{"product_id":"geometry-essentials-for-dummies-isbn-9781119590446","title":"Geometry Essentials For Dummies","description":"\u003cp\u003e\u003ci\u003eGeometry Essentials For Dummies\u003c\/i\u003e (9781119590446) was previously published as \u003ci\u003eGeometry Essentials For Dummies \u003c\/i\u003e(9781118068755). While this version features a new \u003ci\u003eDummies\u003c\/i\u003e cover and design, the content is the same as the prior release and should not be considered a new or updated product.\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003eJust the critical concepts you need to score high in geometry\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eThis practical, friendly guide focuses on critical concepts taught in a typical geometry course, from the properties of triangles, parallelograms, circles, and cylinders, to the skills and strategies you need to write geometry proofs. Geometry Essentials For Dummies is perfect for cramming or doing homework, or as a reference for parents helping kids study for exams.\u003c\/p\u003e \u003cul\u003e \u003cli\u003eGet down to the basics — get a handle on the basics of geometry, from lines, segments, and angles, to vertices, altitudes, and diagonals\u003c\/li\u003e \u003cli\u003eConquer proofs with confidence — follow easy-to-grasp instructions for understanding the components of a formal geometry proof\u003c\/li\u003e \u003cli\u003eTake triangles in strides — learn how to take in a triangle's sides, analyze its angles, work through an SAS proof, and apply the Pythagorean Theorem\u003c\/li\u003e \u003cli\u003ePolish up on polygons — get the lowdown on quadrilaterals and other polygons: their angles, areas, properties, perimeters, and much more\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003cb\u003eIntroduction 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eAbout This Book 1\u003c\/p\u003e \u003cp\u003eConventions Used in This Book 2\u003c\/p\u003e \u003cp\u003eFoolish Assumptions 2\u003c\/p\u003e \u003cp\u003eIcons Used in This Book 3\u003c\/p\u003e \u003cp\u003eWhere to Go from Here 3\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 1: An Overview of Geometry\u003c\/b\u003e\u003cb\u003e 5\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eThe Geometry of Shapes 6\u003c\/p\u003e \u003cp\u003eOne-dimensional shapes 6\u003c\/p\u003e \u003cp\u003eTwo-dimensional shapes 6\u003c\/p\u003e \u003cp\u003eThree-dimensional shapes 6\u003c\/p\u003e \u003cp\u003eGeometry Proofs 6\u003c\/p\u003e \u003cp\u003eAm I Ever Going to Use This? 7\u003c\/p\u003e \u003cp\u003eWhen you’ll use your knowledge of shapes 7\u003c\/p\u003e \u003cp\u003eWhen you’ll use your knowledge of proofs 8\u003c\/p\u003e \u003cp\u003eGetting Down with Definitions 9\u003c\/p\u003e \u003cp\u003eA Few Points on Points 11\u003c\/p\u003e \u003cp\u003eLines, Segments, and Rays 12\u003c\/p\u003e \u003cp\u003eHorizontal and vertical lines 12\u003c\/p\u003e \u003cp\u003eDoubling up with pairs of lines 13\u003c\/p\u003e \u003cp\u003eInvestigating the Plane Facts 14\u003c\/p\u003e \u003cp\u003eEverybody’s Got an Angle 14\u003c\/p\u003e \u003cp\u003eFive types of angles 15\u003c\/p\u003e \u003cp\u003eAngle pairs 16\u003c\/p\u003e \u003cp\u003eBisection and Trisection 18\u003c\/p\u003e \u003cp\u003eSegments 18\u003c\/p\u003e \u003cp\u003eAngles 18\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 2: Geometry Proof Starter Kit\u003c\/b\u003e\u003cb\u003e 21\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eThe Lay of the (Proof) Land 21\u003c\/p\u003e \u003cp\u003eReasoning with If-Then Logic 23\u003c\/p\u003e \u003cp\u003eIf-then chains of logic 24\u003c\/p\u003e \u003cp\u003eDefinitions, theorems, and postulates 25\u003c\/p\u003e \u003cp\u003eBubble logic 26\u003c\/p\u003e \u003cp\u003eComplementary and Supplementary Angles 27\u003c\/p\u003e \u003cp\u003eAddition and Subtraction 29\u003c\/p\u003e \u003cp\u003eAddition theorems 29\u003c\/p\u003e \u003cp\u003eSubtraction theorems 33\u003c\/p\u003e \u003cp\u003eLike Multiples and Like Divisions 34\u003c\/p\u003e \u003cp\u003eCongruent Vertical Angles 36\u003c\/p\u003e \u003cp\u003eTransitivity and Substitution 37\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 3: Tackling a Longer Proof\u003c\/b\u003e\u003cb\u003e 41\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eMaking a Game Plan 42\u003c\/p\u003e \u003cp\u003eUsing All the Givens 42\u003c\/p\u003e \u003cp\u003eUsing If-Then Logic 43\u003c\/p\u003e \u003cp\u003eChipping Away at the Problem 45\u003c\/p\u003e \u003cp\u003eWorking Backward 47\u003c\/p\u003e \u003cp\u003eFilling in the Gaps 49\u003c\/p\u003e \u003cp\u003eWriting out the Finished Proof 49\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 4: Triangle Fundamentals\u003c\/b\u003e\u003cb\u003e 51\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eTaking in a Triangle’s Sides 51\u003c\/p\u003e \u003cp\u003eScalene triangles 52\u003c\/p\u003e \u003cp\u003eIsosceles triangles 52\u003c\/p\u003e \u003cp\u003eEquilateral triangles 52\u003c\/p\u003e \u003cp\u003eTriangle Classification by Angles 52\u003c\/p\u003e \u003cp\u003eThe Triangle Inequality Principle 53\u003c\/p\u003e \u003cp\u003eSizing up Triangle Area 54\u003c\/p\u003e \u003cp\u003eA triangle’s altitude or height 54\u003c\/p\u003e \u003cp\u003eDetermining a triangle’s area 56\u003c\/p\u003e \u003cp\u003eRegarding Right Triangles 57\u003c\/p\u003e \u003cp\u003eThe Pythagorean Theorem 58\u003c\/p\u003e \u003cp\u003ePythagorean Triple Triangles 60\u003c\/p\u003e \u003cp\u003eThe Fab Four triangles 61\u003c\/p\u003e \u003cp\u003eFamilies of Pythagorean triple triangles 61\u003c\/p\u003e \u003cp\u003eTwo Special Right Triangles 64\u003c\/p\u003e \u003cp\u003eThe 45 - 45 - 90 triangle 64\u003c\/p\u003e \u003cp\u003eThe 30 - 60 - 90 triangle 66\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 5: Congruent Triangle Proofs\u003c\/b\u003e\u003cb\u003e 69\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eProving Triangles Congruent 69\u003c\/p\u003e \u003cp\u003eSSS: The side-side-side method 70\u003c\/p\u003e \u003cp\u003eSAS: Side-angle-side 72\u003c\/p\u003e \u003cp\u003eASA: The angle-side-angle tack 74\u003c\/p\u003e \u003cp\u003eAAS: Angle-angle-side 74\u003c\/p\u003e \u003cp\u003eLast but not least: HLR 75\u003c\/p\u003e \u003cp\u003eTaking the Next Step with CPCTC 75\u003c\/p\u003e \u003cp\u003eDefining CPCTC 76\u003c\/p\u003e \u003cp\u003eTackling a CPCTC proof 76\u003c\/p\u003e \u003cp\u003eThe Isosceles Triangle Theorems 79\u003c\/p\u003e \u003cp\u003eThe Two Equidistance Theorems 81\u003c\/p\u003e \u003cp\u003eDetermining a perpendicular bisector 81\u003c\/p\u003e \u003cp\u003eUsing a perpendicular bisector 83\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 6: Quadrilaterals\u003c\/b\u003e\u003cb\u003e 85\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eParallel Line Properties 85\u003c\/p\u003e \u003cp\u003eParallel lines with a transversal 85\u003c\/p\u003e \u003cp\u003eThe transversal theorems 87\u003c\/p\u003e \u003cp\u003eThe Seven Special Quadrilaterals 89\u003c\/p\u003e \u003cp\u003eWorking with Auxiliary Lines 90\u003c\/p\u003e \u003cp\u003eThe Properties of Quadrilaterals 93\u003c\/p\u003e \u003cp\u003eProperties of the parallelogram 93\u003c\/p\u003e \u003cp\u003eProperties of the three special parallelograms 95\u003c\/p\u003e \u003cp\u003eProperties of the kite 98\u003c\/p\u003e \u003cp\u003eProperties of the trapezoid and the isosceles trapezoid 99\u003c\/p\u003e \u003cp\u003eProving That You’ve Got a Particular Quadrilateral 100\u003c\/p\u003e \u003cp\u003eProving you’ve got a parallelogram 100\u003c\/p\u003e \u003cp\u003eProving that you’ve got a rectangle, rhombus, or square 103\u003c\/p\u003e \u003cp\u003eProving that you’ve got a kite 104\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 7: Polygon Formulas\u003c\/b\u003e\u003cb\u003e 107\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eThe Area of Quadrilaterals 107\u003c\/p\u003e \u003cp\u003eQuadrilateral area formulas 108\u003c\/p\u003e \u003cp\u003eWhy the formulas work 108\u003c\/p\u003e \u003cp\u003eTrying a few area problems 110\u003c\/p\u003e \u003cp\u003eThe Area of Regular Polygons 113\u003c\/p\u003e \u003cp\u003eThe polygon area formulas 114\u003c\/p\u003e \u003cp\u003eTackling an area problem 114\u003c\/p\u003e \u003cp\u003eAngle and Diagonal Formulas 115\u003c\/p\u003e \u003cp\u003eInterior and exterior angles 116\u003c\/p\u003e \u003cp\u003eA polygon angle problem 117\u003c\/p\u003e \u003cp\u003eCriss-crossing with diagonals 118\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 8: Similarity\u003c\/b\u003e\u003cb\u003e 119\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eSimilar Figures 119\u003c\/p\u003e \u003cp\u003eDefining similar polygons 119\u003c\/p\u003e \u003cp\u003eHow similar figures line up 121\u003c\/p\u003e \u003cp\u003eSolving a similarity problem 122\u003c\/p\u003e \u003cp\u003eProving Triangles Similar 124\u003c\/p\u003e \u003cp\u003eTackling an AA proof 125\u003c\/p\u003e \u003cp\u003eUsing SSS~ 126\u003c\/p\u003e \u003cp\u003eAn SAS~ proof 127\u003c\/p\u003e \u003cp\u003eSplitting Right Triangles with the Altitude-on-Hypotenuse Theorem 128\u003c\/p\u003e \u003cp\u003eMore Proportionality Theorems 130\u003c\/p\u003e \u003cp\u003eThe Side-Splitter Theorem 130\u003c\/p\u003e \u003cp\u003eThe Angle-Bisector Theorem 132\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 9: Circle Basics\u003c\/b\u003e\u003cb\u003e 135\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eRadii, Chords, and Diameters 135\u003c\/p\u003e \u003cp\u003eFive circle theorems 136\u003c\/p\u003e \u003cp\u003eUsing extra radii 136\u003c\/p\u003e \u003cp\u003eArcs and Central Angles 138\u003c\/p\u003e \u003cp\u003eTangents 138\u003c\/p\u003e \u003cp\u003eThe Pizza Slice Formulas 140\u003c\/p\u003e \u003cp\u003eDetermining arc length 140\u003c\/p\u003e \u003cp\u003eSector and segment area 141\u003c\/p\u003e \u003cp\u003eThe Angle-Arc Formulas 143\u003c\/p\u003e \u003cp\u003eAngles on a circle 144\u003c\/p\u003e \u003cp\u003eAngles inside a circle 144\u003c\/p\u003e \u003cp\u003eAngles outside a circle 145\u003c\/p\u003e \u003cp\u003eKeeping the formulas straight 146\u003c\/p\u003e \u003cp\u003eThe Power Theorems 147\u003c\/p\u003e \u003cp\u003eThe Chord-Chord Theorem 148\u003c\/p\u003e \u003cp\u003eThe Tangent-Secant Theorem 149\u003c\/p\u003e \u003cp\u003eThe Secant-Secant Theorem 149\u003c\/p\u003e \u003cp\u003eCondensing the power theorems into a single idea 150\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 10: 3-D Geometry\u003c\/b\u003e\u003cb\u003e 151\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eFlat-Top Figures 151\u003c\/p\u003e \u003cp\u003ePointy-Top Figures 154\u003c\/p\u003e \u003cp\u003eSpheres 159\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 11: Coordinate Geometry\u003c\/b\u003e\u003cb\u003e 161\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eThe Coordinate Plane 161\u003c\/p\u003e \u003cp\u003eSlope, Distance, and Midpoint 162\u003c\/p\u003e \u003cp\u003eThe slope dope 162\u003c\/p\u003e \u003cp\u003eThe distance formula 164\u003c\/p\u003e \u003cp\u003eThe midpoint formula 165\u003c\/p\u003e \u003cp\u003eTrying out the formulas 166\u003c\/p\u003e \u003cp\u003eEquations for Lines and Circles 167\u003c\/p\u003e \u003cp\u003eLine equations 168\u003c\/p\u003e \u003cp\u003eThe circle equation 168\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 12: Ten Big Reasons to Use in Proofs\u003c\/b\u003e\u003cb\u003e 171\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eThe Reflexive Property 171\u003c\/p\u003e \u003cp\u003eVertical Angles are Congruent 171\u003c\/p\u003e \u003cp\u003eThe Parallel-Line Theorems 172\u003c\/p\u003e \u003cp\u003eTwo Points Determine a Line 172\u003c\/p\u003e \u003cp\u003eAll Radii are Congruent 173\u003c\/p\u003e \u003cp\u003eIf Sides, Then Angles 173\u003c\/p\u003e \u003cp\u003eIf Angles, Then Sides 173\u003c\/p\u003e \u003cp\u003eTriangle Congruence 173\u003c\/p\u003e \u003cp\u003eCPCTC 174\u003c\/p\u003e \u003cp\u003eTriangle Similarity 174\u003c\/p\u003e \u003cp\u003eIndex 175\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eMark Ryan\u003c\/b\u003e is the owner of The Math Center in the Chicago area, where he teaches students in all levels of mathematics, from pre-algebra to calculus. He is the author of \u003ci\u003eCalculus For Dummies and Geometry For Dummies.\u003c\/i\u003e   \u003c\/p\u003e\u003cul\u003e \u003cli\u003eCritical theorems for geometry proofs\u003c\/li\u003e \u003cli\u003eThe principles and formulas you need to know\u003c\/li\u003e \u003cli\u003eKey concepts in quick, focused lessons\u003c\/li\u003e\t \u003c\/ul\u003e \u003cp\u003e\u003cb\u003eAll you need to get in shape for geometry\u003c\/b\u003e  \u003c\/p\u003e\u003cp\u003eThis practical, friendly guide focuses on critical concepts taught in a typical geometry course. Get a handle on the basics — from lines, segments, and angles to vertices, altitudes, and diagonals. Learn the properties of triangles, parallelograms, circles, and cylinders. Master the skills and strategies you need to write geometry proofs. \u003ci\u003eGeometry Essentials For Dummies\u003c\/i\u003e is perfect for cramming, doing homework, or as a reference for parents helping kids study for exams. \u003c\/p\u003e\u003cp\u003e\u003cb\u003eInside...\u003c\/b\u003e \u003c\/p\u003e\u003cul\u003e \u003cli\u003eCommon geometry terms\u003c\/li\u003e \u003cli\u003eTips for tackling geometry proofs\u003c\/li\u003e \u003cli\u003eThe quadrilateral family\u003c\/li\u003e \u003cli\u003eStraight talk on circles\u003c\/li\u003e \u003cli\u003eEssential triangle formulas\u003c\/li\u003e \u003cli\u003eSpheres, cylinders, prisms,  and pyramids\u003c\/li\u003e \u003c\/ul\u003e","brand":"For Dummies","offers":[{"title":"Default Title","offer_id":47989283520741,"sku":"NP9781119590446","price":11.99,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9781119590446.jpg?v=1761783510","url":"https:\/\/k12savings.com\/products\/geometry-essentials-for-dummies-isbn-9781119590446","provider":"K12savings","version":"1.0","type":"link"}