Write a translation rule that maps point D(7, -3) onto point D'(2, 5).
(x,y) -> (x-5,y+8)
To find the translation rule that maps point D(7, -3) onto point D'(2, 5), we need to determine the horizontal and vertical shifts.
Horizontal shift: To find the horizontal shift, subtract the x-coordinate of point D' from the x-coordinate of point D.
Horizontal shift = 2 - 7 = -5
Vertical shift: To find the vertical shift, subtract the y-coordinate of point D' from the y-coordinate of point D.
Vertical shift = 5 - (-3) = 8
Therefore, the translation rule that maps point D(7, -3) onto point D'(2, 5) is:
Translate left 5 units and up 8 units.
To write a translation rule that maps point D(7, -3) onto point D'(2, 5), we need to find the horizontal and vertical shifts needed to move D to D'.
To find the horizontal shift, we subtract the x-coordinate of D' from the x-coordinate of D:
Δx = x-coordinate of D' - x-coordinate of D
Δx = 2 - 7 = -5
To find the vertical shift, we subtract the y-coordinate of D' from the y-coordinate of D:
Δy = y-coordinate of D' - y-coordinate of D
Δy = 5 - (-3) = 8
Therefore, the translation rule is:
T(x, y) = (x - 5, y + 8)
Using this rule, if you apply the translation to point D (7, -3), you should get the coordinates of D' (2, 5).