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Yes - the altitude of an equilateral triangle is perpendicular to the side chosen as the base and bisects that side and the opposite angle.

Also, the altitude of an isosceles triangle when measured from the third side (the side that is not equal to the other two sides) is a perpendicular bisector of the base and also bisects the opposite angle.

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Q: Can an altitude be a perpendicular bisector?

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The Perpendicular bisector concurrency conjecture is the circumcenter

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.

The perpendicular bisector of a line segment AB is the straight line perpendicular to AB through the midpoint of AB.

Equilateral triangles

Perpendicular Bisector

Related questions

No.

Yes.

A circle cannot form a perpendicular bisector.

An angle bisector bisects an angle. A perpendicular bisector bisects a side.

on the perpendicular bisector

Yes, provided that the base is not one of the 2 equal sides. And it's also the perpendicular bisector of the base.

The Perpendicular bisector concurrency conjecture is the circumcenter

is parallel-apex

A circle can have perpendicular bisector lines by means of its diameter.

A circle cannot form a perpendicular bisector.

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.

Yes. If you have an isosceles triangle standing up on the unequal side, thenthe line segment from the top vertex perpendicular to the base is all of these.

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