[tex]\boxed{R'(1,-5)}[/tex]
Explanation:
When rotating a point [tex](x,y)[/tex] around the origin in clockwise direction, you must always swap the x- and y-coordinates and then multiply the new x-coordinate by -1. In a mathematical language this is as follows:
[tex](x,y)\rightarrow(y,-x)[/tex]
Since you haven't provide any diagram, I'll use the attached figure below, From here, we have the following points:
[tex]P(2,3) \\ \\ Q(5,3) \\ \\ R(5,1) \\ \\ S(2,1)[/tex]
So according to our rule, by rotating PQRS 90 degrees clockwise about the origin, we get the new points R':
[tex]\boxed{R'(1,-5)}[/tex]
Learn more:
Rotating a rectangle: https://brainly.com/question/10252112
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