So in this case weĭidn't even have to draw A'B'C'D'E'. And of course what's two times 5/2? Well it is going to be equal to five, five of these units right over here. And so the length of A'E' is going to be equal to AE which is two times the scale factor, times 5/2, this is our scaleįactor right over here. And so you can see that the length of AE is equal to two. Length of segment A'E', this is going to be, you could think of it as the image of segment AE. That means that theĬorresponding lengths will change by a factor of 5/2. Well they give us the scale factor, and so what it tells us, the scale factor is 5/2. The length of a segment? Well I encourage you to pause the video and try to think about it. What is the length of segment A'E'? So as I was mentioning while I read it, they didn't actually draw this one out. So we are told that pentagon A'B'C'D'E' is the image, and they don't, they haven't drawn that here, is the image of pentagon ABCDE under a dilation withĪ scale factor of 5/2. So once again you see our scale factor being 1/3. Here between A' and E', our change in y is negative one, which is 1/3 of negative three, and our change in x is one, which is 1/3 of three. Three right over here, and our change in x is So if you looked at the distance between point A and point E, our change in y is negative You didn't have a vertical or a horizontal line? Well one way to think about it is, the changes in y and the changes in x would scale accordingly. That was pretty straightforward because we had a very clear, you could just see theĭistance between A and B. So our scale factor right over here is 1/3. Over here is equal to two, and so you can see we went from having a length of six to a length of two, so you would have to multiply by 1/3. Now what about the corresponding side from A' to B'? Well this length right So this length right over here is equal to six. Well this is one, two, three, four, five, six. What is our distance? Our change in y is our distance because we don't have a change in x. What is our change in y? Our change in, or even When you do a dilation, the distance between corresponding points will change according to the scale factor. Out the scale factor you just have to realize The center of the dilation, but in order to figure What is the scale factor of the dilation? So they don't even tell us We are told that pentagon A'B'C'D'E', which is in red right over here, is the image of pentagon ABCDE under a dilation.
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