Write a translation rule that maps the point D(7, -3) onto point D'(2, 5)
looks like the x decreased by 5 and the y increased by 8, so
(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 difference between the x-coordinates and the y-coordinates of both points.
First, let's find the difference in the x-coordinate:
Δx = x'-x = 2 - 7 = -5
Next, we'll find the difference in the y-coordinate:
Δy = y'-y = 5 - (-3) = 8
So, the translation rule that maps point D onto point D' is:
(x, y) --> (x - 5, y + 8)
Therefore, for any point (x, y) on the original plane, applying this translation rule will give us the corresponding point on the new plane.
To find the translation rule that maps point D(7, -3) onto point D'(2, 5), you need to determine the horizontal and vertical shifts.
The horizontal shift is found by subtracting the x-coordinate of D from the x-coordinate of D'. In this case, it is 2 - 7 = -5.
The vertical shift is found by subtracting the y-coordinate of D from the y-coordinate of D'. In this case, it is 5 - (-3) = 8.
Therefore, the translation rule is (x, y) --> (x - 5, y + 8).
So, to map any point using this translation rule, you would subtract 5 from its x-coordinate and add 8 to its y-coordinate.