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A rotation of 90 degrees counterclockwise is a transformation that turns a point or shape around a fixed point (usually the origin in a coordinate plane) by a quarter turn in the opposite direction of the clock's hands. For a point with coordinates (x, y), this rotation results in new coordinates (-y, x). This type of rotation is commonly used in geometry and computer graphics to manipulate shapes and objects.
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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 image of the point (43) if the rotation is 90 degrees?
The answer will depend on whether the rotation is clockwise or counterclockwise.
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.
How do you get an ordered pair of 90 degrees?
Assume we want to find the ordered pair after 90° counterclockwise rotation. From (x,y), we have (-y,x). If we want to find the ordered pair after 90° clockwise rotation, then from (x,y) we have (y, -x)
Which transformation will be equivalent to rotating a figure 90 counterclockwise?
An equivalent transformation to rotating a figure 90 degrees counterclockwise can be achieved by reflecting the figure across the line (y = x) and then reflecting it across the x-axis. This combination of reflections results in the same final orientation as the 90-degree counterclockwise rotation.
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 image of the point (43) if the rotation is 90 degrees?
The answer will depend on whether the rotation is clockwise or counterclockwise.
Rule for 90 degrees counterclockwise rotation?
(x,y)-> (-y,x)
What is the image of point (-1-2) if the rotation is 90 degrees?
The answer will depend on whether the rotation is clockwise or counterclockwise.
What is one fourth of a rotation going counterclockwise?
1/4 of 360 degrees = 90 degrees which is a right angle
What is the image of 1 -6 for a 90 counterclockwise rotation about the origin?
(-1, -4) rotated 90 degrees anticlockwise
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.
How do you rotate a triangle 90 degrees counterclockwise?
Rotating a triangle 90 degrees counterclockwise would involve taking an upright triangle and laying is toward the left on its back. Changing position through rotation can cause a better visualization for some problem solving.
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 do you get an ordered pair of 90 degrees?
Assume we want to find the ordered pair after 90° counterclockwise rotation. From (x,y), we have (-y,x). If we want to find the ordered pair after 90° clockwise rotation, then from (x,y) we have (y, -x)
Which transformation will be equivalent to rotating a figure 90 counterclockwise?
An equivalent transformation to rotating a figure 90 degrees counterclockwise can be achieved by reflecting the figure across the line (y = x) and then reflecting it across the x-axis. This combination of reflections results in the same final orientation as the 90-degree counterclockwise rotation.
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.
