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Four villages are located at A(2,2), B(8,2), C(8,6), D(2,9). The perpendicular bisectors of every pair of villages have been drawn on a map. A toxic waste dump is to be constructed between the villages. Two candidate dump sites are the vertices P(5, 4) and Q(4, 5.5).
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Write down the equation of the perpendicular bisector [BC].
For each site P and Q:
Calculate the distance between the site and the closest village.
Hence decide which site is safer for the toxic-waste dump and justify your decision.
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