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Brilliant

Geometry and Measurement

via Brilliant

Overview

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Discover how intuitive geometry can be when you keep your assumptions simple and use your own logic and reasoning to set up your calculations.

This fundamentals course will introduce you to angle axioms, perimeter and area calculation strategies, coordinate geometry, 3D geometry, and more. This is the course that you should begin with if you're just starting your exploration of geometry on Brilliant.

Some prior experience with algebra is assumed, but you're in good shape to start this course if you can plot points and linear equations on a coordinate plane and use a variable to describe the relationship between the side length of a square and its area.

And, by the end of this course, you’ll be a skilled geometric problem-solver, well practiced at everything from proving the Pythagorean theorem to mixing algebraic and geometric techniques together on the coordinate plane.

Syllabus

  • Polygons
    • Angles
      • Lengths
        • Scaling
          • Areas
            • Pythagoras' Geometry
              • Surface Area
                • Volume
                  • Trigonometry
                    • Measuring
                      • Cartesian Graphing
                        • Polar Graphing
                          • Identities

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