Foundational Math · Level 3
Measurement
Start exploring geometry with an intuitive introduction to the essentials.
Angles in Polygons
Exterior and Interior Angles
Polygon Angle Relationships
Angles Made by Lines
Parallel Lines
Triangle Sides and Angles
Perimeters
Circumference
Arc Length
Scaling Shapes
Scaling Lengths
Reasoning About Area
Polygon Areas
Circle Areas
Scaling Areas
The Pythagorean Theorem
Using the Pythagorean Theorem
Squares and Roots
Special Right Triangles
Applications
Surface Area
Surface Area Shortcut
Pyramids and Cones
Volume
Pyramids and Cones
Course description
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.
Topics covered
- Angle Axioms
- Measuring Areas
- Parallel and Perpendicular Lines
- Perimeter
- Similarity
- Surface Area
- The Pythagorean Theorem
- Three-Dimensional Figures
- Volume
Prerequisites and next steps
You should have a basic understanding of algebra concepts covered in Solving Equations.
Prerequisites
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