Geometrical Relationships Constructions Locus Informal and Formal Proof Tranformational Geometry Coordinate Geometry Regents Exam Prep Web Site Regents Exam Prep Web Site

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Contact Person: Donna M. Roberts (donrob@twcny.rr.com)

 

NEW!!  Regents Practice Tests
Full-length exams, Interactive and/or Hardcopy

 

Each subtopic below contains a lesson page, an interactive student practice page, and a
teacher resource page.   Sections denoted with *  have graphing calculator and/or dynamic geometry references such as Geometer's Sketchpad or Cabri Jr.
1.  Geometric Relationships
               Lines and Planes  
            Prisms, Pyramids, Cylinders, Cones, Spheres, Platonic Solids *
            Polygons - Interior and Exterior Angles *
            Multiple Choice Practice - Topic: Geometric Relationships
 
2.  Constructions
            Constructions:  Copy, Bisect, Perpendicular, Parallel, Isosceles, Equilateral
            Concurrence of Medians, Altitudes, Angle Bisectors, Perpendicular Bisectors *
            Multiple Choice Practice - Topic: Constructions
 
 3.  Locus
            The Basic Locus Theorems  
            Compound Loci    
 
4.  Informal and Formal Proof 
            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
            Multiple Choice Practice - Topic: Triangles
            Multiple Choice Practice - Topic: Parallels and Quadrilaterals
            Multiple Choice Practice - Topic: Circles
                               
5.  Transformational Geometry                    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 *
         Multiple Choice Practice - Topic: Transformations
 

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
         Multiple Choice Practice - Topic: Coordinate Geometry 
    
          

 

Contact Person: Donna M. Roberts (donrob@twcny.rr.com)