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

translation
translation

dilation
dilation

reflection
reflection

rotation
rotation

Answer 1

In this scenario, 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 must occur is a dilation.

Dilation is a type of transformation that alters the size of a figure while maintaining its shape and proportionality. In this case, a dilation with a scale factor of 2 would increase the lengths of all sides of the original figure to twice their original lengths, resulting in a similar figure.

So the correct response is:

dilation