The diagram below shows the points P(0; 2) and Q(4; 0). Point A is the midpoint of PQ. Line AB is
perpendicular to PQ and intersects the x-axis at G and the y-axis at B.
1.1. Show that the gradient of PQ is-
1.2.
Determine the coordinates of A.
1.3.
Determine the equation of the line AB.
1.4.
Calculate the length of BQ
1.5.
Show that 4BPO is isosceles.
1.6.
If PBQR is a rhombus, determine the coordinates of R.