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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).
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Why doesn't the direction of rotation clockwise and counterclockwise matter when the angle of rotation is 180?
Because 180 degrees clockwise is the same as 180 degrees counterclockwise.
What is the image of 1 -6 after a 180 degree counterclockwise rotation about the origin?
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.
What is the degree for a half of rotation?
180 degrees
What is the formula of 180 degree counterclockwise rotation?
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!
What does a 540 degree look like?
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.
