Adilation 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.

D. Between 0 and 1.

Step-by-step 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.

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get