Question

figure qrst is dilated to form its image, figure qrst.
what is the scale factor of the dilation?
scale factor =

Explanation:

Step1: Determine the length of a side in the original figure

Let's consider side \(RS\). Counting the units on the grid, \(RS = 2\) units.

Step2: Determine the length of the corresponding side in the dilated figure

The corresponding side \(R'S'\) has a length of \(4\) units.

Step3: Calculate the scale factor

The scale factor \(k\) of a dilation is given by the formula \(k=\frac{\text{length of side in image}}{\text{length of side in original figure}}\). So, \(k = \frac{4}{2}\)

Answer:

\(2\)