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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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The perpendicular bisector bisects the angle at the vertex.

triangles angle bisector is called incenter..

A right angle

Not necessarily. The only time that the angle bisector would bisect the opposite side is if you were bisecting the vertex angle of an isosceles triangle.

90 degrees

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iscoceles triangle! =)

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

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.

on the perpendicular 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.

The perpendicular bisector bisects the angle at the vertex.

Yes.

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.

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

A perpendicular bisector has a right angle or 90 degrees

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! =)

triangles angle bisector is called incenter..

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