The image shows a question about determining the rule for a geometric rotation. The triangle on the graph has its initial points labeled $U$, $V$, and $W$, and its rotated version has the points labeled $U'$, $V'$, and $W'$.

By observing the grid:

• The figure has been rotated 90 degrees in a clockwise direction, as the points are rotated to a new position matching this rotation rule.
  • For instance, $U$ has rotated to $U'$, and the same pattern follows for $V$ and $W$.

The correct rule for this transformation is "Rotation 90 degrees clockwise", which matches option b in the multiple-choice list.

Would you like further details on how to determine the rotation, or do you have any other questions?

Here are some related questions:

1. What is the formula for rotating a point 90 degrees clockwise?
2. How would the coordinates change if the rotation were 180 degrees?
3. What is the difference between clockwise and counterclockwise rotation in terms of coordinate transformations?
4. How do you rotate an object about a point that is not the origin?
5. How can you use matrices to represent rotations?

Tip: To visualize rotations, remember that 90 degrees clockwise is equivalent to a quarter turn to the right!