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)