A point P is reflected in the origin. Coordinates of its image are (2, -5). Find

(i) the coordinates of P.

(ii) the coordinates of the image of P in the x-axis.

(i) Since, (2, -5) is the image of P under reflection in origin, let this point be P' so from graph we get,

The coordinates of P are (-2, 5).

(ii) We know that,

Rule to find reflection of a point in x-axis :

1. Retain the abscissa i.e. x-coordinate.
2. Change the sign of ordinate i.e. y-coordinate.

∴ Point P''(-2, -5) is the image on reflection.

Hence, P''(-2, -5) is the image of the point P(-2, 5) on reflection in x-axis.