Question

1. if the scale factor of a dilation is ⅓, which of the following describes the results? a. the image is larger than the preimage b. the preimage is a reduction of the image c. the image is congruent to the preimage d. the image is a reduction of the preimage

Explanation:

Step1: Recall dilation concept

A dilation with a scale - factor \(k\) where \(0 < k<1\) is a reduction. Here \(k = \frac{1}{3}\) which is between \(0\) and \(1\).

Step2: Determine the relationship between pre - image and image

When the scale factor of a dilation is between \(0\) and \(1\), the image is a reduction of the pre - image.

Answer:

d. The image is a reduction of the preimage