I. Geometry: The Study of Shapes
- What the… Geometry? Really?
- Definitions in Geometry
- Known Implication: Elements of the Proof
- Angles: Complementary and supplementary
- Transitive and Substitution Properties
- Starting on Both Ends of the Problem
II. Triangles
- Three Types of Triangles
- Drafting the Right Triangle
- Areas of Triangles
- Solutions for All Sides and Angles
- Knowing only 3 Elements
- The Centroid, Bisectors and Centers
- Pythagorean Theorem
III. Congruence and Proportionality
- When Equality isn’t an Exact Non-Carbon Copy
- Dissection by means of Interior Triangles
- Projections through Parallelization
- Transversals
IV. Quadrilateral Shapes
- The 7 Quadrilateral Shapes with Symmetry
- The Kite
- The Parallelogram
- The Trapezoid
- The Rhombus
- The Rectangle
- The Isosceles Trapezoid
- The Square
- Specific Properties of the Quadrilaterals
- Areas, Angles, and Diagonals
- Quadrilateral Proofs