Free Geometry Content

Basics of Geometry

  • Points, Lines, and Planes
  • Segments
  • Midpont Formula
  • Distance Formula
  • Perimeter and Area of Simple Figures
  • Measuring Angles
  • Angle Pairs

Reasoning and Proof

  • Conditional Statements
  • Inductive and Deductive Reasoning
  • Using Postulates and Diagrams
  • Algebraic Reasoning
  • Proving Statements About Segments and Angles
  • Proving Geometric Relationships

Parallel and Perpendicular Lines

  • Pairs of Lines and Angles
  • Parallel Lines and Transversals
  • Proofs with Parallel Lines
  • Proofs with Perpendicular Lines
  • Equations of Parallel and Perpendicular Lines


  • Translations
  • Reflections
  • Rotations
  • Congruence and Transformations
  • Dilations
  • Similarity




Congruent Triangles

  • Angles of Triangles
  • Congruent Polygons
  • Side Angle Side (SAS)
  • Equilateral and Isosceles
  • Side Side Side (SSS)
  • Angle Side Angle (ASA)
  • Angle Angle Side (AAS)
  • Using Congruent Triangles
  • Coordinate Proofs

Relationships Within Triangles

  • Perpendicular and Angle Bisectors
  • Bisectors of Triangles
  • Medians and Altitudes of Triangles 
  • The Triangle Midsegment Theorem
  • Indirect Proof and Inequalities in One Triangle
  • Inequalities in Two Triangles

Quadrilaterals and Other Polygons

  • Angles of Polygons
  • Properties of Parallelograms
  • Proofs with Parallelograms
  • Special Parallelograms
  • Trapezoids and Kites


  • Similar Polygons
  • Similarity via Angle Angle (AA)
  • Similarity via Side Side Side (SSS) and Side Angle Side (SAS)
  • Proportionality Theorems

Right Triangles and Pythagorean Theorem

  • Pythagorean Theorem
  • Special Right Triangles
  • Similar Right Triangles
  • Tangent Ratio
  • Sine and Cosine Ratios
  • Solving Right Triangles
  • Law of Sines and Cosines


  • Lines and Segments That Intersect Circles
  • Finding Arc Measures
  • Using Chords
  • Inscribed Angles and Polygons
  • Angle relationships in Circles
  • Segment Relationships in Circles
  • Circles in the Coordinate Plane

Circumference, Area, and Volume

  • Circumference and Arc Length
  • Areas of Circles and Sectors
  • Areas of Polygons
  • 3D Figures
  • Volumes of Prisms and Cylinders
  • Volumes of Pyramids
  • Surface Area and Volume of Cones
  • Surface Area and Volume of Spheres


  • Intro to Probability
  • Independent and Dependent
  • Two-way Tables
  • Disjoint and Overlapping Events
  • Permutations and Combinations
  • Binomial Distributions
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