Given: the image of a point P(2,3) under reflection in the origin is P′(x,y).
We know when a point is reflected in the origin, the sign of its ordinate and abscissa changes.
[1 Mark]
Hence, the coordinates of the image of point P(2,3) under reflection in the origin are P′(−2,−3).
[1 Mark]
Thus, x=−2 and y=−3.
[1 Mark]