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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.
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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 rotation 90 degrees clockwise?
To rotate a point (x, y) 90 degrees clockwise around the origin, you transform the coordinates using the rule: (x, y) → (y, -x). This means the x-coordinate becomes the y-coordinate, and the y-coordinate becomes the negative of the original x-coordinate. For example, the point (2, 3) would rotate to (3, -2).
What is the algebraic rule for a figure that is rotated 270 clockwise about the origin?
When a figure is rotated 270 degrees clockwise about the origin, the algebraic rule for the transformation of a point ((x, y)) is given by ((x, y) \rightarrow (y, -x)). This means the x-coordinate takes the value of the y-coordinate, and the y-coordinate becomes the negative of the original x-coordinate.
What is a algebra mapping?
A mapping consists of two sets and a rule for assigning to each element in the first set one or more elements in the second set. We say that A is mapped to B and write this as m: A→B.
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 do you think the mapping rule is for a rotation of 270 degrees clockwise?
It is multiplication by the 2x2 matrix 0 1-1 0
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 rule represents a 270 clockwise rotation about the origin?
270 rule represent a 270 rotation to the left which is very easy
What is the rule for a counterclockwise rotation about the origin of 270?
A counterclockwise rotation of 270 degrees about the origin is equivalent to a clockwise rotation of 90 degrees. To apply this transformation to a point (x, y), you can use the rule: (x, y) transforms to (y, -x). This means that the x-coordinate becomes the y-coordinate, and the y-coordinate becomes the negative of the x-coordinate.
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 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 rule for rotation 90 degrees clockwise?
To rotate a point (x, y) 90 degrees clockwise around the origin, you transform the coordinates using the rule: (x, y) → (y, -x). This means the x-coordinate becomes the y-coordinate, and the y-coordinate becomes the negative of the original x-coordinate. For example, the point (2, 3) would rotate to (3, -2).
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).
Rule for 90 degrees counterclockwise rotation?
(x,y)-> (-y,x)
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 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.
