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The coords are (6, 1).
No, only their positions will change.
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).
depends on the centre of rotation if it's about the origin the x coord is multiplied by -1
the center of the figure at the origin
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.
270 rule represent a 270 rotation to the left which is very easy
Take any one point on the figure. Draw a line from it to the origin. At the origin measure an angle of 90 degrees (right angle) in a clockwise direction. Draw a line from the origin at this new angle and of the same length as the original angle. Repeat this process for the other points in the figure. NB Be careful, there will be numerous lines from the origin. At the end points of the new lines, connect up to reveal the origin figure ,but rotated 90 degrees - clockwise.
Move it 3 times* * * * *or once in the anti-clockwise direction.
It is (-1, 6).Also, if the rotation is 180 degrees, then clockwise or anticlockwise are irrelevant.It is (-1, 6).
The coords are (6, 1).
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.
(x; y) --> (x.cos45 + y.sin45; x.sin45 - y.cos45)
You dont, its just 90 degrees 3 times..
No, only their positions will change.
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
The rule for a rotation by 180° about the origin is (x,y)→(−x,−y) .