Final answer:
Without exact coordinates for the quadrilaterals ABCD and A'B'C'D' or a visual representation of their positions, it is not feasible to determine the specific translation. The reference to vector addition aligns with the concept of translation in geometry, but without more detail, we cannot provide an accurate response.
Step-by-step explanation:
To determine the translation for quadrilateral A'B'C'D' as the image of quadrilateral ABCD under the given transformation, we need to understand what each option implies in terms of direction and magnitude. Options A) and B) suggest movements that are combinations of left or right along with up or down. Option C) involves a movement strictly to the right and down, and option D) involves rightward and upward movements. We need more information about the coordinates of the original and transformed quadrilaterals to give a conclusive answer about the translation that relates them.
Without specific coordinates for the quadrilaterals or a figure showing their positions, we cannot confidently determine the translation. The reference provided is about vector addition and displacement, which is closely related to the concept of translation in geometry. However, without clear coordinates or a diagram illustrating ABCD and A'B'C'D', it is not possible to ascertain the correct transformation among the choices given.