What is the scale factor of the dilation?

Is the dilation an enlargement or a reduction?

Answers:

Scale Factor = 3/4

This is a reduction

Explanation:

Let's focus on the point R(4,4). That's the preimage point for the image of R ' (3,3).

Let k be the scale factor. We multiply this value of k by the x,y coordinates of point R to jump to R '

we have x = 4 jump to 4k which is the x coordinate of point R'

So we set 4k equal to 3 and solve for k to get k = 3/4. The scale factor is 3/4 or 0.75

We have a reduction since the image triangle T'R'S' is smaller compared to the preimage triangle TRS. We can see that we have a reduction by looking at the scale factor. If 0 < k < 1, then we have a reduction. If k > 1, then we have an enlargement instead. So we go with the first option since 0 < 3/4 < 1 or you could say 0 < 0.75 < 1.