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any isosceles triangle

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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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Related questions

Is a perpendicular bisector always an angle bisector?

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! =)


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.


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

The perpendicular bisector bisects the angle at the vertex.


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

iscoceles triangle! =)


How is constructing a perpendicular bisector different to constructing an angle bisector?

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.


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.


Is this True or false the angle bisector of the vertex angle of an isosceles triangle is also the perpendicular bisector of the base?

True


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

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


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

Every isosceles or equilateral triangle.


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

on the perpendicular bisector


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.


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.