Question

the dashed triangle is the image of the pre - image solid triangle. what is the scale factor used to create the dilation? enter your answer in the box.

Explanation:

Step1: Identify corresponding side lengths

Let's assume the length of a side of the pre - image (solid triangle). Suppose the vertical side of the pre - image (solid triangle) has a length of \(3\) units (by counting the grid squares). The vertical side of the image (dashed triangle) has a length of \(9\) units.

Step2: Calculate the scale factor

The formula for the scale factor \(k\) of a dilation is \(k=\frac{\text{length of a side of the image}}{\text{length of the corresponding side of the pre - image}}\). So, \(k = \frac{9}{3}\)

Answer:

\(3\)