Geometry

Start exploring geometry with an intuitive introduction to the essentials.

Level

1

Angles in Polygons

Exterior and Interior Angles

Polygon Angle Relationships

Level

2

Angles Made by Lines

Parallel Lines

Triangle Sides and Angles

Level

3

Perimeters

Circumference

Arc Length

Level

4

Scaling Shapes

Scaling Lengths

Level

5

Reasoning About Area

Polygon Areas

Circle Areas

Scaling Areas

Level

6

The Pythagorean Theorem

Pythagorean Triples

Squares and Roots

Special Right Triangles

Applications

Level

7

Surface Area

Surface Area Shortcut

Pyramids and Cones

Level

8

Volume

Pyramids and Cones

Level

9

Defining Angles

Trigonometric Ratios

The Unit Circle

Level

10

Solving Right Triangles

Solving for Angles

Law of Cosines

Law of Sines

Ambiguous Cases

Level

11

Trigonometry Graphs

Other Trigonometric Graphs

Trigonometric Graph Problem Solving

Trigonometric Graph Symmetry

Inverse Trigonometry

Level

12

Polar Coordinates

Roses, Cardioids and Limaçon

Function Transformations

Level

13

Reciprocal and Quotient Identities

Triangle Identities

Sum and Difference Identities

Double- and Half-Angle Identities


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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Foundational Math

Functions

Supercharge your thinking with the language of algebra.

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