To determine the correct scale factor for a dilation that increases the size of the object, we need to look for a scale factor that is greater than 1.
- 5:1 indicates an increase (5 is greater than 1).
- 2:3 indicates a decrease (2 is less than 3).
- 0.5:1 indicates a decrease (0.5 is less than 1).
- 13:10 indicates an increase (13 is greater than 10).
Therefore, the appropriate scale factor that would be used to increase the size of the object is 5:1 or 13:10. However, since 5:1 is a more substantial increase than 13:10, it might be the one intended for emphasis on enlargement.
In conclusion, the answer is 5:1 as it increases the size significantly.