Question

A dilation is a reduction if the scale factor is _____

A. greater than 1.
B. equal to 1.
C. less than 0.
D. between 0 and 1.

Answer 1

D. between 0 and 1 because anything less than 1 is going to be reduced.

Answer 2

D. Between 0 and 1.

Explanation:

We have been given an incomplete sentence. We are asked to complete our given sentence.

Sentence: A dilation is a reduction if the scale factor is _____.

We know that dilation is a transformation that changes the size of an image and produces another image that has same shape but different size.

Dilation either stretches or shrinks the original figure. It depends on scale factor. When scale factor is less than 1, the size of the figure reduces. When the scale factor is greater than 1, then size of the figure stretches.

So, the correct choice is option D as if we multiply any number by 0, we get 0. Therefore, a dilation is a reduction if the scale factor is between 0 and 1.