Question

consider the figures. what is the scale factor of the dilation from the smaller square to the larger? enter the correct answer in the box. show hints

Explanation:

Step1: Define scale - factor formula

The scale factor $k$ of a dilation from a smaller figure to a larger figure is given by $k=\frac{\text{length of a side of the larger figure}}{\text{length of the corresponding side of the smaller figure}}$.

Step2: Assume side - length values

Let the side - length of the smaller square be $s_1$ and the side - length of the larger square be $s_2$. If we assume $s_1 = 1$ and $s_2=3$ (by visually comparing the two squares, assuming a unit - like relationship). Then the scale factor $k=\frac{s_2}{s_1}$.

Step3: Calculate the scale factor

Substitute the values into the formula: $k = 3$.

Answer:

3