9780395977279

Geometry, Grades 9-11: Mcdougal Littell Geometry

by
  • ISBN13:

    9780395977279

  • ISBN10:

    0395977274

  • Format: Hardcover
  • Copyright: 1/26/1999
  • Publisher: MCDOUGAL, LITTELL/HOUGHTON MIFFLIN

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Table of Contents

Points, Lines, Planes, and Angles
Some Basic Figures
A Game and Some Geometry
1(4)
Points, Lines, and Planes
5(6)
Definitions and Postulates
Segments, Rays, and Distance
11(6)
Angles
17(5)
Postulates and Theorems Relating Points, Lines, and Planes
22(11)
Deductive Reasoning
Using Deductive Reasoning
If-Then Statements; Converses
33(4)
Properties from Algebra
37(6)
Proving Theorems
43(7)
Theorems about Angles and Perpendicular Lines
Special Pairs of Angles
50(6)
Perpendicular Lines
56(4)
Planning a Proof
60(13)
Parallel Lines and Planes
When Lines and Planes Are Parallel
Definitions
73(5)
Properties of Parallel Lines
78(5)
Proving Lines Parallel
83(10)
Applying Parallel Lines to Polygons
Angles of a Triangle
93(8)
Angles of a Polygon
101(5)
Inductive Reasoning
106(11)
Congruent Triangles
Corresponding Parts in a Congruence
Congruent Figures
117(5)
Some Ways to Prove Triangles Congruent
122(5)
Using Congruent Triangles
127(7)
Some Theorems Based on Congruent Triangles
The Isosceles Triangle Theorems
134(6)
Other Methods of Proving Triangles Congruent
140(6)
More about Proof in Geometry
Using More than One Pair of Congruent Triangles
146(6)
Medians, Altitudes, and Perpendicular Bisectors
152(15)
Quadrilaterals
Parallelograms
Properties of Parallelograms
167(5)
Ways to Prove that Quadrilaterals Are Parallelograms
172(5)
Theorems Involving Parallel Lines
177(7)
Special Quadrilaterals
Special Parallelograms
184(6)
Trapezoids
190(13)
Inequalities In Geometry
Inequalities and Indirect Proof
Inequalities
203(5)
Inverses and Contrapositives
208(6)
Indirect Proof
214(5)
Inequalities in Triangles
Inequalities for One Triangle
219(9)
Inequalities for Two Triangles
228(13)
Similar Polygons
Ratio, Proportion, and Similarity
Ratio and Proportion
241(4)
Properties of Proportions
245(3)
Similar Polygons
248(6)
Working with Similar Triangles
A Postulate for Similar Triangles
254(9)
Theorems for Similar Triangles
263(6)
Proportional Lengths
269(16)
Right Triangles
Right Triangles
Similarity in Right Triangles
285(5)
The Pythagorean Theorem
290(5)
The Converse of the Pythagorean Theorem
295(5)
Special Right Triangles
300(5)
Trigonometry
The Tangent Ratio
305(7)
The Sine and Cosine Ratios
312(5)
Applications of Right Triangle Trigonometry
317(12)
Circles
Tangents, Arcs, and Chords
Basic Terms
329(4)
Tangents
333(6)
Arcs and Central Angles
339(5)
Arcs and Chords
344(5)
Angles and Segments
Inscribed Angles
349(8)
Other Angles
357(4)
Circles and Lengths of Segments
361(14)
Constructions and Loci
Basic Constructions
What Construction Means
375(5)
Perpendiculars and Parallels
380(6)
Concurrent Lines
386(6)
More Constructions
Circles
392(4)
Special Segments
396(5)
Locus
The Meaning of Locus
401(4)
Locus Problems
405(5)
Locus and Construction
410(13)
Areas of Plane Figures
Areas of Polygons
Areas of Rectangles
423(6)
Areas of Parallelograms, Triangles, and Rhombuses
429(6)
Areas of Trapezoids
435(5)
Areas of Regular Polygons
440(5)
Circles, Similar Figures, and Geometric Probability
Circumferences and Areas of Circles
445(7)
Arc Lengths and Areas of Sectors
452(4)
Ratios of Areas
456(5)
Geometric Probability
461(14)
Areas and Volumes of Solids
Important Solids
Prisms
475(7)
Pyramids
482(8)
Cylinders and Cones
490(7)
Similar Solids
Spheres
497(11)
Areas and Volumes of Similar Solids
508(15)
Coordinate Geometry
Geometry and Algebra
The Distance Formula
523(6)
Slope of a Line
529(6)
Parallel and Perpendicular Lines
535(4)
Vectors
539(5)
The Midpoint Formula
544(4)
Lines and Coordinate Geometry Proofs
Graphing Linear Equations
548(5)
Writing Linear Equations
553(3)
Organizing Coordinate Proofs
556(4)
Coordinate Geometry Proofs
560(11)
Transformations
Some Basic Mappings
Mappings and Functions
571(6)
Reflections
577(6)
Translations and Glide Reflections
583(5)
Rotations
588(4)
Dilations
592(7)
Composition and Symmetry
Composites of Mappings
599(6)
Inverses and the Identity
605(4)
Symmetry in the Plane and in Space
609(17)
Examinations
626(14)
College Entrance Exams
640(4)
Logic
644(11)
Flow Proofs
655(2)
Handbook for Integrating Coordinate and Transformational Geometry
657(19)
Discrete Mathematics
676(8)
Fractal Geometry
684(8)
Postulates
692(1)
Theorems
693(8)
Constructions
701(1)
Portfolio Projects
702(8)
Constructions Using Paper Folding
710(6)
Coordinates in Three Dimensions
716(3)
Changing the Dimensions of Geometric Figures
719(3)
Relationships Among Sine, Cosine, and Tangent
722(4)
Glossary 726(7)
Index 733

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