Triangle A A\,A has vertices at (1,2)(1, 2)(1,2), (1,4)(1, 4)(1,4) and (3,2)(3, 2)(3,2). Triangle B B\,B has vertices at (5,−1)(5, -1)(5,−1), (5,1)(5, 1)(5,1) and (7,−1)(7, -1)(7,−1).
Describe fully the single transformation that maps triangle A A\,A on triangle BBB.