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Do I use the formula A' = A*f?
But do I use the formula that I mentioned?
scale factor each length changes by factor to get the new length
not sure what your formula represents
A' stands for the new point, A stands for the original point, and f stands for scale factor
with my approach the lengths are changing AB BC and AC start at one location then change to find new coordinates
The new coordinates I got are A = (1/5 , 1) ; B = (-2/5 , 1/5) ; C = (0, -4/5)
Could u help me out?
Are my new coordinates correct @SolomonZelman ?
There are different ways of dilation, but the most common if you are not asked to do it otherwise is to obtain the distance from the point of origin (0,0) to the coordinates one-by-one and factor it. Here is an example.|dw:1437621122694:dw|
But this doesn't give me the coordinates...
it doesn't right away, but if you think about it, the distance formula is a derivation of the pythagorean theorem, which will allow you to work out the coordinates
I am providing you one of the ways to do this, and there will be other methods and they may even prove to be much easier depending on the situation. The point I was trying to drive home is the concept behind scaling factor that may either be a dilation or compression.
in other cases, the scaling or dilation may not be from the origin and you might be asked to do it at a certain point. |dw:1437621950818:dw|
Are you familiar with this formula? A' = A*f
I do not use that formula, but I do know what that is. People write it differently, and all it boils down to is a multiplication or division from of a particular displacement.
My school gave me that formula, and that's what I used to get the coordinates that I posted earlier
Do u think they're correct? I'm pretty sure they are, but I'm still doubtful...
the concept has many applications which we do not have to memorize many formulas, we stick to basic ones. I will show you what I mean. |dw:1437622547410:dw|
Sorry... still don't get it...
What did u get for the new coordinates?
sorry, I am not going to answer your homework for you. If you really want the coordinates, you will have to understand the concept first and not focus so much on what formula you've been given. https://www.illustrativemathematics.org/content-standards/tasks/602
Hehe, sorry but the method you're giving me is pretty confusing...
you can use the formula your school gave you all you want, but that limits you from understanding what is going on because they did not even explain how they got that formula in the first place. My concern before was that it was not emphasized that the formula you have was not a restricted dilation from the origin (0,0)
Ok, I'll try to work on it.
The beauty of what I am trying to show you is that it uses what other math you're familiar with and utilizing them to solve other problems.