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(x, y)-----> (-x, -y)
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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 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.
How do you rotate a figure 180 degrees counterclockwise around the origin?
For every point A = (x,y) in your figure, a 180 degree counterclockwise rotation about the origin will result in a point A' = (x', y') where: x' = x * cos(180) - y * sin(180) y' = x * sin(180) + y * cos(180) Happy-fun time fact: This is equivalent to using a rotation matrix from Linear Algebra! Because a rotation is an isometry, you only have to rotate each vertex of a polygon, and then connect the respective rotated vertices to get the rotated polygon. You can rotate a closed curve as well, but you must figure out a way to rotate the infinite number of points in the curve. We are able to do this with straight lines above due to the property of isometries, which preserves distances between points.
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.
180 degrees counterclockwise rotation?
Fomula(work with both clockwise/counterclockwise):(-x,-y)
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 value of a 1971 Kennedy half dollar with a 180 degree rotation?
A 180 degree rotation between front and back is normal for US coins.
what is the image of the point (-2,7) after a rotation of 180 counterclockwise about the origin?
The rule for a rotation by 180° about the origin is (x,y)→(−x,−y) .
What is the image of (1 -6) for a 180 counterclockwise rotation about the origin?
It is (-1, 6).Also, if the rotation is 180 degrees, then clockwise or anticlockwise are irrelevant.It is (-1, 6).
How do you do 180 degree rotation of a shape on a coordinate?
(-e, -h)
What fraction is equivalent to a 180 degree turn?
180 degrees is half a rotation so probably a half.
What is the formula of the rotation of 180 degrees?
(x, y)-----> (-x, -y)
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.
Which is the image of ABC for a 180 and deg counterclockwise rotation about P?
To find the image of ABC for a 180-degree counterclockwise rotation about point P, we would reflect each point of the triangle across the line passing through P. The resulting image of ABC would be a congruent triangle with its vertices in opposite positions relative to the original triangle.
