Question

if a figure has 90° rotational symmetry, what other symmetries must it have?

the figure must also have the following rotational symmetry(ies)
(do not include the degree symbol in your answer. use a comma to separate answers as needed.)

Explanation:

Step1: Recall Rotational Symmetry

A figure with \(90^\circ\) rotational symmetry means rotating it by \(90^\circ\) maps it onto itself.

Step2: Determine Other Rotations

If rotating by \(90^\circ\) works, rotating by \(2\times90 = 180^\circ\) and \(3\times90=270^\circ\) (and \(4\times90 = 360^\circ\), but \(360^\circ\) is trivial) should also map it onto itself. So the other rotational symmetries are \(180, 270\).

Answer:

180, 270