To rotate a point (90°, 180°) counterclockwise about the origin, multiply the y -coordinate by -1 and then interchange, the x - and y -coordinates.

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To rotate a point 90° counterclockwise about the origin, multiply the y -coordinate by -1 and then interchange,    the x - and y -coordinates are    (x,y) -> (-y,x)

What does the term "coordinates" mean?

  • Coordinates are numerical lengths or angles that uniquely identify locations on two-dimensional (2D) surfaces or in three-dimensional (3D) space ( 3D ).
  • There are various coordinate systems that mathematicians, physicists, and engineers frequently utilize.

Rotation of 90° counter-clockwise about origin-

Think about the location (X, Y). You may always swap the x- and y-coordinates and then multiply the new x-coordinate by -1 in order to rotate this point by 90 degrees around the origin in the opposite manner.

This would be expressed mathematically as follows

(x ,y)    →    ( -y ,x)

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