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

reflection
reflection

dilation
dilation

rotation
rotation

translation

Answer 1

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

Dilation changes the size of a figure while keeping its shape and proportions the same. In this case, since the new figure is similar and has sides that are twice as long, it indicates a dilation with a scale factor of 2.

So the correct response is: dilation.