Mathematics
Noodlearms:

The dashed triangle is the image of the solid triangle. The center of dilation is (6, 6). What is the scale factor used to create the dilation?

Noodlearms:

JamesTDG:

The reduction is from 15 tiles wide to 3 tiles wide, what number do you think 15 would have to be divided by to get 3?

Noodlearms:

5?

JamesTDG:

Correct. Now then, is the figure's translation increasing or decreasing in size? (this will determine the scale factor for the dilation)

Noodlearms:

Increasing?

JamesTDG:

note: the image is what has happened after the events

Noodlearms:

Oh, so it's decreasing

JamesTDG:

yes.

JamesTDG:

oh, uh, I just realized I made an error in helping you, you were supposed to "(image length)/(preimage length)" (apologies, it has been some time since I have did this part of geometry)

Noodlearms:

Oh, no worries at all, do you know the answer?

JamesTDG:

Yes I do, but I wish to work you through the steps so that you don't get stuck in this rut again.

JamesTDG:

So, we know the length of the 2 triangles, right? Pre-image is the large triangle Image is the small one Since the dilation is decreasing the size of the pre-image, you are to divide the length of the image by the length of the pre-image then simplify.

JamesTDG:

IDK if you have to post your response in fraction or decimal form though.

Noodlearms:

Oh I think either is fine