(-1, -4) rotated 90 degrees anticlockwise
If B was (x, y) then B' is (-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.
{1 0} {0 -1}
Conventionally positive angles are measured anticlockwise. It depends where the centre of rotation is, so where would you like the image to be? If the centre is at, say, (3, 5) then the image will be at (3, 5) regardless of the angle of rotation. If the centre is at, say, (3, 3) then the image will be at (5, 3) If the centre is at, say, the origin, ie (0, 0) then the image will be at (5, -3).
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.
It is (-1, 6).
To find the image of the point (4, 3) after a 90-degree rotation counterclockwise about the origin, you can use the transformation formula for rotation. The new coordinates will be (-y, x), which means the image of the point (4, 3) will be (-3, 4).
The rule for a rotation by 180° about the origin is (x,y)→(−x,−y) .
The answer will depend on whether the rotation is clockwise or counterclockwise.
The answer will depend on whether the rotation is clockwise or counterclockwise.
The answer depends on the location of A and C. Without that information the question cannot be answered.
If B was (x, y) then B' is (-y, x).
false
A counterclockwise rotation of 270 degrees about the origin is equivalent to a clockwise rotation of 90 degrees. To apply this transformation to a point (x, y), you can use the rule: (x, y) transforms to (y, -x). This means that the x-coordinate becomes the y-coordinate, and the y-coordinate becomes the negative of the x-coordinate.
Rotation preserves shape - therefore the angle before the rotation equals the angle after the rotation.
(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.