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

Answer:

(13,-23)

Step-by-step 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).