Final answer:
The scale factor of the dilation that transforms triangle PQR to triangle P'Q'R' is 1/4.
Step-by-step explanation:
The scale factor of the dilation that transforms triangle PQR to triangle P'Q'R' is 1/4. The scale factor represents the relationship between the corresponding lengths of the sides of the two triangles. In this case, the scale factor of 1/4 means that each side of the triangle P'Q'R' is 1/4 times the length of the corresponding side of triangle PQR.
To find the scale factor, you can compare the lengths of corresponding sides. For example, if the length of side PQ is 10 units and the length of corresponding side P'Q' is 2.5 units, then the scale factor is 2.5/10, which simplifies to 1/4.
So, the scale factor of the dilation is 1/4.