Find the image of each of the following points when reflected in the origin :

(i) (-5, 8)

(ii) (-6, -4)

(iii) (7, 4)

(iv) (9, 0)

(v) (0, 7)

(i) We know that,

Rule to find reflection of a point in origin :

When a point is reflected in the origin, sign of the x-coordinate and y-coordinate both changes.

∴ Point (5, -8) is the image on reflection.

Hence, (5, -8) is the image of the point (-5, 8) on reflection in origin.

(ii) We know that,

Rule to find reflection of a point in origin :

When a point is reflected in the origin, sign of the x-coordinate and y-coordinate both changes.

∴ Point (6, 4) is the image on reflection.

Hence, (6, 4) is the image of the point (-6, -4) on reflection in origin.

(iii) We know that,

Rule to find reflection of a point in origin :

When a point is reflected in the origin, sign of the x-coordinate and y-coordinate both changes.

∴ Point (-7, -4) is the image on reflection.

Hence, (-7, -4) is the image of the point (7, 4) on reflection in origin.

(iv) We know that,

Rule to find reflection of a point in origin :

When a point is reflected in the origin, sign of the x-coordinate and y-coordinate both changes.

∴ Point (-9, 0) is the image on reflection.

Hence, (-9, 0) is the image of the point (9, 0) on reflection in origin.

(v) We know that,

Rule to find reflection of a point in origin :

When a point is reflected in the origin, sign of the x-coordinate and y-coordinate both changes.

∴ Point (0, -7) is the image on reflection.

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