Why is there screeching when I go in reverse (brakes applied or not)? on 2009 Mitsubishi Galant

My car makes a very loud screeching noise only in reverse all the time, brakes applied or not. I have checked the rotors and they seem fine. This is getting very irritating and would like to find the problem so I can fix it!

Thank you, Brett

Asked by for the 2009 Mitsubishi Galant
Had this happen on a 1993 Eagle Talon. Was the front low brake pad "wiget" rubbing on rotor. Replaced brake pads and sound in reverse disappeared. Might help. (Talon is cousin to Eclipse made by Mitsubishi)