Question

which figure will be produced by rotating figure f 90° counterclockwise about the origin (0, 0)?

Explanation:

Step1: Recall rotation rule

The rule for rotating a point $(x,y)$ 90 - degrees counter - clockwise about the origin is $(x,y)\to(-y,x)$.

Step2: Apply rule to figure

For each vertex of Figure F, apply the $(x,y)\to(-y,x)$ transformation. Analyze the orientation change of the entire figure. The original figure in the first - quadrant will move to the second - quadrant after a 90 - degree counter - clockwise rotation about the origin.

Answer:

The figure that has the original figure's orientation changed according to the 90 - degree counter - clockwise rotation rule about the origin (moved from first to second quadrant). Without specific labels for the options, it's not possible to precisely identify which of the four given figures is correct, but it should be the one with the appropriate orientation and position change as described above.