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Brilliant

Geometric Thinking

via Brilliant

Overview

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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.

Syllabus

  • Visual Reasoning
    • Polygon Fundamentals
      • Angle Fundamentals
        • Focusing on Triangles
          • Composite Figures
            • Regular Polygons
              • Figures Inscribed in Circles
                • Secants and Tangents
                  • Triangles and Their Cevians
                    • Triangle Centers
                      • Mixed Topic Problem-Solving
                        • A Taste of Beautiful Geometry
                          • Tiles and Reptiles
                            • Polyomino Tiling
                              • Mathematical Origami
                                • Polygon Guarding Strategies
                                  • Pegboard Geometry

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