![]() So, let's just, instead of thinking of this in terms of rotating 270 degrees in the positive direction, in the counter-clockwise direction, let's think about, let's think about this, rotating this 90 degrees ![]() And 90 degree rotations are a little bit easier to think about. You see that that is equivalent, that is equivalent to a 90 degrees, to a 90 degrees clockwise rotation, or a negative 90 degree rotation. ![]() We're going in aĬounter-clockwise direction. If you imagine a point right over here this would be 90 degrees, 180, and then that is 270 degrees. Negative 270 degree rotation, but if we're talking aboutĪ 270 degree rotation. In the previous video when we were rotating around the origin, if you rotate something by, last time we talked about a So, to help us think about that I've copied and pasted this on my scratch pad and we can draw through it and the first thing that we might wanna think about is if you rotate, I've talked about this So, this would be 270 degrees in the counter-clockwise direction. ![]() The direction of rotation by a positive angle is counter-clockwise. We have this little interactive graph tool where we can draw points or if we wanna put them in the trash we can put them there. Triangle SAM, S-A-M, and this is one over here, S-A-M, is rotated 270 degrees, about the point four comma negative two. But it's easy to calibrate it if you want to specify another point, around which you want to rotate - just make that point the new origin! Figure out the other points' coordinates with respect to your new origin, do the transformations, and then translate everything back to coordinates with respect to the old origin. Now, since (a, b) are coordinates with respect to the origin, this only works if we rotate around that point. Rotating (a, b) 360° would result in the same (a, b), of course. Because the axes of the Cartesian plane are themselves at right angles, the coordinates of the image points are easily predictable: with a bit of experimentation, you could easily 'prove' to yourself that rotating (a, b) 90° would result in (-b, a) rotation of 180° gives us (-a, -b) and one of 270° would bring us to (b, -a). how wide should the garden be? What has 2 acute 2 obtuse angles and 5 sides? A group of students are finding the perimeters of rectangles whose lengths and widths are whole numbers they notice that all the perimeters are not even numbers is this always true? If an angle is obtuse then it has a measure of 120 degrees? What do the angles in a kite add up to? If a regular polygon has an interior angle of 157.Here's my idea about doing this in a bit more 'mathematical' way: every rotation I've seen until now (in the '.about arbitrary point' exercise) has been of a multiple of 90°. Trending Questions Two lines intersect in a? If 0 1 1 1 2 2 3 6 then 5? The sum of the first two angles of a triangle are twice the measure of the third angle The first angle is half of the second angle What are the three angles? What size rug round should I get for a 36 inch dining table? Are all scalene triangles acute triangles? Carl wants to plant a garden that is 1 12 yards long and has an areaof 3 12 square yards.
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