If you're seeing this message, it means we're having trouble loading external resources on our website.

Хэрэв та вэб шүүлтүүртэй газар байгаа бол домэйн нэрийг *.kastatic.org and *.kasandbox.org блоклосон эсэхийг нягтална уу.

Үндсэн товъёог

# Identifying transformations

## Video transcript

what we're going to do in this videos get some practice identifying some transformations and the transformations we're going to look at are things like rotations where you are spinning something around a point we're gonna look at translations where you're shifting all the points of a figure we're gonna look at reflection where you flip a figure over some type of a line and we'll look at dilations where you're essentially going to either shrink or expand some type of a figure so with that out of the way let's think about this question what single transformation was applied to triangle a to get triangle B so it looks like triangle a and triangle B they're the same size and what's really happened is that every one of these points has been shifted or another way I could say they have all been translated a little bit to the right and up and so right like this they have all been translated so this right over here is clearly a translation let's do another example what single transformation was applied to get what it's applied to triangle aid to get to triangle B so if I look at this these diagrams this point seems to correspond with that one this one corresponds with that one so it doesn't look like straight translation because they would have been translated in different ways so it's definitely not a straight translation let's think about it looks like there might be a rotation here so maybe looks like that point went over there that point went over there this point went over here and so we could be rotating around some point right about here and if you rotate around that point you could get to a situation that looks like triangle B and I don't know the exact point that we're rotating around but this looks pretty clear like a rotation let's do another example what single transformation was applied to quadrilateral a to get to quadrilateral B so let's see it looks like this point corresponds to that point and so it's and then this point corresponds to that point and that point corresponds to that point so they actually look like reflections of each other if you were to imagine some type of a mirror right over here they're actually mirror images this got flipped over the line that got flipped over the line and that got flipped over the line so it's pretty clear that this right over here is a reflection all right let's do one more of these what single transformation was applied to quad relay to get to quadrilateral B all right so this looks like so quadrilateral B is clearly bigger so this is a non rigid transformation the distance between corresponding points has looks like it has increased now you might be saying well wouldn't that be it looks like if you're making something bigger or smaller that looks like a dilation but it looks like this has been moved as well does it has it been translated and the key here to realize is around what is your center of dilation so for example if your center of dilation is let's say right over here then all of these things are going to be stretched that way and so this point might go to there that point might go over there this point might go this point might go over here and then that point might go over here so this is definitely a dilation where you are your center where everything is expanding from is just outside of our trapezoid a