فهرست مطالب :
Cover\nTitle Page\nCopyright Information\nDedication\nPreface\nChapter 1: The Tools of Geometry\n 1.1 The Building Blocks of Geometry\n 1.2 Basic Relationships Among Points, Lines, and Planes\n 1.3 Brief Review of Algebra Skills\nChapter 2: Angle and Segment Relationships\n 2.1 Basic Angle Relationships\n 2.2 Bisectors, Midpoint, and the Addition Postulate\n 2.3 Angles in Polygons\n 2.4 Parallel Lines\n 2.5 Angles and Sides in Triangles\nChapter 3: Constructions\n 3.1 Basic Constructions\n 3.2 Constructions that Build on the Basic Constructions\n 3.3 Points of Concurrency, Inscribed Figures, and Circumscribed Figures\nChapter 4: Introduction to Proofs\n 4.1 Structure and Strategy of Writing Proofs\n 4.2 Using Key Idea Midpoints, Bisectors, and Perpendicular Lines\n 4.3 Properties of Equality\n 4.4 Using Vertical Angles, Linear Pairs, and Complementary and Supplementary Angles\n 4.5 Using Parallel Lines\n 4.6 Using Triangle Relationships\nChapter 5: Transformations and Congruence\n 5.1 Rigid Motion and Similarity Transformations\n 5.2 Properties of Transformations\n 5.3 Transformations in the Coordinate Plane\n 5.4 Symmetry\n 5.5 Compositions of Rigid Motions\nChapter 6: Triangle Congruence\n 6.1 The Triangle Congruence Criterion\n 6.2 Proving Triangles Congruent\n 6.3 CPCTC\n 6.4 Proving Congruence by Transformations\nChapter 7: Geometry in the Coordinate Plane\n 7.1 Length, Distance, and Midpoint\n 7.2 Perimeter and Area Using Coordinates\n 7.3 Slope and Equations of Lines\n 7.4 Equations of Parallel and Perpendicular Lines\n 7.5 Equations of Lines and Transformations\n 7.6 The Circle\nChapter 8: Similar Figures and Trigonometry\n 8.1 Similar Figures\n 8.2 Proving Triangles Similar and Similarity Transformations\n 8.3 Similar Triangle Relationships\n 8.4 Right Triangle Trigonometry\nChapter 9: Parallelograms and Trapezoids\n 9.1 Parallelograms\n 9.2 Proofs with Parallelograms\n 9.3 Properties of Special Parallelograms\n 9.4 Trapezoids\n 9.5 Classifying Quadrilaterals and Proofs Involving Special Quadrilaterals\n 9.6 Parallelograms and Transformations\nChapter 10: Coordinate Geometry Proofs\n 10.1 Tools and Strategies of Coordinate Geometry Proofs\n 10.2 Parallelogram Proofs\n 10.3 Triangle Proofs\nChapter 11: Circles\n 11.1 Definitions, Arcs, and Angles in Circles\n 11.2 Congruent, Parallel, and Perpendicular Chords\n 11.3 Tangents\n 11.4 Angle-Arc Relationships with Chords, Tangents, and Secants\n 11.5 Segment Relationships in Intersecting Chords, Tangents, and Secants\n 11.6 Area, Circumference, and Arc Length\nChapter 12: Solids and Modeling\n 12.1 Prisms and Cylinders\n 12.2 Cones, Pyramids, and Spheres\n 12.3 Cross Sections and Solids of Revolution\n 12.4 Proving Volume and Area by Dissection, Limits, and Cavalieri’s Principle\n 12.5 Modeling and Design\nAnswers and Solutions to Practice Exercises\nGlossary of Geometry Terms\nSummary of Geometric Relationships and Formulas\nAbout the Exam\nAppendix I: The Geometry Learning Standards\nAppendix II: Practice and Test-Taking Tips\nJune 2018 Regents Exam\nCover\nTitle Page\nCopyright Information\nDedication\nPreface\nAbout the Exam\nTest-Taking Tips\nA Brief Review of Key Geometry Facts and Skills\n 1 Angle, Line, and Plane Relationships\n 2. Triangle Relationships\n 3 Constructions\n 4 Transformations\n 5 Triangle Congruence\n 6 Coordinate Geometry\n 7 Similar Figures\n 8 Trigonometry\n 9 Parallelograms\n 10 Coordinate Geometry Proofs\n 11 Circles\n 12 Solids\nGlossary of Geometry Terms\nRegents Examinations, Answers, and Self-Analysis Charts\n August 2017 Exam\n June 2018 Exam\n August 2018 Exam\n June 2019 Exam\n August 2019 Exam\nThe Geometry Learning Standards