The scale factor is 2.
The center of dilation is approximately at (4.5, 6).
The ratio of corresponding side lengths in similar figures is equal to the scale factor.
The center of dilation is the same for all pairs of corresponding points.
1. Find the scale factor:
We can see that side AB of triangle ABC has been dilated to become A'B' in triangle A'B'C'.
The length of AB is 5 units, and the length of A'B' is 10 units.
Therefore, the scale factor is 10/5 = 2.
2. Find the center of dilation:
We know that corresponding sides in similar figures intersect at the center of dilation.
In this case, we can see that the medians of both triangles intersect at a point slightly above and to the right of point B.
Therefore, the center of dilation is approximately at (4.5, 6).