Geometry,9780030522192

Geometry

by ; ; ; ; ;
ISBN13: 9780030522192
ISBN10: 0030522196
Format: Hardcover
Pub. Date: 2000-06-01
Publisher(s): Houghton Mifflin Harcourt School
List Price: $129.50

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Table of Contents

Exploring Geometry
2(76)
Building Your Geometry Portfolio
4(5)
The Building Blocks of Geometry
9(8)
Measuring Length
17(8)
Measuring Angles
25(10)
Geometry Using Paper Folding
35(8)
Special Points in Triangles
43(7)
Motion in Geometry
50(9)
Motion in the Coordinate Plane
59(19)
Chapter Project: Origami Paper Folding
68(2)
Chapter Review and Assessment
70(5)
Alternative Assessment
75(1)
Cumulative Assessment: College Entrance Exam Practice-Chapter 1
76(2)
Reasoning in Geometry
78(58)
An Introduction to Proofs
80(10)
Eyewitness Math: Too Tough for Computers
88(2)
An Introduction to Logic
90(9)
Definitions
99(8)
Building a System of Geometry Knowledge
107(10)
Conjectures That Lead to Theorems
117(19)
Chapter Project: Solving Logic Puzzles
126(2)
Chapter Review and Assessment
128(5)
Alternative Assessment
133(1)
Cumulative Assessment: College Entrance Exam Practice-Chapters 1-2
134(2)
Parallels and Polygons
136(72)
Symmetry in Polygons
138(10)
Properties of Quadrilaterals
148(7)
Parallel Lines and Transversals
155(7)
Proving That Lines Are Parallel
162(8)
Eyewitness Math: Egg Over Alberta
168(2)
The Triangle Sum Theorem
170(7)
Angles in Polygons
177(6)
Midsegments of Triangles and Trapezoids
183(7)
Analyzing Polygons Using Coordinates
190(18)
Chapter Project: String Figures
198(2)
Chapter Review and Assessment
200(5)
Alternative Assessment
205(1)
Cumulative Assessment: College Entrance Exam Practice-Chapters 1-3
206(2)
Triangle Congruence
208(84)
Congruent Polygons
210(7)
Triangle Congruence
217(9)
Analyzing Triangle Congruence
226(9)
Using Triangle Congruence
235(8)
Proving Quadrilateral Properties
243(10)
Conditions for Special Quadrilaterals
253(8)
Compass and Straightedge Constructions
261(10)
Constructing Transformations
271(21)
Chapter Project: Flexagons
282(2)
Chapter Review and Assessment
284(5)
Alternative Assessment
289(1)
Cumulative Assessment: College Exam Practice-Chapters 1-4
290(2)
Perimeter and Area
292(78)
Perimeter and Area
294(9)
Areas of Triangles, Parallelograms, and Trapezoids
303(11)
Eyewitness Math: An Ancient Wonder
312(2)
Circumferences and Areas of Circles
314(7)
The Pythagorean Theorem
321(10)
Special Triangles and Areas of Regular Polygons
331(8)
The Distance Formula and the Method of Quadrature
339(8)
Proofs Using Coordinate Geometry
347(6)
Geometric Probability
353(17)
Chapter Project: Area of a Polygon
360(2)
Chapter Review and Assessment
362(5)
Alternative Assessment
367(1)
Cumulative Assessment: College Entrance Exam Practice-Chapters 1-5
368(2)
Shapes in Space
370(60)
Solid Shapes
372(7)
Spatial Relationships
379(9)
Prisms
388(8)
Coordinates in Three Dimensions
396(6)
Lines and Planes in Space
402(7)
Perspective Drawing
409(21)
Chapter Project: Polyhedra
418(2)
Chapter Review and Assessment
420(5)
Alternative Assessment
425(1)
Cumulative Assessment: College Entrance Exam Practice-Chapters 1-6
426(4)
Surface Area and Volume
430(66)
Surface Area and Volume of Prisms
437(8)
Surface Area and Volume of Pyramids
445(8)
Surface Area and Volume of Cylinders
453(7)
Surface Area and Volume of Cones
460(9)
Surface Area and Volume of Spheres
469(9)
Eyewitness Math: The Treasure of King Tut's Tomb
476(2)
Three-Dimensional Symmetry
478(18)
Chapter Project: A Three-Dimensional Puzzle
486(2)
Chapter Review and Assessment
488(5)
Alternative Assessment
493(1)
Cumulative Assessment: College Entrance Exam Practice-Chapters 1-7
494(2)
Similar Shapes
496(66)
Dilations and Scale Factors
498(9)
Similar Polygons
507(10)
Triangle Similarity
517(8)
The Side-Splitting Theorem
525(8)
Indirect Measurement and Additional Similarity Theorems
533(10)
Area and Volume Ratios
543(19)
Chapter Project: Indirect Measurement and Scale Models
552(2)
Chapter Review and Assessment
554(5)
Alternative Assessment
559(1)
Cumulative Assessment: College Entrance Exam Practice-Chapters 1-8
560(2)
Circles
562(66)
Chords and Arcs
564(9)
Tangents to Circles
573(7)
Inscribed Angles and Arcs
580(8)
Angles Formed by Secants and Tangents
588(12)
Eyewitness Math: Point of Disaster
598(2)
Segments of Tangents, Secants, and Chords
600(10)
Circles in the Coordinate Plane
610(18)
Chapter Project: Tangent Circles
618(2)
Chapter Review and Assessment
620(5)
Alternative Assessment
625(1)
Cumulative Assessment: College Entrance Exam Practice-Chapters 1-9
626(2)
Trigonometry
628(68)
Tangent Ratios
630(9)
Sines and Cosines
639(8)
Extending the Trigonometric Ratios
647(7)
The Law of Sines
654(9)
The Law of Cosines
663(9)
Eyewitness Math: How old is the Universe?
670(2)
Vectors in Geometry
672(8)
Rotations in the Coordinate Plane
680(16)
Chapter Project: Plimpton 322 Revisited
686(2)
Chapter Review and Assessment
688(5)
Alternative Assessment
693(1)
Cumulative Assessment: College Entrance Exam Practice-Chapter 1-10
694(2)
Taxicabs, Fractals, and More
696(70)
Golden Connections
698(8)
Taxicab Geometry
706(6)
Graph Theory
712(9)
Topology: Twisted Geometry
721(8)
Euclid Unparallelled
729(9)
Fractal Geometry
738(9)
Other Transformations: Projective Geometry
747(19)
Chapter Project: The Tower of Hanoi
756(2)
Chapter Review and Assessment
758(5)
Alternative Assessment
763(1)
Cumulative Assessment: College Entrance Exam Practice-Chapters 1-11
764(2)
A Closer Look at Proof and Logic
766(51)
Truth and Validity in Logical Arguments
768(8)
And, Or, and Not in Logical Arguments
776(8)
Eyewitness Math: The Ends of Time
782(2)
A Closer Look at If-Then Statements
784(7)
Indirect Proof
791(7)
Computer Logic
798(19)
Chapter Project: Two Famous Theorems
805(3)
Chapter Review and Assessment
808(5)
Alternative Assessment
813(1)
Cumulative Assessment: College Entrance Exam Practice-Chapters 1-12
814(3)
INFO BANK 817(121)
Extra Practice
818(40)
Postulates, Theorems, and Definitions
858(12)
Table of Trigonometric Ratios
870(1)
Glossary
871(8)
Selected Answers
879(59)
Index 938(12)
Credits 950

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