Question

Select the correct option about generalizing the rule for rotating a point (x,y) about the origin in the counterclockwise direction at a certain angle.

• A. For a rotation of 270°,
  $(x,y)\to (y,-x)$
• B. All the above statements are correct
• C. For a rotation of 180°,
  $(x,y)\to (-x,-y)$
• D. For a rotation of 90°,
  $(x,y)\to (-y,x)$

Answer 1

The correct option is B All the above statements are correct

If a figure is rotated 90° in the counterclockwise direction, then the value of ( x , y ) changes to ( -y , x ).


If a figure is rotated 180° in the counterclockwise direction, then the value of ( x , y ) changes to ( -x , -y ).


If a figure is rotated 270° in the counterclockwise direction, then the value of ( x , y ) changes to ( y , -x ).



So, all the statements are correct.

∴ Option (D) is correct.