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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.
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 }
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).
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.
What transformation is represented by the rule (x y) (y -x)?
It is an anticlockwise rotation through 90 degrees.
