The diagram below shows a square ABCD drawn on a square grid with sides of 1 unit. P, Q,R, S,T are 5 points that move in the square ABCD. Using the letters in the diagram, state the locus of point a) P moving equidistantly from points A and D
b) Q moving equidistantly from points B and D
c) R moving such that it is always 4 units from the line BC
d) S moving equidistantly from straight lines AB and BC
e) T moving such that it is always 4 units from the line EG