Geometry Regents Exam June 2010 Questions

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
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 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