To determine the coordinates of point B' after applying the same translation to rectangle ABDC that resulted in A' being at (−6, 8), we need to understand the translation vector used.
If A is the original point, and A' is the translated point, the translation vector can be determined by the difference between coordinates:
Translation vector = A' - A
Assuming the original coordinates of A were (x_A, y_A), then we find:
-6 = x_A + translation_x
8 = y_A + translation_y
To find B', we would need to know the original coordinates of B before the translation. If the coordinates of B are (x_B, y_B), then the new coordinates after translation will be:
B' = (x_B + translation_x, y_B + translation_y)
Without knowing the original coordinates of B, it is impossible to calculate B' specifically. If we assume that ABDC is a rectangle and A and B are points with predictable coordinates (like in a standard rectangle configuration), you could infer the coordinates based on the shape.
Here is an example scenario:
- If we hypothesize that A is at (2, 8) and B is directly to the right, say at (2, 8) on the top edge, we can find the translation vector assuming A was at (2, 8):
- Translation vector = (-6 - 2, 8 - 8) = (-8, 0)
In this case, B would be at (2, 8), and after applying the same translation, we would find B': B' = (2 - 8, 8) = (-6, 8).
But we still need the specific coordinates of B to provide an answer accurately. Please provide the coordinates of B or additional context to determine the translation more accurately. If you want to choose from the options you provided, we need those original positions or the context of where B is relative to A in the rectangle.
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