Four points A,B,C and D have the following coordinates:
A(3,4), B(−2,4), C(−2,−1) and D(3,−1).
(i) Plot the points on a single Cartesian plane and join them in the order A→B→C→D→A.
(ii) Prove that the figure ABCD you have obtained is a rectangle.
(iii) Calculate the area and the perimeter of the rectangle.
(iv) Find the length of the diagonal AC.
(v) State the quadrant in which each vertex lies.