Question

what is the image of point a after a rotation of 90° in the counterclockwise direction?

Explanation:

Step1: Recall the rotation rule

The rule for a \(90^{\circ}\) counter - clockwise rotation about the origin is \((x,y)\to(-y,x)\).

Step2: Determine the coordinates of point \(A\)

Assume the coordinates of point \(A\) are \((1,-1)\) (by observing the grid).

Step3: Apply the rotation rule

Using the rule \((x,y)\to(-y,x)\), for \(x = 1\) and \(y=-1\), we get \((-(-1),1)=(1,1)\). But looking at the grid, if we consider the center of rotation as the origin and count the units:
If we rotate point \(A\) \(90^{\circ}\) counter - clockwise. Moving from point \(A\), after rotation, it maps to point \(B\).

Answer:

\(B\)