Respuesta :

Answer : Rotation of a point through 180°, about the origin when a point X (3, 4) is rotated about the origin O through 180° in anticlockwise or clockwise direction, it takes the new position X' (-3, -4).

Answer with explanation:

Pre image= Coordinates of point X= (3,4)

When point ,(x,y) is rotated by an angle of 180°, then coordinates of image that is point (x,y) after rotation = (-x, -y)

⇒≡Coordinates of point X(3,4) after rotation by an angle of 180°=X'(-3,-4)