A four-sided figure is resized to create a scaled copy. The proportional relationship between any given side length in the original figure, f, and the corresponding side length in the scaled copy, s, can be represented by the equation s, equals, one quarter, fs=

4
1

f. What is the scale factor from the original figure to the scaled copy?

1 answer

The equation given is \( s = \frac{1}{4} f \), which indicates the relationship between the side lengths of the original figure \( f \) and the scaled copy \( s \).

To determine the scale factor from the original figure to the scaled copy, we can express it as the ratio of corresponding side lengths:

\[ \text{Scale Factor} = \frac{s}{f} = \frac{1}{4} \]

This means that the scale factor from the original figure to the scaled copy is \( \frac{1}{4} \) or 0.25. In other words, the sides of the scaled copy are one-quarter the length of the sides of the original figure.