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)

Question

Responses

dilation
dilation

reflection
reflection

rotation
rotation

translation

Answer 1

In this scenario, where one figure is mapped to a similar figure with sides that are twice the lengths of the corresponding sides of the original figure, the type of transformation that must occur is dilation.

A dilation is a transformation that changes the size of a figure but keeps its shape the same, and it involves scaling the figure by a certain factor—in this case, a factor of 2.

So, the correct response is:

dilation.