The image of a vertex at (x, y) would be (-y, x).
Move it 3 times* * * * *or once in the anti-clockwise direction.
A reflex angle
You dont, its just 90 degrees 3 times..
A rotation of 270 degrees counterclockwise is a transformation that turns a figure around a fixed point by 270 degrees in the counterclockwise direction. This rotation can be visualized as a quarter turn in the counterclockwise direction. It is equivalent to rotating the figure three-fourths of a full revolution counterclockwise.
The effect of the rotation is the same as that of a 90 degree clockwise rotation. In matrix notation, it is equivalent to [post-]multiplication by the 2x2 matrix: { 0 1 } {-1 0 }
180 degrees in the plane perpendicular to the xy plane. In general, no rotation in the (x, y) plane will take it to (-x, y) unless x = y (or -y) and, in that case it is a 270 degree clockwise rotation.
270 rule represent a 270 rotation to the left which is very easy
There are 270 degrees in 3/4 of a rotation
(x,y) to (x,-y). You would keep the x the same, but turn the y negative. This is actually the rule for a 90 degree counterclockwise rotation, but they're the same thing, they would go to the same coordinates.
Both will end up on the same place. Using a compass rose as an example: 270 clockwise will point to the west. 90 counterclockwise will also point west.
Rotation of 270 degrees clockwise or 90 degrees counter clockwise
It is multiplication by the 2x2 matrix 0 1-1 0
You went 360o in the same direction, so you end up with a circle.
A measure of rotation MUST state whether it is clockwise or anti-clockwise. Unless the rotation is 0 degrees (ie no rotation) or 180 degrees (the two are the same). It must also specify the centre of rotation. Since you have not bothered to share these crucial bits of information, I cannot provide a more useful answer.
Point A has coordinates (x,y). Point B (Point A rotated 270°) has coordinates (y,-x). Point C (horizontal image of Point B) has coordinates (-y,-x).
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).