Question

rotate points a and b using (0,0) as the center of rotation. first, rotate point a 90° counterclockwise using (0,0) as the center of rotation. original point rotated point a (-2,8) a

Explanation:

Step1: Recall the rotation rule

When rotating a point \((x,y)\) \(90^{\circ}\) counter - clockwise about the origin \((0,0)\), the rule is \((x,y)\to(-y,x)\).

Step2: Apply the rule to point \(A(-2,8)\)

Here \(x=-2\) and \(y = 8\). Substitute into the rule:
The new \(x\) - coordinate of \(A'\) is \(-y=-8\), and the new \(y\) - coordinate of \(A'\) is \(x=-2\).

Answer:

\((-8,-2)\)