To determine the coordinates of point B' after the translation, we start with the original coordinates of point B in square ABDC.
Let’s assume point B has coordinates (x, y). When the square is translated 2 units to the left, the x-coordinate decreases by 2, and when it is translated 4 units down, the y-coordinate decreases by 4.
Therefore, the new coordinates for point B' after the translations would be:
- For the x-coordinate: \( x - 2 \)
- For the y-coordinate: \( y - 4 \)
Thus, the new coordinates of point B', denoted as (B'), would be: \[ B' = (x - 2, y - 4) \]
To provide an exact numerical answer, the initial coordinates of point B would need to be specified. However, the transformation will always follow this rule of translation. If you provide the original coordinates of point B, I can give you the exact coordinates for B'.