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Q: What triangle must always have at least one angle bisector that is also a perpendicular bisector?

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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.

thank goodness for my math teacher, norm! he said only in an isosceles triangle. The bisector of the vertex angle of an isosceles triangle is perpendicular to the base! =)

The perpendicular bisector bisects the angle at the vertex.

iscoceles triangle! =)

A perpendicular bisector is a straight line that divides a side of a triangle in two and is at right angles to that side. An angle bisector is a straight line that divides an angle of a triangle in two.

True

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.

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

on the perpendicular bisector

Every isosceles or equilateral triangle.

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.

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

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