Respuesta :

Dilation involves changing the size of a shape

The coordinates of S' and T' after the dilation are (0,6) and (6.-9)

How to determine the missing coordinates

The coordinates of R and R' are given as:

R = (-2,-3)

R' = (-6,-9)

Start by calculating the scale factor (k)

[tex]k = R' \div R[/tex]

So, we have:

[tex]k =(-6,-9) \div (-2,3)[/tex]

[tex]k = 3[/tex]

The coordinates of S and T are:

S = (0,2)

T=(2,-3)

The coordinates of S' and T' are then calculated as:

[tex]S' =(0,2) * 3[/tex]

[tex]S' =(0,6)[/tex]

[tex]T' =(2,-3) * 3[/tex]

[tex]T' =(6,-9)[/tex]

Hence, the coordinates of S' and T' after the dilation are (0,6) and (6.-9)

Read more about dilation at:

https://brainly.com/question/10253650