examples, exercises, and solutions throughout, plus hundreds of drawings, graphs, and tables. Practice questions in each chapter help students develop their skills and gauge their progress. Visual references including charts, graphs, diagrams, instructive illustrations, and icons help engage students and reinforce important concepts." --
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- Subjects
- Genres
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Textbooks - Published
-
New York, NY :
Kaplan
[2019]
- Language
- English
- Main Author
- Other Authors
- Edition
- Fifth edition
- Physical Description
- ix, 513 pages : illustrations ; 25 cm
- ISBN
- 9781438012117
- Preface
- 1. Building a Geometry Vocabulary
- The Building Blocks of Geometry
- Definitions and Postulates
- Inductive Versos Deductive Reasoning
- The IF ... THEN ... Sentence Structure
- Review Exercises for Chapter 1
- 2. Measure and Congruence
- Measurements of Segments and Angles
- Betweenness of Points and Rays
- Congruence
- Basic Constructions
- Midpoint and Bisector
- Diagrams and Drawing Conclusions
- Properties of Equality and Congruence
- Additional Properties of Equality
- The Two-Column Proof Format
- Review Exercises for Chapter 2
- 3. 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
- A Word About the Format of a Proof
- Review Exercises for Chapter 3
- 4. Parallel Lines
- Planes and Lines
- Properties of Parallel Lines
- Converses and Methods of Proving Lines Parallel
- The Parallel Postulate
- Review Exercises for Chapter 4
- 5. 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
- 6. 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
- When Two Triangles Are NOT Congruent
- Review Exercises for Chapter 6
- 7. 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
- 8. Transformation Geometry
- Terms and Notation
- Congruence Transformations
- Classifying Isometries
- Size Transformations
- Types of Symmetry
- Transformations in the Coordinate Plane
- Composing Transformations
- Congruent Proofs Using Transformations
- Review Exercises for Chapter 8
- 9. Ratio, Proportion, and Similarity
- Ratio and Proportion
- Proportions in a Triangle
- When Are Polygons Similar?
- Proving Triangles Similar
- Proving Lengths of Sides of Similar Triangles in Proportion
- Proving Products of Segment Lengths Equal
- Applications of Similar Triangles
- Review Exercises for Chapter 9
- 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 10
- 11. Geometric Inequalities, Indirect Proof, and Concurrencies
- Some Basic Properties of Inequalities
- Inequality Relationships in a Triangle
- Points of Concurrency in a Triangle
- The Indirect Method of Proof
- Review Exercises for Chapter 11
- Cumulative Review Exercises: Chapters 8-11
- 12. Special Quadrilaterals
- Classifying Quadrilaterals
- Properties of a Trapezoid
- Properties of a Parallelogram
- Properties of Special Parallelograms
- Proving a Quadrilateral Is a Parallelogram
- The Isosceles Trapezoid
- Review Exercises for Chapter 12
- 13. 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 13
- 14. Chord, Tangent, and Secant Segments
- Equidistant Chords
- Tangents and Circles
- Similar Triangles and Circles
- Tangent- and Sec ant-Segment Relationships
- Circumference and Arc Length
- Review Exercises for Chapter 14
- 15. Area and Volume
- Areas of a Rectangle, Square, and Parallelogram
- Area of a Triangle
- Comparing Areas
- Areas of a Circle, Sector, and Segment
- Geometric Solids
- Similar Solids
- Review Exercises for Chapter 15
- 16. Coordinate Geometry
- Finding Area Using Coordinates
- The Midpoint and Distance Formulas
- Partitioning a Line Segment
- Slope of a Line
- Equation of a Line
- Equation of a Circle
- Proofs Using Coordinates
- Review Exercises for Chapter 16
- Cumulative Review Exercises: Chapters 12-16
- Some Geometric Relationships and Formulas Worth Remembering
- Glossary
- Answers to Chapter Exercises
- Solutions to Cumulative Review Exercises
- Index