If a rotation is about the origin of maps (4, -2) to (2, 4), then the angle of rotation is 90 degrees
The coordinates of the point before rotation = (4, -2)
The coordinates of the point after rotation = (2, 4)
The rotation of the point is the one form of transformation that changes the coordinates of the point or the position of the point. In rotation process the coordinates of the plane will change but the shape of the plane will not change
Here it is given that the rotation is about the origin.
The rule of rotation by 90 degrees about the origin is
(x, y) ⇒ (-y, x)
Here the rotation is (4, -2) ⇒ (2, 4)
Therefore, the angle of rotation is 90 degrees
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