Lesson 9 · Symmetry and Tessellation

Symmetry

MathematicsSubject
14 minEstimated read
1What is a line of symmetry, and what is the most reliable way to find one?
2Explain what the order of rotational symmetry means, and why order 1 is said to be no rotational symmetry.
3Use the parallelogram and the kite to show that line symmetry and rotational symmetry are independent.
4How many lines of symmetry and what order of rotational symmetry does a regular polygon with n sides have? Explain why.
5Why is symmetry useful in practice, beyond making things look attractive?