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E-grāmata: Practice Makes Perfect Geometry

  • Formāts: 160 pages
  • Izdošanas datums: 26-May-2010
  • Izdevniecība: McGraw-Hill Contemporary
  • Valoda: eng
  • ISBN-13: 9780071638135
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  • Formāts: 160 pages
  • Izdošanas datums: 26-May-2010
  • Izdevniecība: McGraw-Hill Contemporary
  • Valoda: eng
  • ISBN-13: 9780071638135
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A no-nonsense practical guide to geometry, providing concise summaries, clear model examples, and plenty of practice, making this workbook the ideal complement to class study or self-study, preparation for exams or a brush-up on rusty skills.

About the Book
Established as a successful practical workbook series with more than 20 titles in the language learning category, Practice Makes Perfect now provides the same clear, concise approach and extensive exercises to key fields within mathematics.The key to the Practice Makes Perfect series is the extensive exercises that provide learners with all the practice they need for mastery.

  • Not focused on any particular test or exam, but complementary to most geometry curricula
  • Deliberately all-encompassing approach: international perspective and balance between traditional and newer approaches.
  • Large trim allows clear presentation of worked problems, exercises, and explained answers.Features
  • No-nonsense approach: provides clear presentation of content.
  • Over 500 exercises and answers covering all aspects of geometry
  • Successful series: "Practice Makes Perfect" has sales of 1,000,000 copies in the language category – now applied to mathematics
  • Workbook is not exam specific, yet it provides thorough coverage of the geometry skills required in most math tests.

Introduction ix
1 Logic and reasoning
1(12)
Patterns
1(1)
Statements
2(1)
Negation
2(1)
Conjunction
3(1)
Disjunction
3(1)
Conditionals and biconditionals
4(3)
Deduction
7(3)
Reasoning in algebra
10(1)
Constructing an argument
11(2)
2 Lines and angles
13(10)
Undefined terms
13(1)
Rays and segments
14(1)
Measuring lengths
15(1)
Angles
16(2)
Measuring angles
18(2)
Midpoints and bisectors
20(1)
Angle relationships
21(2)
3 Parallel and perpendicular lines
23(4)
Parallel lines
23(2)
Parallel and perpendicular lines
25(1)
Proving lines are parallel
26(1)
4 Congruent triangles
27(8)
Congruent polygons
27(1)
Triangles and congruence
28(2)
CPCTC
30(1)
Two-stage proofs
31(2)
Congruent triangle proofs
33(2)
5 Inequalities
35(4)
Inequalities in one triangle
35(2)
Inequalities in two triangles
37(2)
6 Quadrilaterals and other polygons
39(10)
Diagonals and convex polygons
39(1)
Angles in polygons
40(1)
Quadrilaterals
41(5)
Proofs about quadrilaterals
46(3)
7 Similarity
49(8)
Ratio and proportion
49(1)
Similar polygons
50(1)
Proving triangles similar
50(2)
Proving segments proportional
52(1)
Side-splitter theorem
53(1)
Dividing transversals proportionally
54(1)
Similar-triangle proofs
55(2)
8 Right triangles
57(6)
The Pythagorean theorem
57(1)
Converse of the Pythagorean theorem
57(1)
Special right triangles
58(1)
Altitude to the hypotenuse
59(4)
9 Circles
63(10)
Lines and segments in circles
63(1)
Angles in and around the circle
64(5)
Line segments
69(3)
Equation of a circle
72(1)
10 Trigonometry
73(10)
Ratios
73(1)
Finding a side of a right triangle
74(1)
Finding an angle of a right triangle
75(1)
Nonright triangles
76(5)
Area of triangles and parallelograms
81(2)
11 Coordinate geometry
83(8)
Distance
83(1)
Midpoint
84(1)
Slope
84(1)
Equation of a line
85(3)
Parallel and perpendicular lines
88(1)
Coordinate proof
89(2)
12 Transformations
91(6)
Reflection
91(2)
Translation
93(1)
Rotation
93(1)
Dilation
94(3)
13 Area, perimeter, and circumference
97(12)
Rectangles and squares
97(1)
Parallelograms and trapezoids
98(1)
Triangles
99(1)
Regular polygons
100(1)
Circles
101(2)
Areas and perimeters of similar polygons
103(1)
Areas of shaded regions
104(5)
14 Surface area
109(8)
Prisms
109(1)
Cylinders
110(1)
Pyramids
111(1)
Cones
112(1)
Spheres
113(1)
Surface areas of similar solids
114(3)
15 Volume
117(6)
Prisms
117(1)
Cylinders
118(1)
Pyramids
118(1)
Cones
119(1)
Spheres
120(1)
Volumes of similar solids
120(3)
Answer key 123
Carolyn Wheater teaches middle school and upper school mathematics at the Nightingale-Bamford School in New York City. Educated at Marymount Manhattan College and the University of Massachusetts, Amherst, she has taught math and computer technology for 30 years to students from preschool through college.