Geometry

Geometry follows Algebra I and its topics are found in SAT/ACT/Regent Exam questions. It is foundational to subsequent math subjects, such as Algebra II (Trigonometry + Precalculus) and Calculus. 

• Points, Lines, Angles

  • Basic Figures

  • Definitions and Postulates

• Deductive Reasoning

  • Using Deductive Reasoning

  • Theorems about Angles and Perpendicular Lines

• Parallel Lines & Planes

  • When Lines and Planes are Parallel

  • Applying Parallel Lines to Polygons

• Congruent Triangles

  • Corresponding Parts in Congruence

  • Some Theorems Based on Congruent Triangles

  • More About Proof in Geometry

• Quadrilaterals

  • Parallelograms

  • Special Quadrilaterals

• Inequalities in Geometry

  • Inequalities and Indirect Proofs

  • Inequalities in Triangles

• Similar Polygons

  • Ratio, Proportion and Similarity

  • Working with Similar Triangles

• Right Triangles

  • Right Angles

  • Trigonometry

• Circles

  • Tangents, Arcs and Chords

  • Angles and Segnments

• Constructions and Loci

  • Basic Constructions

  • More Constructions

  • Locus

• Areas of Plane Figures

  • Areas of Polygons

  • Circles, Similar Figures, and Geometric Probability

• Areas and Volumes of Solids

  • Important Solids

  • Similar Solids

• Coordinate Geometry

  • Geometry and Algebra

  • Lines and Coordinate Geometry Proofs

• Transformations

  • Some Basic Mappings

  • Composition and Symmetry