the figure below has a quite smart with a large dot.first rotate the figure 90 degrees clockwise about the origin.then give the coordinates of the marked point in the original figure and the final figure

the figure below has a quite smart with a large dotfirst rotate the figure 90 degrees clockwise about the originthen give the coordinates of the marked point in class=

Respuesta :

The point in original figure is:

[tex](4,1)[/tex]

A rotation of 90 degrees clockwise is given by:

[tex]\begin{gathered} x^{\prime}=x\cos (90)+y\sin (90)=y \\ y^{\prime}=-x\sin (90)+y\cos (90)=-x \end{gathered}[/tex]

Therefore, the final point is:

[tex](4,1)\to(y,-x)=(1,-4)[/tex]