Find the coordinates of the image of the point (5,−3) under (i) reflection in the x- axis (ii) reflection in the y- axis and (iii) reflection in the origin.
(i)(5,3)(ii)(−5,−3),(iii)(−5,3)
i) When a point is reflected in the x axis, the sign of its ordinate changes. Hence, the coordinates are (5,3).
ii) When a point is reflected in the y axis, the sign of its abscissa changes. Hence, the coordinates are (−5,−3).
iii) When a point is reflected in the origin, the sign of its ordinate and abscissa both changes. Hence, the coordinates are (−5,3).