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9780764117732

Painless Geometry

by
  • ISBN13:

    9780764117732

  • ISBN10:

    0764117734

  • Format: Paperback
  • Copyright: 2001-07-01
  • Publisher: Barrons Educational Series Inc
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List Price: $8.99

Summary

Geometry becomes painless - and even fun - once middle school and senior highchool students learn the subject's basic components and see how solving anyeometric problem is fitting parts together to solve an intriguing puzzle.hey learn the meaning of postulates and theorems, discover angles of allinds, find the relationships that exist between parallel and perpendicularines, and discover the characteristics of shapes such as triangles,uadrilaterals, and circles. The author introduces real-world geometryxperiments to make concepts less abstract, offers study strategies, andemonstrates how mini-proofs are the first step toward understanding formaleometry proofs.

Table of Contents

Introduction vi
A Painless Beginning
1(20)
Underfined Terms
3(1)
Some Defined Terms
4(3)
More Defined Terms
7(2)
Postulates
9(3)
Theorems
12(1)
Geometric Proofs
13(1)
Geometric Symbols
14(7)
Angles
21(28)
Measuring Angles
26(6)
Classifying Angles
32(3)
Angle Pairs
35(6)
Angle Congruence
41(2)
Word Problems
43(6)
Parallel and Perpendicular Lines
49(24)
Vertical Angles
53(2)
Perpendicular Lines
55(4)
Parallel Lines
59(5)
More on Parallel Lines
64(9)
Triangles
73(42)
Interior Angles
75(7)
Exterior Angles
82(6)
Types of Triangles
88(6)
More Types of Triangles
94(7)
Perimeter of a Triangle
101(2)
Area of a Triangle
103(4)
The Pythagorean Theorem
107(8)
Similar and Congruent Triangles
115(20)
Triangle Parts
117(2)
Similar Triangles
119(3)
Congruent Triangles
122(13)
Quadrilaterals
135(32)
Trapezoids
137(4)
Isosceles Trapezoids
141(3)
Parallelograms
144(7)
Rhombuses
151(3)
Rectangles
154(3)
Squares
157(10)
Circles
167(34)
Radius and Diameter
170(3)
Regions of a Circle
173(2)
Pi
175(2)
Circumference of a Circle
177(4)
Area of a Circle
181(4)
Degrees in a Circle
185(3)
Chords and Tangents
188(2)
Arcs
190(2)
Measuring Arcs
192(9)
Perimeter, Area, and Volume
201(50)
It's a Matter of Units
203(1)
Triangles
204(2)
Rectangles
206(3)
Squares
209(4)
Parallellograms
213(4)
Trapezoids
217(2)
Rhombuses
219(3)
Regular Polygons
222(6)
Unusual Shapes
228(2)
Volume
230(2)
Rectangular Solids
232(1)
Cubes
233(4)
Cylinders
237(5)
Cones
242(2)
Spheres
244(7)
Graphing
251(50)
Graphing Points
253(6)
Quadrants
259(2)
The Midpoint Formula
261(4)
The Distance Formula
265(3)
Graphing a Line by Plotting Points
268(4)
Graphing Horizontal and Vertical Lines
272(4)
The Slope
276(5)
Graphing Using Slope-Intercept
281(6)
Finding the Equation of a Line
287(2)
Two-Point Method
289(1)
Parallel and Perpendicular Lines
290(11)
Appendix: Geometry Resources on the Web 301(4)
Index 305

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