Can someone help me figure out if this figure has rotational symmetry?

Question

anonymous · Answer

And if it does, what is the angle of rotation?

anonymous · Answer

https://www.connexus.com/content/media/155394-2292008-50618-PM-1793198204.gif

anonymous · Answer

Here are the choices:

yes; 40°
yes; 60°
yes; 120°
no

phi · Answer

Can you turn it so it matches the original picture?  How much of a turn?

anonymous · Answer

That is the original picture. I'm having trouble figuring it out.

phi · Answer

Yes, now imagine turning it.  How far do you turn it to get it to match the original picture?

anonymous · Answer

40°?

phi · Answer

Ignore the degrees for the moment.  Sketch (a simplified drawing)  on a piece of paper, and turn it clockwise till it matches.  How far do you turn it?

anonymous · Answer

You would have to turn it four times for it match the original picture.

phi · Answer

Let's do a simple example.  |dw:1339164292421:dw|