Question

the scale factor is
the image is a(n)

Explanation:

Step1: Calculate the scale factor

The scale factor \(k\) is the ratio of the corresponding lengths in the image and the pre - image. Here, if the length from the center \(C\) to a vertex of the image is \(9\) and to the corresponding vertex of the pre - image is \(15\), then \(k=\frac{9}{15}\). Simplifying \(\frac{9}{15}=\frac{3}{5}\) (dividing numerator and denominator by \(3\)).

Step2: Determine the type of transformation

Since the scale factor \(k = \frac{3}{5}<1\), when a figure is transformed with a scale factor \(0 < k<1\), the transformation is a reduction.

Answer:

The scale factor is \(\frac{3}{5}\). The image is a reduction.