To determine the coordinates of B' after applying the same translation to rectangle ABCD, we need to know the coordinates of point A and how point A' relates to point A before the translation.
However, without additional information about the original coordinates of points A, B, C, and D, or how the translation affects the rectangle, we can't directly determine the coordinates of B'.
Assuming the options represent potential translations, we can analyze:
- The translation vector would simply shift each point of the rectangle by the same amount.
- The original position of A (let’s say A = (x_A, y_A)) has transformed into A' = (-6, 8).
- We need the current coordinate of B before the translation to apply the same vector.
Since we do not have the initial coordinate data for point B or the translation vector, no conclusion can be drawn based purely on the given information.
If we assume translations keep proportions relative to one another in rectangles, but also require the coordinates of B or a clue about how A relates to it.
If you have the coordinates of points A and B before any translations or any other relevant information, please provide that to help determine the answer accurately. Without it, I can't ascertain which option among (3, 8), (-1, 6), (-2, 8), or (2, 4) is correct as the coordinate for B'.