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Geometry: 1001 Practice Problems For Dummies (plus Free Online Practice) [Mīkstie vāki]

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  • Formāts: Paperback / softback, 464 pages, height x width x depth: 252x201x33 mm, weight: 726 g
  • Izdošanas datums: 27-Jun-2022
  • Izdevniecība: For Dummies
  • ISBN-10: 1119883687
  • ISBN-13: 9781119883685
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Geometry: 1001 Practice Problems For Dummies (plus Free Online Practice)Palielināt
  • Formāts: Paperback / softback, 464 pages, height x width x depth: 252x201x33 mm, weight: 726 g
  • Izdošanas datums: 27-Jun-2022
  • Izdevniecība: For Dummies
  • ISBN-10: 1119883687
  • ISBN-13: 9781119883685
Citas grāmatas par šo tēmu:
Permanent link: https://www.kriso.lv/db/9781119883685.html
Keywords:
Offers over one thousand problems with step-by-step answer explanations for practicing geometry skills to encourage deeper understanding and retention.

Just a few practice questions to help you square the circle in geometry

Geometry: 1001 Practice Problems For Dummies gives you 1,001 opportunities to practice solving problems from all the major topics in Geometry—in the book and online! Get extra help with tricky subjects, solidify what you’ve already learned, and get in-depth walk-throughs for every problem with this useful book. These practice problems and detailed answer explanations will help you master geometry from every angle, no matter what your skill level. Thanks to Dummies, you have a resource to help you put key concepts into practice.

  • Work through practice problems on all Geometry topics covered class
  • Step through detailed solutions for every problem to build your understanding
  • Access practice questions online to study anywhere, any time
  • Improve your grade and up your study game with practice, practice, practice

The material presented in Geometry: 1001 Practice Problems For Dummies is an excellent resource for students, as well as for parents and tutors looking to help supplement Geometry instruction.

Geometry: 1001 Practice Problems For Dummies (9781119883685) was previously published as 1,001 Geometry Practice Problems For Dummies (9781118853269). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product.

Introduction 1(2)
What You'll Find
1(1)
Beyond the Book
1(1)
Where to Go for Additional Help
2(1)
PART 1 THE QUESTIONS
3(152)
Chapter 1 Diving into Geometry
5(8)
The Problems You'll Work On
5(1)
What to Watch Out For
5(1)
Understanding Basic Geometric Definitions
6(1)
Applying Algebra to Basic Geometric Definitions
7(1)
Recognizing Geometric Terms
8(1)
Properties and Postulates
8(2)
Adjacent Angles, Vertical Angles, and Angles That Form Linear Pairs
10(1)
Complementary and Supplementary Angles
10(1)
Angles in a Triangle
11(2)
Chapter 2 Constructions
13(4)
The Problems You'll Work On
13(1)
What to Watch Out For
13(1)
Creating Congruent Constructions
14(1)
Constructions Involving Angles and Segments
14(1)
Parallel and Perpendicular Lines
15(1)
Creative Constructions
15(2)
Chapter 3 Geometric Proofs with Triangles
17(14)
The Problems You'll Work On
17(1)
What to Watch Out For
17(1)
Triangle Congruence Theorems
18(3)
Completing Geometric Proofs Using Triangle Congruence Theorems
21(3)
Overlapping Triangle Proofs
24(4)
Indirect Proofs
28(3)
Chapter 4 Classifying Triangles
31(10)
The Problems You'll Work On
31(1)
What to Watch Out For
31(1)
Classifying Triangles by Their Sides
32(1)
Properties of Isosceles, Equilateral, and Right Triangles
33(1)
Classifying Triangles by Their Angles
34(1)
Understanding the Classification of Triangles
35(1)
Geometric Proofs Involving Isosceles Triangles
36(5)
Chapter 5 Investigating the Centers of a Triangle
41(8)
The Problems You'll Work On
41(1)
What to Watch Out For
41(1)
The Incenter of a Triangle
42(1)
Understanding the Orthocenter
42(1)
Understanding Centroids
43(1)
Finding the Centroid of a Triangle
44(1)
The Circumcenter of a Triangle
45(1)
Recognizing Triangle Centers
45(2)
Constructing the Centers of a Triangle
47(1)
The Euler Line
48(1)
Chapter 6 Similar Triangles
49(10)
The Problems You'll Work On
49(1)
What to Watch Out For
49(1)
Understanding Similar Triangles
50(1)
Midsegments
50(1)
Creating Similar Triangles
51(1)
Similar-Triangle Word Problems
52(1)
Proving That Two Triangles Are Similar to Each Other
53(1)
Proving That Corresponding Sides Are in Proportion
54(1)
Proving with the Means and Extremes
55(4)
Chapter 7 The Right Triangle
59(8)
The Problems You'll Work On
59(1)
What to Watch Out For
59(1)
Pythagorean Theorem
60(1)
Right Triangle Proportions
60(2)
Word Problems Involving Right-Triangle Proportions
62(1)
Working with Special Right Triangles
63(1)
Application of Special Right Triangles
63(2)
Trigonometric Ratios
65(1)
Applying the Trigonometric Ratios to Word Problems
66(1)
Chapter 8 Triangle Inequalities
67(8)
The Problems You'll Work On
67(1)
What to Watch Out For
67(1)
Relationships between the Sides and Angles of a Triangle
68(1)
Triangle Inequality Theorem
69(1)
Finding the Missing Side Length
69(1)
Isosceles Triangles
70(1)
Using the Exterior Angle Theorem of a Triangle
70(2)
Geometric Proofs Involving Triangle Inequality Theorems
72(3)
Chapter 9 Polygons
75(6)
The Problems You'll Work On
75(1)
What to Watch Out For
75(1)
Naming Polygons
76(1)
Understanding Angles of a Polygon
76(1)
The Sum of the Interior and Exterior Angles of a Polygon
77(2)
Finding the Area of Regular Polygons
79(2)
Chapter 10 Properties of Parallel Lines
81(8)
The Problems You'll Work On
81(1)
What to Watch Out For
81(1)
Alternate Interior and Alternate Exterior Angles
82(1)
Classifying Triangles by Their Angle Measurements
83(1)
Finding Angle Measures Involving Parallel Lines
83(1)
Reviewing Corresponding, Adjacent, and Vertical Angles
84(1)
More Practice with Angles Involving Parallel Lines
85(1)
Geometric Proof Incorporating Parallel Lines
86(1)
Geometric Proof Incorporating Parallel Lines
87(2)
Chapter 11 Properties of Quadrilaterals
89(8)
The Problems You'll Work On
89(1)
What to Watch Out For
89(1)
Properties of Parallelograms
90(1)
Word Problems with Parallelograms
91(1)
Properties of Rectangles
91(1)
Finding the Diagonal of a Rectangle
92(1)
Reviewing the Properties of a Rhombus
93(1)
Diagonal Properties of a Rhombus
93(1)
Properties of a Square
94(2)
Properties of a Trapezoid
96(1)
Chapter 12 Coordinate Geometry
97(8)
The Problems You'll Work On
97(1)
What to Watch Out For
97(1)
Determining Distance
98(1)
Using the Midpoint Formula
98(1)
Using the Slope Formula
99(1)
Parallel and Perpendicular Lines
100(1)
Writing the Equation of a Line in Slope-Intercept Form
101(1)
Coordinate Geometry Proofs
102(3)
Chapter 13 Transformational Geometry
105(16)
The Problems You'll Work On
105(1)
What to Watch Out For
105(1)
Rigid Motion
106(3)
Reflecting Points over the x- and y-axes
109(1)
Writing Equations for Lines of Reflection
110(1)
Understanding Point Symmetry
110(1)
Triangle Translations
111(1)
Translating Points
112(1)
Finding Translation Rules
113(1)
Doing Dilations
113(1)
Practicing with Rotations
114(1)
Understanding the Rules for Rotations
115(1)
Rigid Motion of Triangles
115(1)
Compositions of Transformations
116(1)
Glide Reflections and Direct and Indirect Isometries
117(1)
Transformations of a Segment
118(1)
Trying Rigid Motion Constructions
118(3)
Chapter 14 Exploring Circles
121(6)
The Problems You'll Work On
121(1)
What to Watch Out For
121(1)
Working with the Circumference of a Circle
122(1)
Understanding the Area of a Circle
122(1)
Working with Sectors
123(1)
Arc Length
124(1)
The Equation of a Circle in Standard Form
124(3)
Chapter 15 Circle Theorems
127(14)
The Problems You'll Work On
127(1)
What to Watch Out For
127(1)
Central Angles and Arcs
128(1)
Inscribed Angles and Arcs
128(1)
Angles Formed by Intersecting Chords of a Circle
129(2)
Angles Formed by Secants and Tangents
131(1)
The Intersecting Chord Theorem
132(3)
Lengths of Tangents and Secants
135(2)
Tangent and Radius
137(1)
"BIG" Circle Problems
137(1)
Circle Proofs
138(3)
Chapter 16 Three-Dimensional Geometry
141(8)
The Problems You'll Work On
141(1)
What to Watch Out For
141(1)
Understanding Points, Lines, and Planes
142(1)
Surface Area of Solid Figures
143(2)
Calculating the Volume of Solid Figures
145(1)
Rotations of Two-Dimensional Figures
146(3)
Chapter 17 Locus Problems
149(6)
The Problems You'll Work On
149(1)
What to Watch Out For
149(1)
Basic Locus Theorems
150(1)
Loci Using Coordinate Geometry
150(1)
The Locus of Points Equidistant from One or Two Lines
151(1)
The Locus of Points Equidistant from Two Points
151(1)
Writing the Equation of a Circle
152(1)
Compound Locus in Coordinate Geometry
152(1)
Compound and Challenging Locus Problems
153(2)
PART 2 THE ANSWERS
155(284)
Chapter 18 Answers and Explanations
157(282)
Index 439
Allen Ma and Amber Kuang are math teachers at John F. Kennedy High School in Bellmore, NY. Allen has taught geometry for more than 25 years, has coached the math team, and is a former honors math research coordinator. Amber has taught all levels of math, from algebra to calculus, for 20 years.