Question

what is the scale factor of the dilation? scale factor =

Explanation:

Step1: Determine the corresponding lengths

Let's take the vertical segment from \(G\) to the \(x -\)axis (length \(y_G = 2\)) and from \(G'\) to the \(x -\)axis (length \(y_{G'}=10\)).

Step2: Calculate the scale factor

The formula for the scale factor \(k\) of a dilation is \(k=\frac{\text{length of image segment}}{\text{length of pre - image segment}}\). So \(k = \frac{y_{G'}}{y_G}\). Substitute \(y_G = 2\) and \(y_{G'}=10\) into the formula: \(k=\frac{10}{2}\).

Answer:

\(5\)