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.
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.
Fomula(work with both clockwise/counterclockwise):(-x,-y)
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).
(-e, -h)
180 degrees is half a rotation so probably a half.
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 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.
Because 180 degrees clockwise is the same as 180 degrees counterclockwise.
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.
It is (-1, 6).Also, if the rotation is 180 degrees, then clockwise or anticlockwise are irrelevant.It is (-1, 6).
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.
Fomula(work with both clockwise/counterclockwise):(-x,-y)
180 degrees
A 180 degree rotation between front and back is normal for US coins.
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).
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).
(-e, -h)