From the image, Figure $G$ is the result of a transformation on Figure $F$. Let's analyze the transformations:

• Figure $F$ is located below the x-axis (in the third quadrant), while Figure $G$ is above the x-axis (in the second quadrant).
• Rotation: Since Figure $F$ is reflected across the x-axis and appears to have rotated from its original position, the correct transformation seems to be a rotation.

Check the options:

1. A rotation 90° counterclockwise about the origin:

   • This would place the figure from quadrant III to quadrant II, which matches the movement of Figure $F$ to Figure $G$.

2. A translation 1 unit to the left and 9 units up:

   • This is a vertical and horizontal shift, but it wouldn't account for the rotation of the figure.

3. A rotation 90° clockwise about the origin:

   • A clockwise rotation would place the figure in quadrant IV, which is incorrect.

4. A translation 1 unit to the right and 9 units down:

   • Again, this only shifts the figure but does not rotate it.

Conclusion:

The correct transformation is a 90° counterclockwise rotation about the origin.

Would you like further details or have additional questions? Here are some related questions to explore:

1. How can you confirm a 90° counterclockwise rotation on a coordinate plane?
2. What are the properties of rotation about the origin in geometry?
3. How do you find the image of a point after a 90° counterclockwise rotation?
4. What is the difference between rotation and reflection in transformations?
5. How do translations affect coordinates compared to rotations?

Tip: When rotating a figure counterclockwise by 90° around the origin, switch the coordinates $(x, y)$ to $(-y, x)$.