Answer:
<em>The dilation is a reduction</em>
Step-by-step explanation:
<u>Dilations</u>
A dilation is a transformation that produces an image that has the same shape as the original but has a different size.
A dilation is described by the scale factor or constant of dilation and the center of the dilation.
Most dilations occur across the origin as its center. If the scale factor is greater than one, then the dilation is an enlargement. If the scale factor is less than one, the dilation is a reduction.
Let's focus on the black shape and the purple shape. The question states the purple shape is a dilation of the black shape. Note all the points (and therefore the side lengths) of the purple shape are equivalent to those of the black shape divided by 3.
This gives a scale factor of 1/3. Since it's less than one, the dilation is a reduction
