Question

Rectangle PQRS is rotated 90 clockwise about the origin what are the coordinates of R

Answer 1

$\boxed{R'(1,-5)}$

Explanation:

When rotating a point $(x,y)$ 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:

$(x,y)\rightarrow(y,-x)$

Since you haven't provide any diagram, I'll use the attached figure below, From here, we have the following points:

$P(2,3) \\ \\ Q(5,3) \\ \\ R(5,1) \\ \\ S(2,1)$

So according to our rule, by rotating PQRS 90 degrees clockwise about the origin, we get the new points R':

$\boxed{R'(1,-5)}$

Learn more:

Rotating a rectangle: brainly.com/question/10252112

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