Topical Outline For Geometry Regents

Based upon the RegentsPrep web site and NYS Standards

1.  Geometric Relationships                Lines and Planes               Prisms, Pyramids, Cylinders, Cones, Spheres, Platonic Solids             Polygons - Interior and Exterior Angles   2.  Constructions             Constructions:  Copy, Bisect, Perpendicular, Parallel, Isosceles, Equilateral             Concurrence of Medians, Altitudes, Angle Bisectors, Perpendicular Bisectors   3.  Locus             The Basic Locus Theorems               Compound Loci       4.  Informal and Formal Proof  Why Study Proofs?             Logic - Negation, Conjunction, Disjunction, Conditional , Biconditional, Truth              Related Conditionals -- Converse, Inverse, Contrapositive              Writing a Proof - Direct Euclidean Proofs               Writing a Proof - Indirect Euclidean Proofs               Congruence of Triangles             Angles and Triangles              Isosceles Triangle Theorems              Triangle Inequality Theorems              Parallel Lines and Angles              Quadrilaterals               Mid-Segment (Mid-Line)of a Triangle             Similarity of Triangles             Mean Proportional in a Right Triangle             Pythagorean Theorem and Converse              Circles: Chords, Secants and Tangents              Circles:  Angles and Arcs               Circles:  Area of Sectors and Segments  A.  Notation   B. Vocabulary Resources                 C. Theorem/Properties                                         5.  Transformational Geometry           General "Transformation" Vocabulary for this Section            Symmetry - Line, Plane, Point, Rotational  - Intuitive              Reflections - Line, Point            Translations             Dilations and Similarity             Rotations            Review of Transformation Information            Compositions and Glide Reflections           Opening in a new window will be ...                Using the Graphing Calculator to Examine Reflections, Translations, Dilations *           Using the Graphing Calculator to Examine Rotations     6.  Coordinate Geometry            Slopes and Equations of Lines             Midpoint of a Line Segment             Distance Formula             Direct Analytic Proofs (Coordinate Geometry Proofs)             Linear - Quadratic Systems            Circles