To find the new coordinates of point C' after the translation of rectangle ABDC, we first need to identify the coordinates of point C.
Given:
- A = (5, 4)
- B = (-1, 4)
- C = (-5, 1)
- D = (-1, 1)
The translation consists of moving horizontally by -4 (which means subtracting 4 from the x-coordinate) and vertically by +3 (which means adding 3 to the y-coordinate).
Starting with point C:
- Original coordinates of C = (-5, 1)
Now, apply the translation:
- New x-coordinate = -5 - 4 = -9
- New y-coordinate = 1 + 3 = 4
So the coordinates of C' after the translation will be: C' = (-9, 4)
Therefore, the coordinates of C' are (-9, 4).