v (North in knis R2 12 B(2,10) 6.5 R3 C ( 2.3 ) . A(8,2) 10 x (East) in kms Diagram is not drawn to scale. Springfield is rectangular in shape with three schools A, B and C as shown above. (a) Find the equation of the perpendicular bisector of [AB]. Give your equation in the form of y = mx + c . [5] (b) Explain the significance of the equation in (a) with respect to the distance to schools A and B. [1] (c) Copy the diagram above and shade the boundaries of all points in Springfield that are closest to school B. [2] Children in Springfield attend the school that is closest to them. Matias lives in a residential complex at (7,7). (d) Find Matias' school. [2] Children in Daisy Tower in Springfield can choose to go to all three schools. (e) Find the location of Daisy Tower. [3] Roads were constructed along these perpendicular bisectors. Road R1 is the perpendicular bisector of [AB]. Road R2 and Road R3 are shown below. L1 is a lane that links school A to R2 with the shortest distance and L2 links school B to R3 with the shortest distance. L3 links school C to R1 with the shortest distance but is not shown below