I have a question with regards to develop a transformation matrix

between 2 sets of data.

set 1:

A = 53.45 , 54.5

B = 45 , 51.95

C = 46.4 , 45.75

Set 2

A = -4.1041 , 1.0457

B = 4.7046 , 0.812

C = 5.0025 , -5.5006

By using the transformation matrix derived using the 3 different coordinates found in set 1, i should be able to map point D from (55.9 , 48.25 ) to (-4.8006 , -5.6333) at a certainly of accuracy. The points A,B,C should be mapped from SET 1 to SET 2 exactly with point D transformed at a certain accuracy.

the problem here is, i am not able to determine the sequence of transformations that took place i.e. translation or rotation or scaling etc.

thank you so much if there is any kind soul to help me to give me some hints to slve it. thanks!