9780764563805

CliffsQuickReview Geometry

by
  • ISBN13:

    9780764563805

  • ISBN10:

    0764563807

  • Edition: 1st
  • Format: Paperback
  • Copyright: 5/29/2001
  • Publisher: Cliffs Notes

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Supplemental Materials

What is included with this book?

  • The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.
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Summary

CliffsQuickReview course guides cover the essentials of your toughest classes. Get a firm grip on core concepts and key material, and test your newfound knowledge with review questions.From planes, points, and postulates to squares, spheres, and slopes - and everything in between - CliffsQuickReview Geometry can help you make sense of it all. This guide introduces each topic, defines key terms, and walks you through each sample problem step-by-step. Begin with a review of fundamental ideas such as theorems, angles, and intersecting lines. In no time, you'll be ready to work on other concepts such as Triangles and polygons: Classifying and identifying; features and properties; the Triangle Inequality Theorem; the Midpoint Theorem; and more Perimeter and area: Parallelograms, trapezoids, regular polygons, circles Similarity: Ratio and proportion; properties of proportions; similar triangles Right triangles Circles: Central angles and arcs; inscribed angles; chords, secants, tangents; arc length, sectors Geometric solids and coordinate geometry CliffsQuickReview Geometry acts as a supplement to your textbook and to classroom lectures. Use this reference in any way that fits your personal style for study and review - you decide what works best with your needs. Here are just a few ways you can search for topics: Use the free Pocket Guide full of essential information Get a glimpse of what you'll gain from a chapter by reading through the Chapter Check-In at the beginning of each chapter Use the Chapter Checkout at the end of each chapter to gauge your grasp of the important information you need to know Test your knowledge more completely in the CQR Review and look for additional sources of information in the CQR Resource Center Use the glossary to find key terms fast. With titles available for all the most popular high school and college courses, CliffsQuickReview guides are a comprehensive resource that can help you get the best possible grades.

Author Biography

Ed Kohn, MS is an outstanding educator and author with over 33 years experience teaching mathematics. Currently, he is the testing coordinator and math department chairman at Sherman Oaks Center for Enriched Studies.

Table of Contents

Introduction 1(1)
Why You Need This Book
1(1)
How to Use This Book
2(1)
Don't Miss Our Web Site
2(1)
Fundamental Ideas
3(21)
Points, Lines, and Planes
3(2)
Point
4(1)
Line
4(1)
Plane
5(1)
Postulates and Theorems
5(2)
Segments, Midpoints, and Rays
7(3)
Line segment
7(2)
Midpoint
9(1)
Ray
9(1)
Angles and Angle Pairs
10(5)
Angles
10(3)
Angle bisector
13(1)
Right angle
13(1)
Acute angle
14(1)
Obtuse angle
14(1)
Straight angle
15(1)
Special Angles
15(4)
Adjacent angles
16(1)
Vertical angles
16(1)
Complementary angles
17(1)
Supplementary angles
18(1)
Intersecting, Perpendicular, and Parallel Lines
19(1)
Intersecting lines
19(1)
Perpendicular Lines
19(1)
Parallel lines
20(1)
Parallel and Perpendicular Planes
20(4)
Parallel planes
20(1)
Perpendicular planes
21(3)
Parallel Lines
24(10)
Angle Pairs Created with a Transversal
24(2)
The Parallel Postulate
26(1)
Consequences of the Parallel Postulate
26(2)
Testing for Parallel Lines
28(6)
Triangles
34(21)
Angle Sum of a Triangle
35(1)
Exterior Angle of A Triangle
35(1)
Classifying Triangles by Sides or Angles
36(2)
Special Names for Sides and Angles
38(1)
Altitudes, Medians, and Angle Bisectors
39(4)
Base and altitude
39(2)
Median
41(1)
Angle bisector
41(2)
Congruent Triangles
43(7)
Corresponding parts
43(1)
Tests for congruence
44(6)
Special Features of Isosceles Triangles
50(2)
Triangle Inequalities Regarding Sides and Angles
52(1)
The Triangle Inequality Theorem
53(2)
Polygons
55(17)
Classifying Polygons
55(3)
Identifying the parts of a polygon
56(1)
Number of sides
57(1)
Regular polygons
58(1)
Angle Sum of Polygons
58(2)
Special Quadrilaterals
60(3)
Trapezoid
61(1)
Parallelogram
61(2)
Proving That Figures Are Parallelograms
63(1)
Properties of Special Parallelograms
64(3)
Rectangle
64(1)
Rhombus
64(1)
Square
65(2)
Properties of Trapezoids
67(3)
The Midpoint Theorem
70(2)
Perimeter and Area
72(12)
Squares and Rectangles
72(2)
Finding the perimeter
72(1)
Finding the area
73(1)
Parallelograms
74(1)
Finding the perimeter
75(1)
Finding the area
75(1)
Triangles
75(2)
Finding the area
76(1)
Finding the perimeter
76(1)
Trapezoids
77(2)
Finding the perimeter
77(1)
Finding the area
78(1)
Regular Polygons
79(1)
Parts of a regular polygon
79(1)
Finding the perimeter
79(1)
Finding the area
79(1)
Circles
80(2)
Finding the circumference
80(1)
Finding the area
81(1)
Summary of Perimeter, Circumference, and Area Formulas
82(2)
Similarity
84(18)
Ratio and Proportion
84(2)
Ratio
84(2)
Proportion
86(1)
Means and extremes
86(1)
Properties of Proportions
86(3)
Similar Polygons
89(1)
Similar Triangles
90(3)
Proportional Parts of Triangles
93(2)
Proportional Parts of Similar Triangles
95(2)
Perimeters and Areas of Similar Triangles
97(5)
Right Triangles
102(16)
Geometric Mean
102(1)
Altitude to the Hypotenuse
103(3)
Pythagorean Theorem and Its Converse
106(4)
Extension to the Pythagorean Theorem
110(2)
Special Right Triangles
112(6)
Circles
118(31)
Parts of Circles
118(3)
Central Angles and Arcs
121(5)
Central angles
121(1)
Arcs
122(4)
Arcs and Inscribed Angles
126(4)
Other Angles Formed by Chords, Secants, and Tangents
130(5)
Arcs and Chords
135(3)
Segments of Chords, Secants, and Tangents
138(5)
Arc Length and Sectors
143(3)
Arc Length
143(1)
Sector of a circle
144(2)
Summary of Angle, Segment, Arc Length, and Sector Relationships
146(3)
Geometric Solids
149(15)
Prisms
149(1)
Right Prisms
150(4)
Lateral area of a right prism
150(1)
Total area of a right prism
151(1)
Interior space of a solid
152(2)
Right Circular Cylinders
154(2)
Pyramids
156(1)
Regular Pyramids
156(3)
Right Circular Cones
159(2)
Spheres
161(3)
Coordinate Geometry
164(16)
Points and Coordinates
164(3)
Distance Formula
167(1)
Midpoint Formula
168(2)
Slope of a Line
170(2)
Slopes of Parallel and Perpendicular Lines
172(1)
Equations of Lines
173(5)
Summary of Coordinate Geometry Formulas
178(2)
CQR Review 180(8)
CQR Resource Center 188(2)
Glossary 190(6)
Index 196

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