Dilations intro

in previous videos we started talking about the idea of transformations in particular we talked about rigid transformations so for example you can you can shift something this would be a translation so the thing that I'm moving around is a translation of our original triangle you could have a rotation so that thing that I translated I am now rotating it as you see right over there and you can also have a reflection the tool that I'm using doesn't make reflection too easy but that's essentially flipping it over a line but what we're going to talk about in this video is a non rigid transformation and what makes something a rigid transformation is that lengths between points are preserved but in a non rigid transformation those lengths do not need to be preserved so for example this rotated and translated triangle that I'm moving around right here in fact I'm continuing to translate it as I talk I can dilate it and one way to think about dilation is that we're just scaling it down or scaling it up so for example here I am scaling it down that is a dilation or I could scale it up this is also a dilation or even get going off of the graph paper so the whole point here is just appreciate that we don't just have the rigid transformations we can have other types of transformations and dilation is one of them in your toolkit that you will often see especially when you get introduced to the idea of transformation