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 \( s=\frac{1}{6} f \). What is the constant of proportionality from side lengths in the original figure to side lengths in the scaled copy?

The constant of proportionality between the side lengths in the original figure and the scaled copy is \( \frac{1}{6} \). This indicates that each side of the original figure is reduced to one-sixth of its length when creating the scaled copy, demonstrating a consistent and uniform resizing relationship across all dimensions. Understanding the proportionality can enhance visualization! Imagine a large piece of paper (the original figure) that you want to shrink down to fit in your pocket (the scaled copy). If your large paper measures 6 inches on one side, applying the proportional relationship means you'd end up with just 1 inch on the scaled copy. It's like going from a banner to a business card—definitely handy for compact storage!