Question

State & prove the perpendicular bisector theorem​

Answer 1

The Perpendicular Bisector Theorem states that if a point lies on the perpendicular bisector of a segment, it is equidistant from the endpoints of the bisected segment. Hence, as Figure 3 shows, since point F lies on perpendicular bisector FD, point F is equidistant from points A and C; therefore, FA = FC.

Answer 2

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The Perpendicular Bisector Theorem states that if a point lies on the perpendicular bisector of a segment, it is equidistant from the endpoints of the bisected segment. Hence, as Figure 3 shows, since point F lies on perpendicular bisector FD, point F is equidistant from points A and C; therefore, FA = FC.