Write a translation rule that maps point D(7,-3) onto point D'(2,5).
I though it told you left, right, up or down, how do I figure this out?
The translation rule is
T(Δx,Δ)(x,y)->(x+Δx, y+Δy) .......... (1)
Now we need to find Δx and Δy.
We know that
7+Δx=2
-3+Δy=5
Solve for Δx and Δy and substitute in the transformation rule (1)
To determine the translation rule that maps point D(7,-3) onto point D'(2,5), you need to find the horizontal (left or right) and vertical (up or down) shift between the two points.
Step 1: Find the horizontal shift
To calculate the horizontal shift, subtract the x-coordinate of point D'(2) from the x-coordinate of point D(7):
Horizontal shift = x-coordinate of D - x-coordinate of D'
= 7 - 2
= 5
Step 2: Find the vertical shift
To calculate the vertical shift, subtract the y-coordinate of point D'(5) from the y-coordinate of point D(-3):
Vertical shift = y-coordinate of D - y-coordinate of D'
= -3 - 5
= -8
Step 3: Write the translation rule
The translation rule is written as (horizontal shift, vertical shift). Therefore, the translation rule that maps point D(7,-3) onto point D'(2,5) is (5, -8).