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The coords are (6, 1).
depends on the centre of rotation if it's about the origin the x coord is multiplied by -1
yup.
All rotations, other than those of 180 degrees should be further qualified as being clockwise or counter-clockwise. This one is not and I am assuming that the direction of rotation is the same as measurement of polar angles. Also, a rotation is not properly defined unless the centre of rotation is specified. I am assuming that the centre of rotation is the origin. Without these two assumptions any point in the plane can be the image. With the assumptions, for which there is no valid reason, the image is (3, -4).
im studding that in a.p history!!
A 180° rotation is half a rotation and it doesn't matter if it is clockwise of counter clockwise. When rotating 180° about the origin, the x-coordinate and y-coordinates change sign Thus (1, -6) → (-1, 6) after rotating 180° around the origin.
The coords are (6, 1).
(x; y) --> (x.cos45 + y.sin45; x.sin45 - y.cos45)
The answer depends on whether the rotation is clockwise or anti-clockwise.For anti-clockwise rotation (the standard direction of rotation),old x-coordinate becomes new y-coordinate,old y-coordinate becomes minus new x-coordinate
To rotate a figure 180 degrees clockwise about the origin you need to take all of the coordinates of the figure and change the sign of the x-coordinates to the opposite sign(positive to negative or negative to positive). You then do the same with the y-coordinates and plot the resulting coordinates to get your rotated figure.
270 rule represent a 270 rotation to the left which is very easy
That would depend on its original coordinates and in which direction clockwise or anti clockwise of which information has not been given.
The coordinates of the given 90 degree (Counter-clockwise) about the origin from the given vertices J(-2,1), K(-1,4), L(3,4), M(3,1) will be: J(-2,1): (-2, -2) K(-1,4): (-4, -1) L(3,4): (4, 3) M(3,1): (1, 3)
It is (-1, 6).Also, if the rotation is 180 degrees, then clockwise or anticlockwise are irrelevant.It is (-1, 6).
Rotating it about the origin 180° (either way, it's half a turn) will transform a point with coordinates (x, y) to that with coordinates (-x, -y) Thus (2, 5) → (-2, -5)
The point with coordinates (p, q) will be rotated to the point with coordinates [(p - q)/sqrt(2), (p + q)/sqrt(2)].
If B was (x, y) then B' is (-y, x).