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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 sealed copy, s, can be represented by the equation \( s=\frac{11}{2} f \). What is the seale factor from the original figure to the scalexl copy? Answer stleaptiont of a \( \square \) Solinil Amost

Ask by Wade Tyler. in the United States
Jan 23,2025

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The scale factor from the original figure to the scaled copy is \( \frac{11}{2} \).

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The scale factor from the original figure to the scaled copy can be determined directly from the equation provided. Since the equation states \( s=\frac{11}{2} f \), we can interpret the coefficient \( \frac{11}{2} \) as the scale factor. This means that every side length in the original figure is multiplied by \( \frac{11}{2} \) to obtain the corresponding side length in the scaled copy. This transformation demonstrates how proportional scaling works in geometry, ensuring that all dimensions of a figure expand uniformly. So, if you were to create a plot of both figures, they would retain their shape but increase in size by a factor of \( \frac{11}{2} \). It's a neat way to change the size while holding on to the original characteristics of the shape!

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