Answer with explanation:
Coordinates of vertices of ΔABC are =A(1,-1), B(1,-4),C(4,-4)
Coordinates of vertices of ΔA'B'C' are =A'(1,5), B'(1,1),C(4,1)
Suppose, Preimage =ΔABC
Image =ΔA'B'C'
If you will find distance between two vertices of Both the triangles or length of sides of triangles
[tex]AB=3\\\\BC=3\\\\AC=\sqrt{(4-1)^2+(-4+1)^2}\\\\AC=\sqrt{18}\\\\AC=3\sqrt{2}\\\\A'B'=4\\\\B'C'=3\\\\A'C'=\sqrt{(4-1)^2+(1-5)^2}\\\\A'C'=\sqrt{9+16}\\\\A'C'=5[/tex]
Option C is most Appropriate.
Kadesha is not correct because the number of units between points A and B is different than those between points A' and B'.