Question

Which must be true of a scale factor of a dilation if the image issmaller than the pre-image?a. The scale factor is negative.b. The scale factor is between - 1 and 0.C. The scale factor is between 0 and 1.d. The scale factor is greater than 1.

Answer 1

A dilation is a transformation that scales a pre-image point or figure into an image.

The general transformation rule is:

`(x,y)\longrightarrow(kx,ky)`

where k is the factor of dilation.

For a pure dilation transformation, the factor k will take only positives values.

When k is between 0 and 1, the image will be smaller than the pre-image.

When k is greater than 1, the image will be greater than the pre-image.

If k=1, there is no dilation, as the image will be equal to the pre-image.

Answer:

If the image is smaller than the pre-image, the scale factor is between 0 and 1.