Suppose one figure is mapped to a similar figure on the coordinate plane. The lengths of the sides of the similar figure are twice the lengths of the corresponding sides of the original figure. In a sequence of transformations from the preimage to the image, which type of transformation must occur?(1 point)Responsestranslationtranslationrotationrotationreflectionreflectiondilationdilation

In this case, when the lengths of the sides of the similar figure are twice the lengths of the corresponding sides of the original figure, the transformation that occurs is a dilation.

Dilation is a transformation that changes the size of a figure but maintains its shape, and it is characterized by a scale factor—in this case, the scale factor is 2 (since the sides are doubled). Thus, the correct response is:

dilation.