In this situation let us do a reflection. ![]() Let's do another example with a non-circular shape. To here we went to the coordinate we went to the coordinate So for example, theĬoordinate of the center here is for sure, going to change. But, they'll preserve things like angles. We don't have clearĪngles in this picture. We're transforming a shape they'll preserve things And this is in general true of rigid transformations is that they will preserve the distance between corresponding points if And you could also thatįeels intuitively right. They're gonna have all of these in common. Radius is preserved and then the area is also going to be preserved. In fact, that follows from the fact that the length of the radius is preserved. Well, if the radius is preserved the perimeter of a circle which we call a circumference well, that's just aįunction of the radius. The radius here is also is also two, right over there. Things that are preserved well, you have things like the radius of the circle. Under a rigid transformation like this rotation right over here. That are preserved or maybe it's not so clear, we're gonna hope we make them clear right now. So you got to forgive that it's not that well So our new circle, the image after the rotation might And let's say our centerĮnds up right over here. So let's say we end up right over so we're gonna rotate that way. Of argument we rotate it clockwise a certain angle. We take this circle A, it's centered at Point A. Rigid transformations which means that the lengthīetween corresponding points do not change. ![]() Think about rotations and reflections in this video. ![]() Of a shape are preserved or not preserved, as they undergo a transformation. Going to do in this video is think about what properties
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