Geometric Thinking
Strengthen your geometric intuition and logical reasoning skills through problem solving.
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Bayesian Probability
Learn the math behind uncertainty — and how to get rid of it!
Course description
In this course, you'll solve delightful geometry puzzles and build a solid foundation of skills for problem-solving with angles, triangles, polygons, and circles. You'll learn how to come up with clever, creative solutions to tough challenges and explore a wide range of theorems. This course is the perfect place to start (or continue) your exploration of geometry if you know how to measure angles and calculate the areas of rectangles, circles, and triangles; and want to learn the next level of geometric problem-solving techniques. Additionally, this is a great course to take if you want to strengthen your geometric intuition in preparation for taking a geometry or design course in school. You'll also need to use a little bit of fundamentals-level algebra in this course, but nothing more advanced than two-variable equations, squares, and square roots.
Topics covered
- Angle Axioms
- Angle Hunting Shortcuts
- Composite Area
- Complementary Areas
- Curry's Paradox
- Invariant Areas
- Polygon Angles
- Regular Polygons
- Stellations
- The Triangle Inequality
- Triangle Congruence
- Triangle Similarity
- Centroid
- Circumcenter
- Cyclic Quadrilateral Theorem
- Euler's Line
- Incenter
- Inscribed Angles
- Intersecting Chord Theorem
- Intersecting Secants Theorem
- Intersecting Tangent Theorem
- Orthocenter
- Power of a Point Theorem