Free course


Free statement of participation on completion

We all encounter symmetry in our everyday lives, in both natural and man-made structures. The mathematical concepts surrounding symmetry can be a bit more difficult to grasp. This free course, Symmetry, explains such concepts as direct and indirect symmetries, Cayley tables and groups through exercises, audio and video.

Course learning outcomes

After studying this course, you should be able to:

  • explain what is meant by a symmetry of a plane figure
  • specify symmetries of a bounded plane figure as rotations or reflections
  • describe some properties of the set of symmetries of a plane figure
  • explain the difference between direct and indirect symmetries
  • use a two-line symbol to represent a symmetry.

You can start this course right now without signing-up. Click on any of the course content sections below to start at any point in this course.
If you want to be able to track your progress, earn a free Statement of Participation, and access all course quizzes and activities, sign-up.

Course content