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)
Responses

translation
translation

reflection
reflection

rotation
rotation

dilation

Answer 1

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

Dilation is a transformation that alters the size of a figure while maintaining its shape, where corresponding lengths are multiplied by a scale factor. In this case, the scale factor is 2.

So, the correct answer is:

**dilation**