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Barron's E-Z geometry

Author: Lawrence S Leff
Publisher: Hauppauge, N.Y. : Barron's Educational Series, ©2009.
Series: E-Z series.
Edition/Format:   Print book : English : [4th ed.]View all editions and formats
Summary:
Explains the principles of plane geometry and includes practice exercises and model problems.
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Lawrence S Leff
ISBN: 9780764139185 0764139185 9780764141270 0764141279
OCLC Number: 263147042
Notes: Revised edition of: Geometry the easy way. 3rd ed. 1997.
Description: v, 497 pages : color illustrations ; 26 cm
Contents: Preface --
1. 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 --
2. 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 --
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. Geometric inequalities --
Some basic properties of inequalities --
Inequality relationships in a triangle --
The indirect method of proof --
Review exercises for chapter 8 --
9. 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 --
10. 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 --
Review exercises for chapter 10 --
11. 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 --
12. 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 --
13. 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 --
14. 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 --
15. 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 --
16. 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 --
17. Transformation geometry --
Terms and notation --
Congruence transformations --
Classifying isometries --
Size transformations --
Types of symmetry --
Transformations in the coordinate plane --
Composing Transformations --
Review exercises for chapter 17 --
Cumulative review exercises : chapters 12-17 --
Some geometric relationships and formulas worth remembering --
Glossary --
Answers to chapter exercises --
Solutions to cumulative review exercises.
Series Title: E-Z series.
Other Titles: E-Z geometry
Responsibility: Lawrence S. Leff.
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Abstract:

Explains the principles of plane geometry and includes practice exercises and model problems.

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