Find the coordinates of the images of the following points under reflection in the origin :

(i) (2, -5)

(ii) $\Big(-\dfrac{3}{2}, -\dfrac{1}{2}\Big)$

(iii) (0, 0).

(i) We know that,

Rules to find the reflection of a point in the origin :

1. Change the sign of 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, (-2, 5) is the image of the point (2, -5) on reflection in origin.

(ii) We know that,

Rules to find the reflection of a point in the origin :

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

∴ Point P'$(\dfrac{3}{2}, \dfrac{1}{2})$ is the image on reflection.

Hence, $(\dfrac{3}{2}, \dfrac{1}{2})$ is the image of the point $(-\dfrac{3}{2}, -\dfrac{1}{2})$ on reflection in origin.

(iii) We know that,

Rules to find the reflection of a point in the origin :

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

∴ Point P'(0, 0) is the image on reflection.

Hence, (0, 0) is the image of the point (0, 0) on reflection in origin.