Dilations?

Presumably you're asking for the answer. But we're not primarily about giving answers, but about giving help:

That means we need to know what help you need.

Can you tell us what "scale factor" means, and what that might have to do with the numbers shown?

In particular, you have probably been taught a conventional notation, that P is the original point (or may that refers to the whole triangle), and P' (read as "P prime") is the result of the dilation (enlargement). But some words would have been helpful to make the problem clear; did you omit part of the problem?
 
I know that the scale factor is the ratio of the length of a side of one figure to the length of another corresponding figure. This will tell me whether the weather the original figure is being dilated or reduced. The problem is though when you know what "x" is in the figure how can you find the scale factor. I've tried many ways but all seem to be wrong. Wanna point me in the right direction?
 
I know that the scale factor is the ratio of the length of a side of one figure to the length of another corresponding figure. This will tell me whether the weather the original figure is being dilated or reduced. The problem is though when you know what "x" is in the figure how can you find the scale factor. I've tried many ways but all seem to be wrong. Wanna point me in the right direction?
The number "6" in the figure presumably refers to length of a line in the figure. Which line?

Does that help your thinking a bit?
 
I wanna guess that the value 6 refers to one of the lengths of P' but I'm unsure.
 
I know that the scale factor is the ratio of the length of a side of one figure to the length of another corresponding figure. This will tell me whether the weather the original figure is being dilated or reduced. The problem is though when you know what "x" is in the figure how can you find the scale factor. I've tried many ways but all seem to be wrong. Wanna point me in the right direction?
You might want to look for some similar triangles whose sides you know.

I'd also like to see what you have been taught about dilations, specifically. And I suspect you've only shown us part of a problem; seeing the whole thing might help all of us.

I wanna guess that the value 6 refers to one of the lengths of P' but I'm unsure.
Isn't 6 the length of segment CP? It's nowhere near P'.
 
Oh yeah, you're right. and then the length of CP' would be 14. I've only seen dilations where the scale factor I already know and I need to apply it onto a coordinate plane. That's why I'm unsure where to look and what steps to do to find the scale factor.
 
Top