A 90-degree counterclockwise rotation can be achieved by swapping the x and y coordinates and negating the new x-coordinate. For a point (x, y), the new coordinates after a 90-degree counterclockwise rotation would be (-y, x). This transformation is commonly used in geometry and computer graphics to rotate objects around a fixed point.
You went 360o in the same direction, so you end up with a circle.
Rotation preserves shape - therefore the angle before the rotation equals the angle after the rotation.
A 90 degree rotation is a quarter of a turn.
Assume we want to find the ordered pair after 90° counterclockwise rotation. From (x,y), we have (-y,x). If we want to find the ordered pair after 90° clockwise rotation, then from (x,y) we have (y, -x)
The answer will depend on whether the rotation is clockwise or counterclockwise.
You went 360o in the same direction, so you end up with a circle.
Rotation preserves shape - therefore the angle before the rotation equals the angle after the 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.
A 90 degree rotation is a quarter of a turn.
Assume we want to find the ordered pair after 90° counterclockwise rotation. From (x,y), we have (-y,x). If we want to find the ordered pair after 90° clockwise rotation, then from (x,y) we have (y, -x)
The answer will depend on whether the rotation is clockwise or counterclockwise.
The answer will depend on whether the rotation is clockwise or counterclockwise.
(x,y)-> (-y,x)
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.
It is (-1, 6).
(-1, -4) rotated 90 degrees anticlockwise
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