Question

problem 3a
triangle abc is dilated using center d to form triangle abc.
what is the scale factor?

Explanation:

Step1: Recall the formula for scale factor

The scale factor \(k\) of a dilation is given by \(k=\frac{\text{length of a side in the image}}{\text{length of the corresponding side in the pre - image}}\).

Step2: Identify corresponding sides

Let's take the vertical sides. The length of the vertical side in the pre - image \(\triangle ABC\) is \(4\), and the length of the vertical side in the image \(\triangle A'B'C'\) is \(12\).

Step3: Calculate the scale factor

Using the formula \(k = \frac{12}{4}\).

Answer:

\(3\)