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# Rotating points

CCSS.Math:

## Video transcript

we're told that point PU was rotated about the origin zero comma zero by sixty degrees which point is the image of P pause this video and see if you can figure that out alright now let's think about it it's being this is point P it's being rotated around the origin zero comma zero by sixty degrees so if originally point P is right over here and we're rotating by positive sixty degrees so that means we go counterclockwise by sixty degrees so this looks like about sixty degrees right over here one way to think about sixty degrees is that that's one-third of 180 degrees so does this look like one-third of 180 degrees remember 180 degrees would be almost a full line so that indeed does look like one-third of 180 degrees 60 degrees it gets us to Point C and it looks like it's the same distance from the origin we have just rotated by 60 degrees point D looks like it's more than 60 degree rotation so I won't go with that one all right let's do one more of these so we're told Point P was rotated by negative 90 degrees the center of rotation is indicated which point is the image of P so once again pause this video and try to think about it alright so we have our center of rotation this is our point P and we're rotating by negative 90 degrees so this means we are going clockwise so we're going in that direction and 90 degrees is easy to spot it's a right angle and so it would look like that and it looks like it is getting us right to right to point a so this is a negative 90 degree rotation right over here gets us to Point a