For each of the following, determine if it is a rigid motion of E2. Prove your assertion: 4 3 a. f(x, y) = (x y + 1, x + y + 2) 5 5 y + 2 x + y + 1) b. f(x, y) = (x - 5y Let f be the function from part 1 which is a rigid motion. Define: 1 = {(x, y)|x y = 20} and q = {(x, y)|(x - 5) + (y + 5) = 25}. a. Find the fixed points of f if there are any. b. Find f-. c. f[l] d. f[q]