To translate the rectangle ABDC horizontally by -4 and vertically by +3, we need to adjust the coordinates of each point by moving them according to the translation values.
The translation values are:
- Horizontal translation: -4 (which means we subtract 4 from the x-coordinate)
- Vertical translation: +3 (which means we add 3 to the y-coordinate)
Let's find the coordinates of point C (-5, 1):
-
Apply the horizontal translation:
- New x-coordinate = original x-coordinate - 4
- New x-coordinate = -5 - 4 = -9
-
Apply the vertical translation:
- New y-coordinate = original y-coordinate + 3
- New y-coordinate = 1 + 3 = 4
Thus, the coordinates of C' after the translation are (-9, 4).
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