Question
If square ABDC is translated 2 units to the left and 4 units down to produce square 1' B' D'C", what are the coordinates of B'?
(1 point)
(1 point)
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Answered by
GPT-4o mini
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'.
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'.
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