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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.
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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 a circle can not form a perpendicular bisector?
A circle itself does not form a perpendicular bisector because a perpendicular bisector is a line that divides a segment into two equal parts at a right angle, typically associated with straight segments. However, the concept of a perpendicular bisector can be applied to chords within a circle. The perpendicular bisector of a chord will always pass through the center of the circle.
In a circle the perpendicular bisector of a chord must pass through the center of the circle?
Yes, in a circle, the perpendicular bisector of a chord does indeed pass through the center of the circle. This is because the perpendicular bisector of a chord divides it into two equal segments and is equidistant from the endpoints of the chord. Since the center of the circle is the point that is equidistant from all points on the circle, it must lie on the perpendicular bisector. Thus, any chord's perpendicular bisector will always intersect the center of the circle.
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.
In the construction of a perpendicular bisector to a given line segment the perpendicular bisector passes through the vertices of two?
Equilateral triangles
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 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 altitude of a triangle is a line or segment that passes through a vertex of the triangle and is to the line containing the opposite side?
perpendicular
