Consider the points A(−2,5),B(7,0),C(−4,−3) and D(0,8) on a Cartesian plane. Answer the following.
(i) For each point, state the quadrant in which it lies or the axis on which it is located. Give reasons for your answers.
(ii) Explain why the ordinate of B is zero and describe what this implies about its position.
(iii) Compare the positions of A and C with respect to their abscissae and ordinates, and describe the symmetry (if any) that you observe.
(iv) If a new point E has the same ordinate as D but its abscissa is the negative of the abscissa of B, write the coordinates of E and state its quadrant.