Must Know High School Geometry
A UNIQUE NEW APPROACH THAT’S LIKE A LIGHTNING BOLT TO THE BRAIN


You know that moment when you feel as though a lightning bolt has hit you because you finally get something? That’s how this book will make you react. (We hope!) Each chapter makes sure that what you really need to know is clear right off the bat and sees to it that you build on this knowledge. Where other books ask you to memorize stuff, we’re going to show you the must know ideas that will guide you toward success in geometry. You will start each chapter learning what the must know ideas behind a geometry subject are, and these concepts will help you solve the geometry problems that you find in your classwork and on exams.


Dive into this book and find:


250+ practice questions that mirror what you will find in your classwork and on exams
• A bonus app with 100+ flashcards that will reinforce what you’ve learned
Extensive examples that drive home essential concepts
• An easy-access setup that allows you to jump in and out of subjects
• Geometry topics aligned to national and state education standards
Special help for more challenging geometry subjects, including proofs, transformations, and constructions


We’re confident that the must know ideas in this book will have you up and solving geometry problems in no time—or at least in a reasonable amount of time!


The authors, between them, teach high school math courses including geometry, trigonometry, pre-calculus, calculus, and discrete math. Whew!


1130006249
Must Know High School Geometry
A UNIQUE NEW APPROACH THAT’S LIKE A LIGHTNING BOLT TO THE BRAIN


You know that moment when you feel as though a lightning bolt has hit you because you finally get something? That’s how this book will make you react. (We hope!) Each chapter makes sure that what you really need to know is clear right off the bat and sees to it that you build on this knowledge. Where other books ask you to memorize stuff, we’re going to show you the must know ideas that will guide you toward success in geometry. You will start each chapter learning what the must know ideas behind a geometry subject are, and these concepts will help you solve the geometry problems that you find in your classwork and on exams.


Dive into this book and find:


250+ practice questions that mirror what you will find in your classwork and on exams
• A bonus app with 100+ flashcards that will reinforce what you’ve learned
Extensive examples that drive home essential concepts
• An easy-access setup that allows you to jump in and out of subjects
• Geometry topics aligned to national and state education standards
Special help for more challenging geometry subjects, including proofs, transformations, and constructions


We’re confident that the must know ideas in this book will have you up and solving geometry problems in no time—or at least in a reasonable amount of time!


The authors, between them, teach high school math courses including geometry, trigonometry, pre-calculus, calculus, and discrete math. Whew!


13.49 In Stock
Must Know High School Geometry

Must Know High School Geometry

Must Know High School Geometry

Must Know High School Geometry

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Overview

A UNIQUE NEW APPROACH THAT’S LIKE A LIGHTNING BOLT TO THE BRAIN


You know that moment when you feel as though a lightning bolt has hit you because you finally get something? That’s how this book will make you react. (We hope!) Each chapter makes sure that what you really need to know is clear right off the bat and sees to it that you build on this knowledge. Where other books ask you to memorize stuff, we’re going to show you the must know ideas that will guide you toward success in geometry. You will start each chapter learning what the must know ideas behind a geometry subject are, and these concepts will help you solve the geometry problems that you find in your classwork and on exams.


Dive into this book and find:


250+ practice questions that mirror what you will find in your classwork and on exams
• A bonus app with 100+ flashcards that will reinforce what you’ve learned
Extensive examples that drive home essential concepts
• An easy-access setup that allows you to jump in and out of subjects
• Geometry topics aligned to national and state education standards
Special help for more challenging geometry subjects, including proofs, transformations, and constructions


We’re confident that the must know ideas in this book will have you up and solving geometry problems in no time—or at least in a reasonable amount of time!


The authors, between them, teach high school math courses including geometry, trigonometry, pre-calculus, calculus, and discrete math. Whew!



Product Details

ISBN-13: 9781260454284
Publisher: McGraw-Hill Professional Publishing
Publication date: 06/21/2019
Pages: 496
Sales rank: 261,948
Product dimensions: 7.20(w) x 8.90(h) x 0.90(d)
Age Range: 13 - 17 Years

About the Author

Allen Ma is a recipient of the Nassau County Long Island Math Teacher of the Year award.


Amber Kuang is a New York State Regent Exams review instructor.

Table of Contents

Introduction 1

The Flashcard App 3

1 Definitions 5

The Basics 6

Bisectors and Midpoints 7

Types of Angles 13

Reflexive, Substitution, and Transitive Property 19

Addition and Subtraction Postulate 20

2 Triangle Proofs 27

Side-Side-Side Postulate for Proving Triangles Congruent 30

Side-Angle-Side Postulate for Proving Triangles Congruent 32

Angle-Side-Angle Postulate for Proving Triangles Congruent 34

Angle-Angle-Side Postulate for Proving Triangles Congruent 37

Why Is Side-Side-Angle Not a Postulate for Proving Triangles Congruent? 39

Why Is Angle-Angle-Angle Not a Postulate for Proving Triangles Congruent? 40

Hypotenuse-Leg Postulate for Proving Triangles Congruent 41

Corresponding Parts of Congruent Triangles Are Congruent 46

3 Classifying Triangles 57

Solving for the Angles in a Triangle 58

Exterior Angle Theorem 59

Classifying Triangles by Angle Measurements 62

Isosceles, Equilateral, and Scalene Triangles 66

Relationships of the Sides and Angles of Triangles 73

Median, Altitude, and Angle Bisector 76

4 Centers of a Triangle 93

Centroid of a Triangle 94

The Incenter of a Triangle 96

The Orthocenter of a Triangle 99

The Circumcenter of a Triangle 100

The Euler Line 104

5 Similarity 109

Proportions in Similar Triangles 111

Determining Whether Triangles Are Similar 114

Perimeter and Area of Similar Triangles 116

Parallel Lines Inside a Triangle 118

Proportions of Similar Right Triangles 123

Similar Triangle Proofs 126

6 Getting to Know Right Triangles 137

The Pythagorean Theorem 138

Pythagorean Triples 142

Special Right Triangles 142

Right Triangle Trigonometry 152

Word Problems 157

7 Parallel Lines 165

Alternate Interior Angles 166

Corresponding Angles 169

Alternate Exterior, Same-Side

Interior, and Same-Side Exterior Angles 172

Auxiliary Lines 176

Proving That the Sum of the Angles of a Triangle Is 180° 179

Determining if Lines Are Parallel 180

8 Parallelograms 191

Rectangles 197

Rhombuses 200

Squares 202

Trapezoids 206

Median of a Trapezoid 209

9 Coordinate Geometry 215

Distance Formula 218

Using the Distance Formula to Classify Shapes 219

Midpoint Formula 222

Slope Formula 225

Writing the Equations of Parallel and Perpendicular Lines 235

Partitioning a Line Segment 237

10 Transformations 245

Reflections 246

Reflection Over the Y-Axis 246

Reflection Over the X-Axis 248

Reflection Over the Line y = x 249

Reflecting a Point Over Horizontal and Vertical Lines 250

Reflecting a Point Over an Oblique Line 252

Finding the Equation for the Line of Reflection 256

Point Reflections 258

Rotations 258

Summary of Rules for Rotations with the Center of Rotation at the Origin 259

Rotation with Center of Rotation Not at the Origin 260

Translations 262

Dilation 264

Dilations Not Centered at the Origin 268

Composition of Transformations 273

11 Circle Theorems Involving Angels and Segments 281

Definition of Terms Related to a Circle 282

Lengths of Intersecting Chords 287

Finding the Length of Secant Segments 289

Length of Tangent-Secant Segments from an External Point 292

Angles Associated with the Circle 293

Central Angle 293

Inscribed Angle 294

Angle Formed by Two Intersecting Chords 296

Exterior Angles of a Circle 298

12 Circumference and the Area of Circles 303

Finding the Area of a Sector 305

Finding the Length of the Arc of a Sector 309

Standard Form of a Circle 313

General Form of a Circle 314

Graphing a Circle on the Coordinate Plane 316

13 Volume of Three-Dimensional Shapes 323

Cones 324

Cylinders 326

Prisms 329

Square Pyramids 334

Spheres 336

From 2D to 3D 337

14 Constructions 347

Copying Segments and Angles 348

Bisectors and Perpendicular and Parallel Lines 351

Constructions Involving Perpendicular Lines 353

Constructing Parallel Lines 357

Construction Applications 359

Constructing an Altitude and a Median 365

Constructing a Square and Hexagon Inscribed in a Circle 367

Constructing Transformations 370

Answer Key 385

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