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?

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?

a. translation
b. rotation
c. reflection
d. dilation

Answer 1

The transformation that occurs when the lengths of the sides of a figure are doubled to create a similar figure is called a dilation. A dilation changes the size of a figure while keeping its shape the same, which is what happens when the side lengths are multiplied by a scale factor.

Therefore, the answer is:

d. dilation