Simplifying the Rotation Rule | Understanding 270 Degree Counterclockwise Rotations in Mathematics

Rotation rule for 270 degrees

The rotation rule for 270 degrees states that when a point or an object undergoes a rotation of 270 degrees counterclockwise around a fixed point, the new position of the point or the object can be determined by the following rules:

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The rotation rule for 270 degrees states that when a point or an object undergoes a rotation of 270 degrees counterclockwise around a fixed point, the new position of the point or the object can be determined by the following rules:

1. If the point or the object is in the coordinate plane, first identify the coordinates of the point or the object (x, y).
2. To rotate the point or the object 270 degrees counterclockwise, swap the x and y coordinates and change the sign of the new x coordinate.
– The new x-coordinate will be -y.
– The new y-coordinate will be x.

For example, let’s say we have a point P with coordinates (2, 3) in the coordinate plane. To rotate this point 270 degrees counterclockwise, we will use the rotation rule:

1. Identify the initial coordinates of the point: (x, y) = (2, 3)
2. Apply the rotation rule:
– The new x-coordinate will be -y = -(3) = -3.
– The new y-coordinate will be x = 2.
Therefore, the new coordinates of the point P after the rotation of 270 degrees counterclockwise are (-3, 2).

Note that in a coordinate plane, a counterclockwise rotation of 270 degrees is equivalent to a clockwise rotation of 90 degrees.

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