Question

write the coordinates of the vertices after a rotation 270° counterclockwise around the origin.

Explanation:

Step1: Recall the rotation rule

The rule for a \(270^{\circ}\) counter - clockwise rotation around the origin is \((x,y)\to(y, - x)\).

Step2: Identify the original coordinates

The original coordinates of point \(S\) are \((-8,-3)\). Here \(x=-8\) and \(y = - 3\).

Step3: Apply the rotation rule

Substitute \(x=-8\) and \(y=-3\) into the rule \((x,y)\to(y,-x)\). We get \(y=-3\) and \(-x=-(-8) = 8\).

Answer:

\((-3,8)\)