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) Responses rotation rotation reflection reflection translation translation dilation

Answer 1

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

A dilation is a transformation that alters the size of a figure while maintaining its shape, typically characterized by a center of dilation and a scale factor. Since the new figure has sides that are twice the length of the original, the scale factor is 2.

So, the correct response is dilation.