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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.
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What is the rule for a 90 degree counter clockwise rotation?
A 90-degree counterclockwise rotation transforms a point ((x, y)) in the coordinate plane to the new point ((-y, x)). This means that the x-coordinate becomes the negative of the original y-coordinate, and the y-coordinate becomes the original x-coordinate. This rotation effectively moves the point around the origin in a counterclockwise direction by a quarter turn.
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.
How do you Rotate a figure 90 degrees clockwise to get 5 5 on a corridinate grid?
To rotate a figure 90 degrees clockwise around the origin on a coordinate grid, you can use the transformation rule: (x, y) becomes (y, -x). For the point (5, 5), applying this rule results in (5, -5). Therefore, after a 90-degree clockwise rotation, the new coordinates of the point are (5, -5).
What is the mapping rule for a rotation of 270 degrees clockwise?
The mapping rule for a rotation of 270 degrees clockwise around the origin can be expressed as (x, y) → (y, -x). This means that the x-coordinate becomes the y-coordinate, and the y-coordinate becomes the negative of the x-coordinate. Essentially, the point is rotated three-quarters of a full turn in the clockwise direction.
What is the rule for a 180 degree counterclockwise rotation about the origin?
A 180-degree counterclockwise rotation about the origin transforms a point ((x, y)) into ((-x, -y)). This means that both the x-coordinate and y-coordinate of the point are negated. Essentially, the point is reflected through the origin.
What is the rule for 270 degree counter clockwise rotation?
The effect of the rotation is the same as that of a 90 degree clockwise rotation. In matrix notation, it is equivalent to [post-]multiplication by the 2x2 matrix: { 0 1 } {-1 0 }
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 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 90 degree clockwise rotation?
we swap the co-ordinates and give the new y co-ordinate the opposite sign.90 degrees clockwise(y, -x)
What is the rule for a 270 degree clockwise rotation?
(x,y) to (x,-y). You would keep the x the same, but turn the y negative. This is actually the rule for a 90 degree counterclockwise rotation, but they're the same thing, they would go to the same coordinates.
What is the rule for a 90 degree counter clockwise rotation?
A 90-degree counterclockwise rotation transforms a point ((x, y)) in the coordinate plane to the new point ((-y, x)). This means that the x-coordinate becomes the negative of the original y-coordinate, and the y-coordinate becomes the original x-coordinate. This rotation effectively moves the point around the origin in a counterclockwise direction by a quarter turn.
What rule represents a 270 clockwise rotation about the origin?
270 rule represent a 270 rotation to the left which is very easy
How do you find 270 degree clockwise rotation?
(x,y) to (x,-y). You would keep the x the same, but turn the y negative. This is actually the rule for a 90 degree counterclockwise rotation, but they're the same thing, they would go to the same coordinates.
What is the rule for a 90 degree rotation?
plz awnser this
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.
How do you Rotate a figure 90 degrees clockwise to get 5 5 on a corridinate grid?
To rotate a figure 90 degrees clockwise around the origin on a coordinate grid, you can use the transformation rule: (x, y) becomes (y, -x). For the point (5, 5), applying this rule results in (5, -5). Therefore, after a 90-degree clockwise rotation, the new coordinates of the point are (5, -5).
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).
