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To perform a 180-degree clockwise rotation of a point ((x, y)) around the origin in a Cartesian coordinate system, the formula is given by ((x', y') = (-x, -y)). This effectively inverts both the x and y coordinates, resulting in a point located directly opposite on the Cartesian plane.
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What is a 180 turn clockwise?
A 180-degree turn clockwise refers to rotating an object or position halfway around a circle in the clockwise direction. This means that if you start facing a certain direction, after the turn, you will be facing directly opposite that initial position. For example, if you begin facing north, a 180-degree clockwise turn will leave you facing south. This type of rotation is commonly used in various contexts, including navigation and sports.
180 degrees counterclockwise rotation?
Fomula(work with both clockwise/counterclockwise):(-x,-y)
What is the image of (1 -6) for a 180 degree counterclockwise rotation about the origin?
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).
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 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.
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 degree clockwise rotation goes from xy to -xy?
180 degrees in the plane perpendicular to the xy plane. In general, no rotation in the (x, y) plane will take it to (-x, y) unless x = y (or -y) and, in that case it is a 270 degree clockwise rotation.
What is a 180 turn clockwise?
A 180-degree turn clockwise refers to rotating an object or position halfway around a circle in the clockwise direction. This means that if you start facing a certain direction, after the turn, you will be facing directly opposite that initial position. For example, if you begin facing north, a 180-degree clockwise turn will leave you facing south. This type of rotation is commonly used in various contexts, including navigation and sports.
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).
Rule for 180 degree clockwise rotation?
To rotate a figure 180 degrees clockwise, you can achieve this by first reflecting the figure over the y-axis and then reflecting it over the x-axis. This double reflection effectively rotates the figure 180 degrees clockwise around the origin.
180 degrees counterclockwise rotation?
Fomula(work with both clockwise/counterclockwise):(-x,-y)
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 rule for a 180 degree counterclockwise rotation?
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).
What is the image of (1 -6) for a 180 degree counterclockwise rotation about the origin?
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).
How do you do 180 degree rotation of a shape on a coordinate?
(-e, -h)
