Final answer:
The given transformation (x,y) → (2.5x, 2.5y) is an enlargement.
Step-by-step explanation:
The given transformation (x,y) → (2.5x, 2.5y) is an example of an enlargement.
To determine if a transformation is a reduction or an enlargement, we need to consider its scaling factor. In this case, both the x-coordinates and y-coordinates are multiplied by 2.5. Since 2.5 is greater than 1, the image will be larger than the original object, indicating an enlargement.
Therefore, the correct answer is b) Enlargement.