Clockwise means turning to your right, counterclockwise is to the left.
(x,y)-> (-y,x)
180 degrees.
Because 180 degrees clockwise is the same as 180 degrees counterclockwise.
90 degrees 90 degrees
90 degrees...
(x,y)-> (-y,x)
Yes, a 270-degree clockwise rotation is the same as a 90-degree counterclockwise rotation. When you rotate an object 270 degrees clockwise, you effectively move it 90 degrees in the opposite direction, which is counterclockwise. Both rotations will result in the same final orientation of the object.
180 degrees.
{1 0} {0 -1}
(-1, -4) rotated 90 degrees anticlockwise
The answer will depend on whether the rotation is clockwise or 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.
Uranus is the only planet tilted 90 degrees to the right
An equivalent transformation to rotating a figure 90 degrees counterclockwise can be achieved by reflecting the figure across the line (y = x) and then reflecting it across the x-axis. This combination of reflections results in the same final orientation as the 90-degree counterclockwise rotation.
The answer will depend on whether the rotation is clockwise or counterclockwise.
A 90-degree counterclockwise rotation involves turning an object or point 90 degrees to the left around a specified pivot point. For example, if you imagine a point on a Cartesian coordinate system, moving it 90 degrees counterclockwise would shift its position from, say, (1, 0) to (0, 1). This transformation effectively swaps the x and y coordinates and changes the sign of the new x-coordinate.
A) Rotate 360 degrees counterclockwise, then shift 1 unit up. B) Rotate 180 degrees counterclockwise, then shift 1 unit down. C)Rotate 90 degrees counterclockwise, then shift 1 unit up. D) Rotate 270 degrees counterclockwise, then shift 1 unit down.