Is this True or false the angle bisector of the vertex angle of an isosceles triangle is also the perpendicular bisector of the base?
What have we got to prove? Whether we have to prove a triangle as an Isoseles triangle or prove a property of an isoseles triangle.. Hey, do u go to ALHS, i had that same …problem on my test today.. Greenehornet15@yahoo.com
the circumcenter, orthocenter, and centriod, when connected together i Euler's line. the angle bisector of the non base angle is the same thing.
Which types of triangles must always have at least one angle bisector that is also a perpendicular bisector?
iscoceles triangle! =)
If the bisector of the vertical angle of the triangle bisects the base prove that the triangle is isosceles?
show that the bisector of the vertical angle of an isosceles triangle bisects the base
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! =)
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.
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 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, then the line segment from the top vertex perpendicular to the base is all of these.
Yes, provided that the base is not one of the 2 equal sides. And it's also the perpendicular bisector of the base.
The perpendicular bisector bisects the angle at the vertex.
Yes. The bisector of one angle of a triangle is the perpendicular bisector of the opposite side if the bisected angle is the vertex angle of an isosceles triangle, or a…ny angle of an equilateral triangle.
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.
Will perpendicular bisectors that originate at the base of isosceles triangles pass through the vertex of the triangle?
any isosceles triangle