The points A(4,3), B(−2,3), C(−2,−5) and D(4,−5) are given on the Cartesian plane.
a. (i) Plot the points A, B, C and D accurately on a Cartesian plane.
b. (ii) State the quadrant or axis on which each point lies.
c. (iii) Join the points in the order A→B→C→D→A. Name the figure obtained.
d. (iv) Explain, using only the coordinates, why the opposite sides of the figure obtained in part (iii) are parallel to the coordinate axes.