First of all, if the rotation is 180 degrees then there is no difference clockwise and anti-clockwise so the inclusion of clockwise in the question is redundant.
In terms of the coordinate plane, the signs of all coordinates are switched: from + to - and from - to +.
So
(2, 3) becomes (-2, -3),
(-2, 3) becomes (2, -3),
(2, -3) becomes (-2, 3) and
(-2, -3) becomes (2, 3).
Because 180 degrees clockwise is the same as 180 degrees counterclockwise.
A 180° rotation is half a rotation and it doesn't matter if it is clockwise of counter clockwise. When rotating 180° about the origin, the x-coordinate and y-coordinates change sign Thus (1, -6) → (-1, 6) after rotating 180° around the origin.
180 degrees
Oh, dude, it's like you just take the original coordinates and swap them around while changing the sign of one of them. So, for a 180-degree counterclockwise rotation, you just flip the signs of both x and y. Easy peasy lemon squeezy!
360 degrees would be one full rotation. 180 degrees would be a half rotation. 360+180=540 So it would be a rotation and a half.
To find the image of the point (1, -6) after a 180-degree counterclockwise rotation about the origin, you can use the rotation transformation. A 180-degree rotation changes the coordinates (x, y) to (-x, -y). Therefore, the image of the point (1, -6) is (-1, 6).
Because 180 degrees clockwise is the same as 180 degrees counterclockwise.
The rotation rule for a 180-degree counterclockwise rotation involves turning a point around the origin (0, 0) by half a circle. For any point (x, y), the new coordinates after this rotation become (-x, -y). This means that both the x and y coordinates are negated. For example, the point (3, 4) would rotate to (-3, -4).
Fomula(work with both clockwise/counterclockwise):(-x,-y)
The rule for a rotation by 180° about the origin is (x,y)→(−x,−y) .
A rotation of 180 degrees counterclockwise refers to turning a point or shape around a central point (such as the origin in a coordinate plane) by half a turn. This effectively moves each point to a position that is directly opposite its starting point. For example, if a point is at coordinates (x, y), after a 180-degree counterclockwise rotation, its new coordinates will be (-x, -y). This transformation maintains the shape and size but changes its orientation.
A 180° rotation is half a rotation and it doesn't matter if it is clockwise of counter clockwise. When rotating 180° about the origin, the x-coordinate and y-coordinates change sign Thus (1, -6) → (-1, 6) after rotating 180° around the origin.
(x, y) -> (-x, -y)
180 degrees
A 180 degree rotation between front and back is normal for US coins.
Oh, dude, it's like you just take the original coordinates and swap them around while changing the sign of one of them. So, for a 180-degree counterclockwise rotation, you just flip the signs of both x and y. Easy peasy lemon squeezy!
It is (-1, 6).Also, if the rotation is 180 degrees, then clockwise or anticlockwise are irrelevant.It is (-1, 6).