The endpoints of AB are A(-2, 1) and B(4, -3). Choose coordinates for point C so that C is on the perpendicular bisector of AB.
Point (3,2)
Point C(4,1)
Point C(-2,-3)
Point C(2,3)
If the coordinates of Care
, then A B = BC, and by the Converse of the Perpendicular Bisector
Theorem, C is on the perpendicular bisector of AB.

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