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The formula for a rotation of 270 degrees (or -90 degrees) around the origin in a Cartesian coordinate system is given by the transformation: ( (x, y) \rightarrow (y, -x) ). This means that the new x-coordinate becomes the original y-coordinate, and the new y-coordinate becomes the negative of the original x-coordinate. This transformation effectively rotates the point counterclockwise by 270 degrees.
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How many degrees in a three-quarter rotation?
270 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).
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 image of point (35) if rotation is -270 degrees?
To find the image of the point (35) after a rotation of -270 degrees, we first convert the angle to a positive equivalent by adding 360 degrees, resulting in a rotation of 90 degrees. Rotating the point (35) about the origin by 90 degrees counterclockwise transforms it to (-5, 3). Therefore, the image of the point (35) after the rotation is (-5, 3).
How many degree in a three quarter rotation?
There are 270 degrees in 3/4 of a rotation
How many degrees is three quarter rotation?
1 rotation = 360 degrees 3/4 rotation = 270 degrees
How many degrees in a three-quarter rotation?
270 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).
What is three fourths of a rotation?
3/4 of a rotation or a turn is 270 degrees
What is the image of point (35) if the rotation is -270 degrees?
305
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 image of point 3 5 if the rotation is -270 degrees?
(-5,3)
What is the image of point (35) if rotation is -270 degrees?
To find the image of the point (35) after a rotation of -270 degrees, we first convert the angle to a positive equivalent by adding 360 degrees, resulting in a rotation of 90 degrees. Rotating the point (35) about the origin by 90 degrees counterclockwise transforms it to (-5, 3). Therefore, the image of the point (35) after the rotation is (-5, 3).
When a square is rotated 90 around its centre it rotates onto itself. A. Wat other angles of rotation less than 360 have the same result?
In addition to a 90-degree rotation, a square will also map onto itself with rotations of 180 degrees and 270 degrees around its center. A 180-degree rotation flips the square upside down, while a 270-degree rotation is equivalent to a 90-degree rotation in the opposite direction. Therefore, the angles of rotation less than 360 degrees that result in the square mapping onto itself are 90 degrees, 180 degrees, and 270 degrees.
Is a quarter rotation the same as 270 degrees?
A quarter turn is 90 degrees. A half turn is 180 degrees. A three quarter turn is 270 degrees. A full circle is 360 degrees. So the answer to the above question is NO.
