Write a translation rule that maps point D(7,-3) onto point D'(2,5)

Question

Thand you for answering. Please also include the steps you used to get your answer so I can learn from what you did!! 

Answer 1

Here is a general rule you can use for translation.

 

P_translation = < (P'_x - P_x) , (P'_y - P_y) >

 

 

where:

P = original point

P' = translated point

P_translation = translation

Answer 2

D(7,-3)

D'(2,5)

 

Let's look at the x-coordinates, paying attention to signs:

Dx=7 at the start point, D'x=2 at translated point.

Ask yourself what relation is needed to operate on 7 to get 2?

We must subtract 5.

 

Let's look at the y-coordinates, paying attention to the sign:

Dy=-3 at the start point, D'y=5 at translated point.

Ask yourself what relation is needed to operate on -3 to get 5?

We must add 8.

 

Now take both equation and rewrite as an ordered pair:

(x-5, y+8)...applicable only to all points in a figure "sliding" in

                  same direction.