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)?

a.(13, –23)
b.(5, 7)
c.(18, 1)
d.(–6, –4)

Option A : (13,-23)

Step-by-step explanation:

We are given that Square ABCD was translated

Translation rule :

Now we are given that after translation coordinates of D will be D'(9,-8)

So, we are required to find the pre-image .

Let coordinates of D be (x,y)

So, after translation x becomes 9

Using rule :

After translation y becomes -8

Using rule :

Thus coordinates of D = (x,y)=(13,-23)

Hence coordinates of point D in the pre-image is (13,-23)

answer: about 22.67

step-by-step explanation: