Question

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

Answer 1

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**.