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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.
How many degrees has triangle ABC been rotated counterclockwise about the origin?
180 degrees.
Rule for 90 degrees counterclockwise rotation?
(x,y)-> (-y,x)
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 negative 270 degrees in radians?
-270 degrees = -4.7 radians.
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 a rotation of 270 Degrees clockwise?
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.
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.
How many degree in a three quarter rotation?
There are 270 degrees in 3/4 of a rotation
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 does 270 degrees counterclockwise about vertex A?
A rotation of 270 degrees counterclockwise about vertex A means that you would turn the point or shape around vertex A in a counterclockwise direction by three-quarters of a full circle. This results in a position that is equivalent to a 90-degree clockwise rotation. The new orientation will place points or vertices in a different location relative to vertex A, effectively shifting them to the left if visualized on a standard Cartesian plane.
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 image of (1-6) for a 270 counterclockwise rotation about the orgin?
It is (6, 1).
What is the image of (1 -6) for a 270 counterclockwise rotation about the origin?
It is (-6, -1).
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.
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.
How many degrees is three quarter rotation?
1 rotation = 360 degrees 3/4 rotation = 270 degrees
