Mathematics
Grade-8
Easy

Question

If the point (4, 6) rotates 90° counter-clockwise, then the point will be

  1. (-6, 4)
  2. (6, 4)
  3. (4, -6)
  4. (-6, -4)

hintHint:

Rotate the given point through 90 degrees counter clockwise to obtain it's new coordinates.

The correct answer is: (-6, 4)


    Given Data:
    If the point (4, 6) rotates 90° counter-clockwise, then the point will be
    >>>Since, it is counter clockwise rotation angle of rotation becomes alpha= 90 degrees.
    >>point (x, y)= (4, 6)
    *New Coordinates are:
    = (x cosalpha - y sinalpha , y cosalpha + x sinalpha).
    = (4cos90 - 6sin90 , 6cos90 + 4sin90)
    = (-6 , 4).
    ***The rotation of the point (4, 6 ) through 90 degrees counter clockwise becomes (-6, 4).


    * In Mathematics, rotation means the Circular movement of an object around one fixed point.

    * In rotation, the image after transformation remains constant.

    * Hence, it is called as a rigid transformation.

    * No Change in shape and size.

    * The Shape rotates counter- clockwise when the degrees is positive and rotates clockwise when degrees is negative.

    *The Rotation of a point (x, y) about origin and through angle alpha, then:
    New coordinates of a point (x, y) after it's rotation becomes (x cosalpha - y sinalpha , y cosalpha + x sinalpha).

     

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