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A rotation of 270 degrees clockwise is equivalent to a rotation of 90 degrees counterclockwise. In a Cartesian coordinate system, this means that a point originally at (x, y) will move to (y, -x) after the rotation. Essentially, it shifts the point three-quarters of the way around the origin in the clockwise direction.
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Is a 270 clockwise rotation the same as a 90 degree counterclockwise rotation?
Yes, a 270-degree clockwise rotation is the same as a 90-degree counterclockwise rotation. When you rotate an object 270 degrees clockwise, you effectively move it 90 degrees in the opposite direction, which is counterclockwise. Both rotations will result in the same final orientation of the object.
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 clockwise rotation produces the same image as a counterclockwise rotation of 220 degrees?
A counterclockwise rotation of 220 degrees can be converted to a clockwise rotation by subtracting it from 360 degrees. Thus, 360 - 220 = 140 degrees. Therefore, a clockwise rotation of 140 degrees produces the same image as a counterclockwise rotation of 220 degrees.
What is the image of point 3 5 if rotation is -270?
To find the image of the point (3, 5) after a rotation of -270 degrees (which is equivalent to a 90-degree rotation clockwise), you can use the rotation formula. The new coordinates will be (y, -x), resulting in the point (5, -3). Thus, the image of the point (3, 5) after a -270-degree rotation is (5, -3).
How much is 3 quarter clockwise?
3 quarters clockwise is 270 degrees clockwise or 90 degrees anti(counter)-clocwise
What transformation could make an arrow pointing east become an arrow poiting north?
Rotation of 270 degrees clockwise or 90 degrees counter clockwise
What rule represents a 270 clockwise rotation about the origin?
270 rule represent a 270 rotation to the left which is very easy
How many degree in a three quarter rotation?
There are 270 degrees in 3/4 of a rotation
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
What is the image of a point 4 3 if the rotation is 270 degrees?
A measure of rotation MUST state whether it is clockwise or anti-clockwise. Unless the rotation is 0 degrees (ie no rotation) or 180 degrees (the two are the same). It must also specify the centre of rotation. Since you have not bothered to share these crucial bits of information, I cannot provide a more useful answer.
What degree clockwise rotation goes from xy to -xy?
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.
How many degrees is three quarter rotation?
1 rotation = 360 degrees 3/4 rotation = 270 degrees
How much is 3 quarter clockwise?
3 quarters clockwise is 270 degrees clockwise or 90 degrees anti(counter)-clocwise
How many degrees in a three-quarter rotation?
270 degrees
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.
Is a 270 clockwise rotation is the same as a 90 counterclockwise rotation?
Both will end up on the same place. Using a compass rose as an example: 270 clockwise will point to the west. 90 counterclockwise will also point west.
Why doesn't the direction of rotation clockwise and counterclockwise matter when the angle of rotation is 180?
Because 180 degrees clockwise is the same as 180 degrees counterclockwise.
