Geometry

Question Analysis

This question is about determining the scale factor  for a dilation. We need to compare the pre - image  and the image  to figure out the range of .

Key Concept Explanation

k>1: In dilation, if k > 1, the image is an enlargement of the pre - image. That is, the distances between corresponding points in the image are greater than those in the pre - image.

k = 1: When k = 1, the image and pre - image are congruent, meaning they have the same size and shape.

0 < k < 1: If 0 < k < 1, the image is a reduction of the pre - image. So,  the distances between corresponding points in the image are smaller than those in the pre - image.

Step - by - Step Solution

Observe the lengths of corresponding sides of  and . For example, we can look at the distances between corresponding vertices. We can see that the sides of  are shorter than the sides of

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