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# What is the perpendicular bisector equation of the line segment whose end points are at -2 4 and -4 8 on the Cartesian plane?

Top Answer

###### Wiki User

###### June 21, 2017 11:45AM

End points: (-2, 4) and (-4, 8)

Midpoint: (-3, 6)

Slope: -2

Perpendicular slope: 1/2

Perpendicular bisector equation: y -6 = 1/2(x--3) => y = 0.5x+7.5

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### State the Perpendicular Bisector Theorem and its converse as a biconditional?

Biconditional Statement for:
Perpendicular Bisector Theorem: A point is equidistant if and
only if the point is on the perpendicular bisector of a
segment.
Converse of the Perpendicular Bisector Theorem: A point is on
the perpendicular bisector of the segment if and only if the point
is equidistant from the endpoints of a segment.