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El. knyga: Painless Geometry

3.91/5 (78 ratings by Goodreads)
  • Formatas: 384 pages
  • Serija: Barron's Painless
  • Išleidimo metai: 10-Aug-2020
  • Leidėjas: Kaplan Publishing
  • Kalba: eng
  • ISBN-13: 9781506268057
Kitos knygos pagal šią temą:
  • Formatas: 384 pages
  • Serija: Barron's Painless
  • Išleidimo metai: 10-Aug-2020
  • Leidėjas: Kaplan Publishing
  • Kalba: eng
  • ISBN-13: 9781506268057
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Whether you're a student or an adult looking to refresh your knowledge, Barron's Painless Geometry provides review and practice in an easy, step-by-step format.

An essential resource for:
  • Virtual Learning
  • Homeschool
  • Learning pods
  • Supplementing classes/in-person learning


Inside you'll find:
  • Comprehensive coverage of geometry, including characteristics of distinct shapes, relationships between parallel and perpendicular lines, geometric principles that can solve real-world problems, and much more   
  • Diagrams, charts, instructive math illustrations, proofs, and experiments   
  • Painless tips, common pitfalls, and math talk boxes that translate complex 'math speak' into easy-to-understand language   
  • Brain Tickler quizzes and answers throughout each chapter to test your progress


Whether you’re a student or an adult looking to refresh your knowledge, Barron’s Painless Geometry provides review and practice in an easy, step-by-step format.

An essential resource for:
  • Virtual Learning
  • Homeschool
  • Learning pods
  • Supplementing classes/in-person learning


Inside you’ll find:
  • Comprehensive coverage of geometry, including characteristics of distinct shapes, relationships between parallel and perpendicular lines, geometric principles that can solve real-world problems, and much more   
  • Diagrams, charts, instructive math illustrations, proofs, and experiments   
  • Painless tips, common pitfalls, and math talk boxes that translate complex “math speak” into easy-to-understand language   
  • Brain Tickler quizzes and answers throughout each chapter to test your progress
How to Use This Book vii
Chapter One A Painless Beginning
1(14)
Undefined Terms
1(2)
Some Defined Terms
3(2)
More Defined Terms
5(2)
Postulates
7(1)
Theorems
8(1)
Conditional Statements
9(1)
Geometric Proofs
9(2)
Geometric Symbols
11(3)
Brain Ticklers---The Answers
14(1)
Chapter Two Angles
15(22)
Measuring Angles
18(4)
Angle Addition
22(1)
Classifying Angles
23(2)
Angle Pairs
25(5)
Angle Congruence
30(2)
Word Problems
32(2)
Brain Ticklers - The Answers
34(3)
Chapter Three Parallel And Perpendicular Lines
37(20)
Vertical Angles
39(1)
Perpendicular Lines
40(4)
Parallel Lines
44(4)
More on Parallel Lines
48(7)
Brain Ticklers---The Answers
55(2)
Chapter Four Triangles
57(40)
Interior Angles
57(5)
Exterior Angles
62(5)
Types of Triangles
67(3)
More Types of Triangles
70(6)
Perimeter of a Triangle
76(1)
Area of a Triangle
77(3)
The Pythagorean Theorem
80(2)
Pythagorean Triples
82(2)
30-60-90-Degree Triangles
84(4)
45-45-90-Degree Triangles
88(4)
Brain Ticklers---The Answers
92(5)
Chapter Five Similar And Congruent Triangles
97(24)
Triangle Parts
97(1)
Triangle Midpoints
98(5)
Similar Triangles
103(2)
Right Triangle Proportions Theorem
105(5)
Congruent Triangles
110(9)
Brain Ticklers---The Answers
119(2)
Chapter Six Quadrilaterals
121(24)
Trapezoids
121(4)
Isosceles Trapezoids
125(3)
Parallelograms
128(5)
Rhombuses
133(2)
Rectangles
135(2)
Squares
137(5)
Brain Ticklers---The Answers
142(3)
Chapter Seven Polygons
145(14)
Regular and Irregular Polygons
146(1)
Convex and Concave Polygons
146(1)
Sides and Angles of Polygons
147(4)
Exterior Angles of Polygons
151(4)
Inscribed and Circumscribed Polygons
155(2)
Brain Ticklers---The Answers
157(2)
Chapter Eight Circles
159(36)
Radius and Diameter
160(2)
Regions of a Circle
162(2)
Pi
164(1)
Circumference
165(1)
Area of a Circle
166(4)
Degrees in a Circle
170(2)
Chords, Tangents, and Secants
172(2)
Arcs
174(2)
Measuring Arcs
176(5)
Angles and Circles
181(10)
Brain Ticklers---The Answers
191(4)
Chapter Nine Perimeter, Area, And Volume
195(40)
It's a Matter of Units
195(1)
Triangles
196(1)
Rectangles
197(2)
Squares
199(3)
Parallelograms
202(3)
Trapezoids
205(2)
Rhombuses
207(2)
Regular Polygons
209(5)
Unusual Shapes
214(3)
Volume
217(1)
Rectangular Solids
218(1)
Cubes
219(3)
Cylinders
222(4)
Cones
226(1)
Spheres
227(4)
Brain Ticklers---The Answers
231(4)
Chapter Ten Graphing
235(44)
Graphing Points
236(5)
Quadrants
241(1)
The Midpoint Formula
242(3)
The Distance Formula
245(3)
Graphing a Line by Plotting Points
248(3)
Graphing Horizontal and Vertical Lines
251(3)
The Slope
254(5)
Graphing Using Slope-Intercept
259(4)
Finding the Equation of a Line
263(1)
Two-Point Method
264(2)
Point-Slope Form
266(1)
Parallel and Perpendicular Lines
267(5)
Brain Ticklers---The Answers
272(7)
Chapter Eleven Constructions
279(16)
Constructing a Congruent Line Segment
280(1)
Constructing Congruent Angles
281(2)
Bisecting an Angle
283(2)
Constructing an Equilateral Triangle
285(1)
Constructing Parallel Lines
286(2)
Constructing Perpendicular Lines
288(1)
Inscribing a Square in a Circle
289(4)
Brain Ticklers---The Answers
293(2)
Appendix I Glossary 295(6)
Appendix II Key Formulas 301(4)
Index 305
About the Author Lynette Long, Ph.D. is a math education expert. She is a former elementary and middle school principal, high school mathematics teacher, and college professor at Loyola University in Baltimore, American University in Washington, D.C., and the University of Maryland. Long has taught more than twenty different courses in the areas of education and mathematics and has published more than twenty-five books.

About the Publisher In the 1930s, Manuel H. Barron opened a bookstore in Brooklyn, New York.   

People from the community asked Mr. Barron about books that might be available to help their children study for the New York State Regents exams. After realizing there wasn't anything available, Mr. Barron created his own study guides.   

80 years later, Barron's has helped millions of people prepare for their next step.