Dewey Decimal516
Table Of ContentCover Title Page Copyright Page Dedication Authors'' Acknowledgments Contents Introduction The Flashcard App 1 Definitions The Basics Bisectors and Midpoints Types of Angles Reflexive, Substitution, and Transitive Property Addition and Subtraction Postulate 2 Triangle Proofs Side-Side-Side Postulate for Proving Triangles Congruent Side-Angle-Side Postulate for Proving Triangles Congruent Angle-Side-Angle Postulate for Proving Triangles Congruent Angle-Angle-Side Postulate for Proving Triangles Congruent Why Is Side-Side-Angle Not a Postulate for Proving Triangles Congruent? Why Is Angle-Angle-Angle Not a Postulate for Proving Triangles Congruent? Hypotenuse-Leg Postulate for Proving Triangles Congruent Corresponding Parts of Congruent Triangles Are Congruent 3 Classifying Triangles Solving for the Angles in a Triangle Exterior Angle Theorem Classifying Triangles by Angle Measurements Isosceles, Equilateral, and Scalene Triangles Relationships of the Sides and Angles of Triangles Median, Altitude, and Angle Bisector 4 Centers of a Triangle Centroid of a Triangle The Incenter of a Triangle The Orthocenter of a Triangle The Circumcenter of a Triangle The Euler Line 5 Similarity Proportions in Similar Triangles Determining Whether Triangles Are Similar Perimeter and Area of Similar Triangles Parallel Lines Inside a Triangle Proportions of Similar Right Triangles Similar Triangle Proofs 6 Getting to Know Right Triangles The Pythagorean Theorem Pythagorean Triples Special Right Triangles Right Triangle Trigonometry Word Problems 7 Parallel Lines Alternate Interior Angles Corresponding Angles Alternate Exterior, Same-Side Interior, and Same-Side Exterior Angles Auxiliary Lines Proving That the Sum of the Angles of a Triangle Is 180° Determining If Lines Are Parallel 8 Parallelograms Rectangles Rhombuses Squares Trapezoids Median of a Trapezoid 9 Coordinate Geometry Distance Formula Using the Distance Formula to Classify Shapes Midpoint Formula Slope Formula Writing the Equations of Parallel and Perpendicular Lines Partitioning a Line Segment 10 Transformations Reflections Reflection Over the Y-Axis Reflection Over the X-Axis Reflection Over the Line y = x Reflecting a Point Over Horizontal and Vertical Lines Reflecting a Point Over an Oblique Line Finding the Equation for the Line of Reflection Point Reflections Rotations Summary of Rules for Rotations with the Center of Rotation at the Origin Rotation with Center of Rotation Not at the Origin Translations Dilation Dilations Not Centered at the Origin Composition of Transformations 11 Circle Theorems Involving Angles and Segments Definition of Terms Related to a Circle Lengths of Intersecting Chords Finding the Length of Secant Segments Length of Tangent-Secant Segments from an External Point Angles Associated with the Circle Central Angle Inscribed Angle Angle Formed by Two Intersecting Chords Exterior Angles of a Circle 12 Circumference and the Area of Circles Finding the Area of a Sector Finding the Length of the Arc of a Sector Standard Form of a Circle General Form of a Circle Graphing a Circle on the Coordinate Plane 13 Volume of Three-Dimensional Shapes Cones Cylinders Prisms Square Pyramids Spheres From 2D to 3D 14 Constructions Copying Segments and Angles Bisectors and Perpendicular and Parallel Lines Constructions Involving Perpendicular Lines Constructing Parallel Lines Construction Applications Constructing an Altitude and a Median Constructing a Square and Hexagon Inscribed in a Circle Constructing Transformations Answer Key
SynopsisThe new Must Know series is like a lightning bolt to the brain Developing a good grasp of geometry doesn't have to be a frustrating experience. This book offers a unique approach to self-study that makes it easier to build new geometry skills. Every school subject has must know ideas , or essential concepts, that lie behind it. This book will use that fact to help you learn in a unique way. Most study guides start a chapter with a set of goals, often leaving the starting point unclear. In Must Know High School Geometry , however, each chapter will immediately introduce you to the must know idea, or ideas, that lie behind the new geometry topic. As you learn these must know ideas, the book will show you how to apply that knowledge to solving geometry problems. Focused on the essential concepts of geometry, this accessible guide will help you develop a solid understanding of the subject quickly and painlessly. Clear explanations are accompanied by numerous examples and followed with more challenging aspects of geometry. Practical exercises close each chapter and will instill you with confidence in your growing geometry skills. Must Know High School Geometry features: *Each chapter begins with the must know ideas behind the new topic *Extensive examples illustrate these must know ideas *Students learn how to apply this new knowledge to problem solving *250 practical review questions instill confidence *IRL (In Real Life) sidebars present real-life examples of the subject at work in culture, science, and history *Special BTW (By the Way) sidebars provide study tips, exceptions to the rule, and issues students should pay extra attention to *Bonus app includes 100 flashcards to reinforce what students have learned, Publisher's Note: Products purchased from Third Party sellers are not guaranteed by the publisher for quality, authenticity, or access to any online entitlements included with the product. 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
LC Classification NumberQA445.M23 2019