A regular pentagon is cut out of a flat piece of cardboard. The pentagon is then placed back into the pentagonal hole. How many ways can the pentagon be placed back into the hole, if the pentagon can be rotated and/or reflected?

I know that it can be reflected 5 ways... but I don't get how many times it can be rotated. I thought I would be either 20 or 25, but no. Can anybody help with this problem? Thanks!

Guest Feb 20, 2021

#1**0 **

A pentagon can be rotated 5 ways and still have it look the same. I hope this helps. I myself still am not sure of the solution yet.

CubeyThePenguin Feb 20, 2021