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Does a perpendicular bisector of a triangle always passes through the opposite vertex?
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What of a triangle is a segment drawn through the midpoint of a side forming a right angle?
It is the perpendicular bisector
What is a segment that passes through of vertex and is perpendicular to the opposite side?
The segment that passes through a vertex and is perpendicular to the opposite side is called the altitude of the triangle.
In the construction of a perpendicular bisector to a given line segment the perpendicular bisector passes through the vertex of two?
equilateral triangles
Is the orthocenter the point shared by the angle bisectors of a triangle?
Sometimes. If the triangle is an equilateral triangle, then yes. If the triangle has two sides of equal length, then the bisector passing through the point connecting the two sides of equal length will share the orthocenter. If all three sides have different lengths, then none of the bisectors of a triangle will share (pass through) the orthcenter.The definition of the orthocenter is:The point where the three altitudes of a triangle intersect. (An altitude is the linefrom a vertex drawn perpendicular to the opposite side.) So an angle bisectordoesn't pass through the orthocenter unless the angle bisector happens tocoincide with the altitude, and that only happens when the triangle is eitherisosceles or equilateral.
What are the distances from a point on the perpendicular bisector to the endpoints of a segment?
The distance will be length of the line divided by 2 because the perpendicular bisector cuts through the line at its centre and at right angles
What of a side of a triangle is a line perpendicular to a side through the midpont of the side?
Perpendicular bisector.
What area of a triangle does a perpendicular bisector split?
a line that intersects an edge of a triangle that is perpendicular to it and passes through the midpoint
What of a triangle is a segment drawn through the midpoint of a side forming a right angle?
It is the perpendicular bisector
Will a angle bisector determine a midpoint?
If you perform an angle bisector on an angle in a triangle, then it will go through the midpoint of the opposite side.
An altitude of a triangle is a line or segment that passes through a vertex of the triangle and is?
and is perpendicular to the opposite side.
What is a segment that passes through of vertex and is perpendicular to the opposite side?
The segment that passes through a vertex and is perpendicular to the opposite side is called the altitude of the triangle.
What is a perpendicular bisector of a line segment?
The perpendicular bisector of a line segment AB is the straight line perpendicular to AB through the midpoint of AB.
Is a perpendicular bisector a type of concurrent line?
A perpendicular bisector is a line that cuts through another line at 90 degrees
In the construction of a perpendicular bisector to a given line segment the perpendicular bisector passes through the vertices of two?
Equilateral triangles
In the construction of a perpendicular bisector to a given line segment the perpendicular bisector passes through the vertex of two?
equilateral triangles
What are the difference between perpendicular lines and a perpendicular bisector?
A perpendicular bisector goes through the median of the line while a perpendicular line can be anywhere on the line as long as it is at a 90 degree angle.
An of a triangle is a line segment that passes through the vertex of the triangle and is perpendicular to the lines containing the opposite side?
Altitude.
