Question

What type(s) of symmetry does this figure have?

Answer 1

Answer: The answer is both rotational and reflection symmetry.

Step-by-step explanation:  We are given to find the types of symmetry that the given figure has.

We can say by looking at the figure that it is a square.

Since a square has both rotational and reflection symmetries, so the given figure will have rotational and reflection symmetries.

We see that when the given figure is rotated through an angle of 90°, 180° and 270°, then the rotated figures will coincide with the original one.

These are the rotational symmetries.

Also, when the figure is reflected about the lines 'l', 'm', 'n' and 'o' drawn in the attached figure, then the reflected figures will coincide with the original one.

These are the reflection symmetries.

Thus, the given figure has both rotational and reflection symmetries.

Answer 2

It's for sure reflection symmetry, I think it's also point reflection (the point must be in the very middle of the figure). I hope it will help you somehow :)