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Q: Is the altitude of an isosceles triangle the angle bisector of the vertex?

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-- An isosceles triangle has two equal sides. -- An isosceles triangle has two equal angles. -- An isosceles triangle has two equal interior-angle bisectors. -- The bisector of the vertex angle of an isosceles triangle is also the perpendicular bisector of the triangle's base.

If the sloped sides of an isosceles trapezium are extended to a vertex, you would get an isosceles triangle.If the sloped sides of an isosceles trapezium are extended to a vertex, you would get an isosceles triangle.If the sloped sides of an isosceles trapezium are extended to a vertex, you would get an isosceles triangle.If the sloped sides of an isosceles trapezium are extended to a vertex, you would get an isosceles triangle.

It's in the definition of an angle bisector: An angle is formed by two rays with a common endpoint. The angle bisector is a ray or line segment that bisects the angle, creating two congruent angles.and an isoceles triangle:it is a triangle with (at least) two equal sides. This property is equivalent to two angles of the triangle being equal. An isosceles triangle therefore has both two equal sides and two equal angles.

(180 - 38)/2 = 71 degrees (base angles of an isosceles triangle are congruent).

An altitude.

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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! =)

-- An isosceles triangle has two equal sides. -- An isosceles triangle has two equal angles. -- An isosceles triangle has two equal interior-angle bisectors. -- The bisector of the vertex angle of an isosceles triangle is also the perpendicular bisector of the triangle's base.

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.

True

Only if the vertex angle being bisected is between the sides of equal length will the result be two congruent triangles.

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.

bob

If the triangle is really isosceles, and it's not lying on one of the equal sides, then the altitude is always a median.

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.

In an isosceles or equilateral triangle, when from the vertex that is different from the others.

When one draws an isosceles triangle and cast a line straight down from the top, It will result to a perpendicular bisector of the bottom leg. This will only work with an isosceles triangle.

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