When a shape is dilated to another, it must be done through a scale factor.
The distance from Q to S is 3 units.
Given that:
[tex]P \to A[/tex]
[tex]Q \to B[/tex]
[tex]R \to C[/tex]
[tex]S \to D[/tex]
[tex]PR = 3[/tex]
From the attached image:
[tex]AC = 6[/tex]
[tex]BD = 6[/tex]
AC corresponds to PR
BD corresponds to QS
Since AC and BD have the same side lengths
Then PR and QS will have the same side lengths
Hence, the value of QS is:
[tex]QS = 3[/tex]
Read more about scaled copy at:
https://brainly.com/question/20859970