1. Angles and Intersecting Lines

    1. Angle Basics and Measurements
    2. Angles Between Intersecting and Parallel Lines
    3. Complementary and Supplementary Angles
    4. Angles with Triangles and Polygons

  2. Special Properties and Parts of Triangles

    1. Perpendicular Bisectors
    2. Angle Bisectors
    3. Altitudes
    4. Medians and Centroids

  3. Quadrilaterals

    1. Quadrilaterals

  4. Transformations

    1. Dilations or Scaling around a Point
    2. Properties and Definitions of Transformations
    3. Rotations
    4. Reflections
    5. Rigid Transformations

  5. Congruence

    1. Transformations and Congruence
    2. Triangle Congruence
    3. Theorems concerning Triangle Properties
    4. Theorems concerning Quadrilateral Properties
    5. Proofs

  6. Similarity

    1. Triangle Similarity
    2. Solving Similar Triangles
    3. Angle Bisector Theorem
    4. Solving Problems with Similar and Congruent Triangles
    5. Solving Modeling Problems with Similar and Congruent Triangles

  7. Circles

    1. Circle Arcs and Sectors
    2. Central, Inscribed, and Circumscribed Angles
    3. Equation of a Circle
    4. Area of Inscribed Triangle

  8. Right Triangles and Trig

    1. Pythagorean Theorem
    2. Pythagorean Theorem Proofs
    3. Special Right Triangles
    4. Sine, Cosine and Tangent Functions
    5. Trig Ratios and Similarity

  9. Perimeter, Area, and Volume

    1. Perimeter and Area of Triangle
    2. Triangle Inequality Theorem
    3. Heron's Formula
    4. Circumference and Area of Circles
    5. Perimeter and Area of Non-Standard Shapes
    6. Volume of Solids

  10. Analytic Geometry

    1. Geometry Problems on a Coordinate Plane
    2. Distance between Points
    3. Equations of Parallel and Perpendicular Lines

  11. Geometric Constructions

    1. Constructing Bisectors of Lines and Angles
    2. Constructing Regular Polygons Inscribed in Circles
    3. Constructing Circumcircles and Incircles
    4. Constructing a Line Tangent to a Circle