Find the coordinates of the images of the following points under reflection in the x-axis :

(i) (2, -5)

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

(iii) (-7, 0).

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

(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'$\Big(-\dfrac{3}{2}, \dfrac{1}{2}\Big)$ is the image on reflection.

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

(iii) 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'(-7, 0) is the image on reflection.

Hence, (-7, 0) is the image of the point (-7, 0) on reflection in x-axis.