https://file.aiquickdraw.com/mathbot/file/1726143843238qdkk1ti4.jpg

The given image shows a transformation problem where we need to determine which transformation maps the pre-image (black) to the image (blue).

From the graph:
- The pre-image consists of points \( I \), \( F \), \( R \), and \( W \) in black.
- The image consists of points \( I' \), \( F' \), \( R' \), and \( W' \) in blue.

### Observation:
- It appears that the blue image is larger than the black pre-image but maintains the same orientation. This suggests that a dilation may be the transformation.
- The points in the image appear to be scaled, and after comparing the points, the size of the blue image is double the black pre-image.

### Conclusion:
The transformation that carries the pre-image to the image is a **dilation by a scale factor of 2**. This matches with one of the options in the list.

Let me know if you'd like further details or explanations!

### Related Questions:
1. What is a dilation transformation in geometry?
2. How does the scale factor affect the size of the figure during a dilation?
3. What is the difference between dilation and translation?
4. Can a dilation change the orientation of a figure?
5. How can you confirm a dilation transformation on a coordinate plane?

**Tip:** To verify a dilation, compare the distances between corresponding points in the pre-image and image. If they are proportional by the scale factor, it's a dilation.

Given the graph below, identify the transformation that carries the pre-image to the image.

Learn how to identify geometric transformations, specifically dilation, by analyzing pre-image and image points on a coordinate plane. Understand how to apply the dilation formula and verify transformations. This problem is suitable for students in Grades 8-10.

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