Question

rotations in the coordinate plane
nancee knight
multiple - choice question
can you see what the new coordinates will be for a rotation of 270?

Explanation:

Step1: Recall the rotation rule for 270° clockwise

When a point \((x,y)\) is rotated 270° clockwise about the origin, the new coordinates \((x',y')\) are given by the rule \((x,y)\to(y, -x)\).

Step2: Apply the rule to the point \(C(3,6)\)

Here \(x = 3\) and \(y=6\). Using the rule \((x,y)\to(y, -x)\), we substitute \(x = 3\) and \(y = 6\) into the formula. So \(x'=6\) and \(y'=- 3\).

Answer:

\((6,-3)\)