Verified Answer :

Answer: A. (-2,8)

Step-by-step explanation:

We know that the rule for rotation of \(R_{90}\) is given by :-

\((x,y)\rightarrow(-y,x)\), where (x,y) is the point of pre-image and (-y,x) is a point of image.

The given point of pre-image : A(8,2)

Then after rotation of  \(R_{90}\), we have the image point as :-

\((8,2)\rightarrow(-2,8)\)

Hence, the image point of A(8,2) is (-2,8) .