Question

hi is rotated 90° clockwise about the origin to produce hi. write the rule for the rotation. (x, y) → (□, □)

Explanation:

Step1: Recall rotation rule

When a point \((x,y)\) is rotated \(90^{\circ}\) clockwise about the origin, the new coordinates \((x',y')\) can be found using the rule.
We know that for a \(90^{\circ}\) clockwise rotation about the origin, if the original point is \((x,y)\), then \(x'=y\) and \(y'=-x\).

Answer:

\((x,y)\to(y, -x)\)