write a translation rule that maps point d(7 -3) onto point d'(2 5)

(x,y) -> (x-5,y+8)

shift left 5 and up 8

To find the translation rule that maps point D(7, -3) onto point D'(2, 5), we need to determine the shifts in the X-axis and Y-axis.

The shift in the X-axis (horizontal) can be found by subtracting the X-coordinate of D' from the X-coordinate of D:
Shift in X-axis = X-coordinate of D' - X-coordinate of D = 2 - 7 = -5

The shift in the Y-axis (vertical) can be found by subtracting the Y-coordinate of D' from the Y-coordinate of D:
Shift in Y-axis = Y-coordinate of D' - Y-coordinate of D = 5 - (-3) = 8

Therefore, the translation rule that maps point D(7, -3) onto point D'(2, 5) is:

Move left 5 units and up 8 units.