Final answer:
Without specific measurements, the exact scale factor cannot be determined. Generally, the scale factor is calculated by dividing a side of the scaled figure (∆A'B'C') by the corresponding side of the original figure (∆ABC). The answer choices given in the question do not apply without additional information.
Step-by-step explanation:
To determine the scale factor when resizing one figure to another in geometry, we compare the lengths of corresponding sides. The question does not provide specific measurements for ∆ABC and ∆A'B'C', so we cannot calculate an exact scale factor without additional information. However, we can describe how to find the scale factor. If ∆ABC are the original dimensions and ∆A'B'C' are the new dimensions after scaling, then the scale factor is the ratio of any side of ∆A'B'C' to the corresponding side of ∆ABC, written as a simple fraction or decimal.
For instance, if side AB of ∆ABC measures 2 inches and side A'B' of ∆A'B'C' measures 4 inches, the scale factor from ∆ABC to ∆A'B'C' would be 4/2 = 2, because each dimension in ∆A'B'C' is twice as large as that in ∆ABC.
In summary, the scale factor is found by dividing a side of the scaled triangle by the corresponding side of the original triangle.