Triangle A A\,A has vertices at (1,1)(1, 1)(1,1), (1,3)(1, 3)(1,3) and (2,1)(2, 1)(2,1). Triangle B B\,B has vertices at (1,−1)(1, -1)(1,−1), (3,−1)(3, -1)(3,−1) and (1,−2)(1, -2)(1,−2).
Describe fully the single transformation that maps triangle A A\,A on triangle BBB.