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Is this True or false the angle bisector of the vertex angle of an isosceles triangle is also the perpendicular bisector of the base?
Wiki User
∙ 6y ago
True
Wiki User
∙ 6y ago
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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.
Does perpendicular bisector has a vertex as an endpoint?
No
What is the maximum vertex angle in an isosceles triangle?
an isosceles triangle can have any vertex angle less than 180 and greater than 0, as long the other two angles are equal. an isosceles triangle with a vertex of 179 degrees would just have the other two angles be 0.5 degrees. A right triangle with matching angles (both 45 degrees) would be both a right triangle and isosceles triangle.
A perpendicular segment with one endpoint at a vertex and the other endpoint on the side opposite that vertex?
Altitude: The altitude of a triangle is a perpendicular segment that connects a vertex and its opposite side. Let's construct the altitude of a triangle using a new triangle.
If the vertex of an isosceles triangle has a measure of 70 what is the measure of one base angle?
If the vertex of an isosceles triangle has a measure of 70° what is the measure of one base angleANSWER:Isosceles = 2 legs, 1 vertex, 1 baseTriangle = 180°if its vertex measure 70° , 1 leg ____? + 1 leg____? =180° and all isosceles triangle has congruent legs.180°- 70°=110° then 110° divided by 2 =55°=vertex of an isosceles triangle measure 70° and its 2 legs measure 55°
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.
What are 2 properties of an isosceles triangle?
-- 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.
How does the perpendicular bisector affect the vertex angle of an isoceles triangle?
The perpendicular bisector bisects the angle at the vertex.
Can perpendicular bisectors have a vertex as an endpoint?
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.
Is it possible for a segment to be a perpendicular bisector angle bisector median and altitude of a triangle?
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.
Is the altitude of an isosceles triangle the angle bisector of the vertex?
Yes, provided that the base is not one of the 2 equal sides. And it's also the perpendicular bisector of the base.
Does the angle bisector of the vertex angle of an isosceles triangle divides the triangle into two congruent?
Only if the vertex angle being bisected is between the sides of equal length will the result be two congruent triangles.
Does the angle bisector in a triangle bisect the opposite side?
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.
Does perpendicular bisector has a vertex as an endpoint?
No
Are the diagonals of an isosceles triangle perpendicular?
There are no 'diagonals' in a triangle. Each vertex is connected to both of the other vertices, by the sides.
Will perpendicular bisectors that originate at the base of isosceles triangles pass through the vertex of the triangle?
Yes.
