Question

Which of the following describes a dilation that is a reduction

Answer 1

We have been four choices of dilation. We are asked to choose the option that represents reduction.

We know that a dilation changes the size of the image. The scale factor determines how much larger or smaller the image will be after dilation.

When scale factor is 1, then both image and pre-image will be same.

When the scale factor is greater than 1, then image will be larger than pre-image or original image.

When the scale factor is less than 1, then image will be smaller than pre-image or original image.

Upon looking at our given choices, we can see that option F, G and J has scale factor greater than 1, so these will be enlargement.

The scale factor is option H is 0.2, which is less than 1. Therefore, the dilation $(x,y)\rightarrow (0.2x,0.2y)$ is a reduction and option H is the correct choice.