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The answer will depend on whether the rotation is clockwise or counterclockwise.
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)
Fomula(work with both clockwise/counterclockwise):(-x,-y)
Rotation preserves shape - therefore the angle before the rotation equals the angle after the rotation.
You went 360o in the same direction, so you end up with a circle.
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)
1/4 of 360 degrees = 90 degrees which is a right angle
(-1, -4) rotated 90 degrees anticlockwise
Because 180 degrees clockwise is the same as 180 degrees counterclockwise.
Rotating a triangle 90 degrees counterclockwise would involve taking an upright triangle and laying is toward the left on its back. Changing position through rotation can cause a better visualization for some problem solving.
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)
Fomula(work with both clockwise/counterclockwise):(-x,-y)
Clockwise means turning to your right, counterclockwise is to the left.
Rotation preserves shape - therefore the angle before the rotation equals the angle after the rotation.
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.