symmetric figures

Question

. A student concludes that if a figure has two lines of symmetry, it also has rotation symmetry. How would you respond to this observation?

Answer 1

I would have them justify their answer by showing an example, then do it with many different shapes to see if it is always true.

It's not always true. A rectangle has rotational symmetry for 180*, but not 90*. A kite has two lines of symmetry but no rotational symmetry.

This method helps the student discover the answer for themselves.

Answer 2

Totally possible. Through how many degrees of rotation does the student state symmetry exists.