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what is the image of the polygon below after the rotation so this is a transformation its rotational transformation of 270 degrees so what we and and when they talk about a rotational transformation at least in the context of this exercise we're talking about a rotation around the origin so around this point so the way I like to think about it is pick one of these points one of these orange points and essentially rotate it around the origin 270 degrees so let's do that so this would be rotating it and and when we talk about positive angles we're talking about going in the counterclockwise directions the same way that we typically measure angles when we're doing trigonometry with the unit circle and things like that so here so we started here and let's rotate 90 degrees then we could keep rotating rotate another 90 degrees so we've rotated a total of 180 degrees and then we rotate 90 more degrees to get to 270 let's do a couple more of these what is the transformation that rotates the blue the blue solid shape to the orange dashed shape now this one's a little bit we don't have we don't have the manipulative here to help us answer that question so this is really going to challenge challenge our powers of visualization so the main thing is to pick a point on the blue shape and see where does it end up on the orange dash shape and I'll pick this point right over here because you can see it's kind of pointing straight in that it's pointing straight to the top left and then when you go onto the orange dash shape it's pointing to the bottom right so this one went all the way around so you could say it went it was pointing from this direction and went all the way to going in the exact opposite direction and so this was a 180 degree transformation 180 degree rotation let's do a few more so what's the image of the polygon so they want to do another 270 degree rotation so like before so let's rotate let's rotate this 3/4 of the way around so let's see how we can do that so right now so this is going to be a little bit trickier so if we actually I'm going to pick this point because it's easier to visualize the 270 degrees so now we've done 90 degrees now we can do 180 degrees and now we've done 270 degrees