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Every isosceles or equilateral triangle.

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Q: For what kinds of triangles can the perpendicular bisector of a side also be an angle bisector of the angle opposite the side?
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Related questions

How are perpendicular bisectors and angle bisectors the same?

In general, they are not. In an isosceles triangle, the perpendicular bisector of the base is the same as the bisector of the angle opposite the base. But the other two perp bisectors are not the same as the angle bisectors. Only in an equilateral triangle is each perp bisector the same as the angle bisector of the angle opposite.


Which types of triangles must always have at least one angle bisector that is also a perpendicular bisector?

iscoceles triangle! =)


What is the difference between and angle bisector and a perpendicular bisector?

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


If a point is equidistant from the two sides of an angle then it is?

on the perpendicular bisector


What is the difference between a perpendicular bisector and a angle bisector?

A perpendicular bisector is a line that divides a given line segment into halves, and is perpendicular to the line segment. An angle bisector is a line that bisects a given angle.


How does the perpendicular bisector affect the vertex angle of an isoceles triangle?

The perpendicular bisector bisects the angle at the vertex.


What is a line that divides an angle of a triangle into two equal triangles?

A perpendicular bisector line depending on what type of triangle it is.


Can the angle bisector of a triangle also be the perpendicular bisector?

Yes. The bisector of one angle of a triangle is the perpendicular bisector of theopposite side if the bisected angle is the vertex angle of an isosceles triangle,or any angle of an equilateral triangle.


Can a median be an angle bisector and not a perpendicular bisector?

Yes.


What are the similarities between angle bisector and perpendicular bisector?

Similarities between angle bisector and perpendicular bisector: Perpendicular bisector bisects a line segment into two equal parts at 90°. Angle bisector bisects an creating two congruent angles they both bisect into equal parts! =)


What does a perpendicular bisector look like?

A perpendicular bisector has a right angle or 90 degrees


Can an altitude be a perpendicular bisector?

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.