Question

what type of dilation took place? 1 point what is the scale factor? 1 point

Explanation:

Step1: Observe the figures

The pre - image (the larger polygon STUVW) is transformed to the image (the smaller polygon S'T'U'V'W'). When a figure becomes smaller after dilation, it is a reduction.

Step2: Determine scale factor

Let's consider a corresponding side. For example, if we look at the distance from the origin to a vertex of the pre - image and the distance from the origin to the corresponding vertex of the image. Suppose the distance of a vertex of the pre - image from the origin is \(d_1\) and the distance of the corresponding vertex of the image from the origin is \(d_2\). The scale factor \(k=\frac{d_2}{d_1}\). If we observe carefully, we can see that the linear dimensions of the image are half of the pre - image. So the scale factor \(k = \frac{1}{2}\).

Answer:

What type of dilation took place? Reduction
What is the scale factor? B. \(1/2\)