Write the coordinates of the vertices after a rotation 90° counterclockwise around the origin.Questions

The given coordinates of the vertices of the figure are:
[tex]R(3,4),S(10,4),T(10,8),U(3,8)[/tex]Recall the coordinate rule for 90⁰ counterclockwise rotation around the origin:
[tex](x,y)\rightarrow(-y,x)[/tex]Apply this rule to the first vertex, R(3,4):
[tex]\begin{gathered} R(3,4)\rightarrow R^{\prime}(-4,3) \\ \Rightarrow R^{\prime}=(-4,3) \end{gathered}[/tex]Apply this rule to the other vertices to get:
[tex]\begin{gathered} S^{\prime}=(-4,10) \\ T^{\prime}=(-8,10) \\ U^{\prime}=(-8,3) \end{gathered}[/tex]Answers:
R'=(-4,3)
S'=(-4,10)
T'=(-8,10)
U'=(-8,3)