What single rigid transformation maps abc onto a'bc'?

We are asked to determine a rigid single rigid transformation that maps ΔABC to ΔA'B'C'. Well, we know that rigid transformation preserves the angles and measurements of the sides in the triangle. It is the mapping of all angles and measurements in the same direction and properties. Hence, in this problem, we have the triangle properties below:
Δ ABC = Δ A'B'C
where the properties are:
AA' = BB' = CC' 
AB is equal to A'B'
BC is equal to B'C'
CA is equal to C'A'
for the angles, we have it:
∠A = ∠A' , ∠B=∠B' , ∠C=∠C'