Question

side length in original rectangle,corresponding side length in scaled copy,1,2,2,4,the scale factor is

Explanation:

Step1: Recall scale - factor formula

The scale factor $k$ is given by the ratio of the side - length of the scaled copy to the side - length of the original figure, i.e., $k=\frac{\text{side length in scaled copy}}{\text{side length in original}}$.

Step2: Calculate using first row

Using the first row of the table where the side length in the original rectangle is $1$ and the corresponding side length in the scaled copy is $2$, we have $k = \frac{2}{1}=2$.

Step3: Verify using second row

Using the second row of the table where the side length in the original rectangle is $2$ and the corresponding side length in the scaled copy is $4$, we have $k=\frac{4}{2}=2$.

Answer:

$2$