PerpendicularBisector

PerpendicularBisector[{p₁,p₂}]

gives the perpendicular bisector of the line segment connecting p₁ and p₂.

PerpendicularBisector[Line[{p₁,p₂}]]

gives the perpendicular bisector of a line segment.

Details

PerpendicularBisector gives an InfiniteLine object.
The p_i in PerpendicularBisector[{p₁,p₂}] can be lists of coordinates or explicit Point objects.
PerpendicularBisector[Line[{p₁,p₂}]] is equivalent to PerpendicularBisector[{p₁,p₂}].
PerpendicularBisector gives the line that divides the line segment into two equal segments and that intersects the segment at right angles.

PerpendicularBisector only works in 2D.
PerpendicularBisector can be used with symbolic points in GeometricScene.

Examples

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Basic Examples (1)

Calculate the perpendicular bisector of a line segment:

Properties & Relations (2)

The PerpendicularBisector is perpendicular to the line segment and passes through the Midpoint:

TriangleConstruct[{a,b,c},"PerpendicularBisector"] is equivalent to PerpendicularBisector[{a,c}]:

Possible Issues (1)

PerpendicularBisector only works in 2D:

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