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What is the image of 1 -6 for a 270 counterclockwise rotation about the origin?
To find the image of the point (1, -6) after a 270-degree counterclockwise rotation about the origin, we can use the rotation formula. A 270-degree counterclockwise rotation is equivalent to a 90-degree clockwise rotation. The coordinates transform as follows: (x, y) becomes (y, -x). Therefore, the image of (1, -6) is (-6, -1).
What is the rule for a 90 degree clockwise rotation about the vertex?
A 90-degree clockwise rotation about a vertex involves moving each point in the shape a quarter turn to the right around that vertex. For a point ((x, y)), the new coordinates after the rotation will be ((y, -x)) when considering rotation around the origin. If rotating around a different vertex, you first translate the shape so that the vertex becomes the origin, apply the rotation, and then translate back.
What are the coordinates of the point (1 and ndash6) after a counter clockwise rotation of 90 and deg about the origin?
The coords are (6, 1).
What is the formula of 180 degree clockwise rotation?
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.
How do you rotation 90degrees clockwise about the origin on a figure?
To rotate a point or figure 90 degrees clockwise about the origin, you can use the transformation formula: for a point (x, y), the new coordinates after rotation will be (y, -x). Apply this transformation to each vertex of the figure. After calculating the new coordinates for all points, plot them to visualize the rotated figure.
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 image of 1 -6 for a 270 counterclockwise rotation about the origin?
To find the image of the point (1, -6) after a 270-degree counterclockwise rotation about the origin, we can use the rotation formula. A 270-degree counterclockwise rotation is equivalent to a 90-degree clockwise rotation. The coordinates transform as follows: (x, y) becomes (y, -x). Therefore, the image of (1, -6) is (-6, -1).
What is the rule for a 90 degree clockwise rotation about the vertex?
A 90-degree clockwise rotation about a vertex involves moving each point in the shape a quarter turn to the right around that vertex. For a point ((x, y)), the new coordinates after the rotation will be ((y, -x)) when considering rotation around the origin. If rotating around a different vertex, you first translate the shape so that the vertex becomes the origin, apply the rotation, and then translate back.
What are the coordinates of the point (1 and ndash6) after a counter clockwise rotation of 90 and deg about the origin?
The coords are (6, 1).
What is the formula of 180 degree clockwise rotation?
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.
How do you rotation 90degrees clockwise about the origin on a figure?
To rotate a point or figure 90 degrees clockwise about the origin, you can use the transformation formula: for a point (x, y), the new coordinates after rotation will be (y, -x). Apply this transformation to each vertex of the figure. After calculating the new coordinates for all points, plot them to visualize the rotated figure.
What is the Rotation rule for 180 counter clockwise?
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).
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.
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).
What is the symbolic rule for a 45 degree rotation clockwise around the origin?
(x; y) --> (x.cos45 + y.sin45; x.sin45 - y.cos45)
What is the rule for a 270 degree counter clockwise rotation?
A 270-degree counterclockwise rotation around the origin in a Cartesian coordinate system transforms a point ((x, y)) to the new coordinates ((y, -x)). This means the x-coordinate becomes the y-coordinate, and the y-coordinate changes its sign and becomes the new x-coordinate. Essentially, it rotates the point three-quarters of the way around the origin.
What happens to the x- and y- coordinates when an object is rotated 90 degrees about the origin?
The answer depends on whether the rotation is clockwise or anti-clockwise.For anti-clockwise rotation (the standard direction of rotation),old x-coordinate becomes new y-coordinate,old y-coordinate becomes minus new x-coordinate
