Let's determine the type of transformation that would make triangle C'A'T' not congruent to CAT.
In transformation of figures, there are two types of transformations which are:
Rigid transformations and non-rigid transformations.
In rigid transformations, the size and the shape of the preimage remains the same
In non-rigid transformations, the shape of the image remains the same while there is a chnage in size.
For triangle C'A'T' not to be congruent to the preimage CAT, the type of transformation that occured here is a dilation
In the other forms of translation listed here (reflection, translation, and rotation), the size and the shape of the original figure remains the same.
Therefore, the transformation that would make the image of △C'A'T' not to be congruent to the preimage CAT is dilation with a scale factor of 2 centered at the origin.
ANSWER:
(4) Dilation with a scale factor of 2 centered at the origin