Final answer:
Shape C and D can be congruent, similar, or both depending on the transformation applied.
Step-by-step explanation:
When a transformation is a translation, both shape C and D will remain congruent because a translation simply slides a shape in a certain direction without changing its size or shape.
When an enlargement is applied with a scale factor of 3, shape D will be similar to shape C because every length in shape D will be three times the length of the corresponding length in shape C.
When an enlargement is applied with a scale factor of 1/3, shape D will also be similar to shape C because every length in shape D will be one-third the length of the corresponding length in shape C.
When a rotation or a reflection is applied to shape C, shape D will be congruent to shape C because these transformations preserve both size and shape.