(a) Using a scale of 2cm to 2units on both axes, draw on a sheet of graph paper two perpendicular axes 0x and 0y for – 10 (leq) x (leq) 10 and -10 (leq) y (leq)10
(b) Given the points P(3, 2). Q(-1. 5). R(0. 8) and S(3, 7). draw on the same graph, indicating clearly the vertices and their coordinates, the:
(i) quadrilateral PQRS;
(ii) image P(_1)Q(_1)R(_1)S(_1) of PQRS under an anticlockwise rotation of 90(^o) about the origin where P (to) P(_1), Q (to) Q(_{1}), R (to) R(_{1}) and S (to) S(_{1})
(iii) image P(_2)Q(_2)R(_2)S(_2) of P(_1)Q(_1)R(_1)S(_1) under a reflection in the line y – x = 0 where P(_1) (to) P(_2), Q(_1) (to) Q(_{2}), R(_1) (to) R(_{2}) and S(_1) (to) S(_{2})
(c) Describe precisely the single transformation T for which T : PQRS (to) P(_2)Q(_2)R(_2)S(_2)
(d) The side P(_1)Q(_1) of the quadrilateral P(_1)Q(_1)R(_1)S(_1) cuts the x-axis at the point W. What type of quadrilateral is P(_1)S(_1)R(_1)W?