Must Know High School Geometry, Second Edition

A unique and effective way to learn Geometry—updated with the latest instruction and review

Must Know High School Geometry provides a fresh approach to learning. As part of our Must Know series, this new edition makes sure what you really need to know is clear up-front. Rather than starting with goals to be met, chapters begin by telling you the most important concepts about the topic at hand—and then show you exactly how these concepts help you accomplish your goals.

Written by expert geometry educators, Must Know High School Geometry, Second Edition provides updated lesson content and useful examples to help clarify each topic. Every chapter closes with reinforcing exercises to get you the practice you need to gain confidence. New features to this edition focus on extra support and helping you avoid common mistakes. In the end, you get everything you need to build your geometry skills quickly and painlessly.

Features:

  • More than 250 practice questions that parallel what you will find in your classwork and on exams
  • Bonus app that includes 100+ flashcards to reinforce concepts
  • “Extra Help” and “Easy Mistake” features put the emphasis on how to improve and what pitfalls to avoid
  • Geometry topics aligned to national and state educational standards
  • Practical examples throughout and an answer key with explanations make sure you understand the topics
  • Conversational writing style and informative IRL (In Real Life) and BTW (By the Way) sidebars
  • A special section for teachers with tips and strategies on teaching the material and content-specific links and resources
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Must Know High School Geometry, Second Edition

A unique and effective way to learn Geometry—updated with the latest instruction and review

Must Know High School Geometry provides a fresh approach to learning. As part of our Must Know series, this new edition makes sure what you really need to know is clear up-front. Rather than starting with goals to be met, chapters begin by telling you the most important concepts about the topic at hand—and then show you exactly how these concepts help you accomplish your goals.

Written by expert geometry educators, Must Know High School Geometry, Second Edition provides updated lesson content and useful examples to help clarify each topic. Every chapter closes with reinforcing exercises to get you the practice you need to gain confidence. New features to this edition focus on extra support and helping you avoid common mistakes. In the end, you get everything you need to build your geometry skills quickly and painlessly.

Features:

  • More than 250 practice questions that parallel what you will find in your classwork and on exams
  • Bonus app that includes 100+ flashcards to reinforce concepts
  • “Extra Help” and “Easy Mistake” features put the emphasis on how to improve and what pitfalls to avoid
  • Geometry topics aligned to national and state educational standards
  • Practical examples throughout and an answer key with explanations make sure you understand the topics
  • Conversational writing style and informative IRL (In Real Life) and BTW (By the Way) sidebars
  • A special section for teachers with tips and strategies on teaching the material and content-specific links and resources
11.49 In Stock
Must Know High School Geometry, Second Edition

Must Know High School Geometry, Second Edition

Must Know High School Geometry, Second Edition

Must Know High School Geometry, Second Edition

eBook

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Overview

A unique and effective way to learn Geometry—updated with the latest instruction and review

Must Know High School Geometry provides a fresh approach to learning. As part of our Must Know series, this new edition makes sure what you really need to know is clear up-front. Rather than starting with goals to be met, chapters begin by telling you the most important concepts about the topic at hand—and then show you exactly how these concepts help you accomplish your goals.

Written by expert geometry educators, Must Know High School Geometry, Second Edition provides updated lesson content and useful examples to help clarify each topic. Every chapter closes with reinforcing exercises to get you the practice you need to gain confidence. New features to this edition focus on extra support and helping you avoid common mistakes. In the end, you get everything you need to build your geometry skills quickly and painlessly.

Features:

  • More than 250 practice questions that parallel what you will find in your classwork and on exams
  • Bonus app that includes 100+ flashcards to reinforce concepts
  • “Extra Help” and “Easy Mistake” features put the emphasis on how to improve and what pitfalls to avoid
  • Geometry topics aligned to national and state educational standards
  • Practical examples throughout and an answer key with explanations make sure you understand the topics
  • Conversational writing style and informative IRL (In Real Life) and BTW (By the Way) sidebars
  • A special section for teachers with tips and strategies on teaching the material and content-specific links and resources

Product Details

ISBN-13: 9781264286157
Publisher: McGraw Hill LLC
Publication date: 06/12/2022
Sold by: Barnes & Noble
Format: eBook
Pages: 496
Sales rank: 885,054
File size: 33 MB
Note: This product may take a few minutes to download.

About the Author

Allen Ma teaches high school geometry, algebra, pre-calculus, and trigonometry. He is a recipient of the Nassau County Long Island Math Teacher of the Year award.Amber Kuang teaches high school honors pre-calculus, honors calculus, algebra 2/trigonometry, geometry, and discrete math. She is a New York State Regent Exams review instructor.

Table of Contents

Introduction 1

The Flashcard App 4

1 Definitions 5

The Basics 6

Bisectors and Midpoints 7

Types of Angles 13

Reflexive, Substitution, and Transitive Properties 19

Addition and Subtraction Postulates 20

Exercises 22

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

Exercises 50

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

Exercises 87

4 Centers of a Traingle 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

Exercises 106

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

Exercises 132

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

Exercises 161

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

Exercises 186

8 Parallelograms 191

Rectangles 198

Rhombuses 200

Squares 202

Trapezoids 206

Median of a Trapezoid 209

Exercises 212

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

Exercises 242

10 Transformations 245

Reflections 246

Reflection Over the Y-Axis 246

Reflection Over the X-Axis 248

Reflection Over the Line y = x 248

Reflecting a Point Over Horizontal and Vertical Lines 249

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

Exercises 277

11 Circle Theorems Involving Angles 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

Exercises 300

12 Circumstance 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

Exercises 320

13 Volume of Three-Dimensional Shapes 323

Cones 324

Cylinders 326

Prisms 329

Square Pyramids 334

Spheres 336

From 2D to 3D 337

Exercises 343

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

Exercises 381

Answer Key 385

Teacher's Guide 477

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