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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.
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
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.
If a point is equidistant from the two sides of an angle then it is?
on the perpendicular bisector
What is not a characteristic of of a perpendicular bisector?
is parallel-apex
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.
In the construction of a perpendicular bisector to a given line segment the perpendicular bisector passes through the vertex of two?
equilateral triangles
Does a perpendicular bisector of a triangle always passes through the opposite vertex?
No, the perpendicular bisector of a side of a triangle does not necessarily pass through the opposite vertex. The perpendicular bisector is a line that is perpendicular to a segment at its midpoint, and it may intersect the interior or exterior of the triangle, depending on its shape. In fact, the only time a perpendicular bisector passes through the opposite vertex is in the case of an isosceles triangle, where the two sides are equal, and their perpendicular bisectors coincide with the altitude.
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! =)
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.
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
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.
Which type of triangle will always have a perpendicular bisector that is also an angle bisector?
An isosceles triangle will always have a perpendicular bisector that is also an angle bisector. In an isosceles triangle, the two sides are of equal length, and the perpendicular bisector of the base (the unequal side) also divides the vertex angle into two equal angles, thus serving as an angle bisector as well.
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.
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.
What is the difference between and angle bisector and a perpendicular bisector?
An angle bisector bisects an angle. A perpendicular bisector bisects a side.
