Question

Square ABCD was translated using the rule (x, y) → (x – 4, y + 15) to form A'B'C'D'. What are the coordinates of point D in the pre-image if the coordinates of point D’ in the image are (9, –8)?

Answer 1

x = 9+4 = 13
y = -8 - 15 = - 23

D(13,-23)

Answer 2

(13,-23)

Explanation:

A sqaure ABCD was translated using the rule (x,y→(x-4,y+15) to form A'B'C'D'. Now the coordinates of point D in the iamge are (9,-8) therefore pre image of point D is

`x-4=9`

`x=9+4` (by using property when a number go form left to right side then sign changes of a number)

`x=13`( by using property of addition)

similarly, we find value of y

`y+15=-8`

`y=-8-15`

`y=-23`

hence, the coordinate of D in pre iamge is (13,-23).