Question

finding missing lengths of the original
determining a scale factor
how would a scale factor of 0.25 be used to determine the
lengths of the original figure?
the scale factor is added to the
scale figures lengths.
the scale factor is subtracted
from the scale figures lengths.
the scale factor is multiplied by
the scale figures lengths.
the scale factor is divided into the
scale figures lengths.

Explanation:

Step1: Recall the formula for scale factor

The formula for scale factor \(k\) is \(k=\frac{\text{length of scale figure}}{\text{length of original figure}}\). To find the length of the original figure, we can rearrange the formula as \(\text{length of original figure}=\frac{\text{length of scale figure}}{k}\).

Step2: Interpret the operation

When we have \(\text{length of original figure}=\frac{\text{length of scale figure}}{k}\), it means the scale figure's lengths are divided into the original lengths (since \(k = 0.25\) in this case).

Answer:

The scale factor is divided into the scale figure's lengths.