1. The problem statement, all variables and given/known data Definition: let R be an equivalence relation on a set X. A subset of X containing exactly one element from each equivalence class is called a complete set of representatives. now define a relation R on RxR by (x,y)R(u,v) <---> x^2 + y^2 = u^2 + v^2. You don't have to prove that R is an equivalence relation. Find a complete set of representatives. Carefully justify the answer. 2. Relevant equations none 3. The attempt at a solution I am not sure where to go with this. I know that x^2+y^2 is a circle. I am working with a few other people and this is all we could come up with!