0
What else can I help you with?
What is the different between a perpendicular bisector and a midpoint?
A midpoint is a point. It's the point exactly halfway between the endsof a line segment.A perpendicular bisector is a line. It's the line that passes through themidpoint of the segment, and is perpendicular to the segment.
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
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.
What of a triangle is a segment drawn through the midpoint of a side forming a right angle?
It is the perpendicular bisector
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.
In the construction of a perpendicular bisector to a given line segment the perpendicular bisector passes through the vertices of two?
Equilateral triangles
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.
What is the different between a perpendicular bisector and a midpoint?
A midpoint is a point. It's the point exactly halfway between the endsof a line segment.A perpendicular bisector is a line. It's the line that passes through themidpoint of the segment, and is perpendicular to the segment.
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
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.
What of a triangle is a segment drawn through the midpoint of a side forming a right angle?
It is the perpendicular bisector
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.
Why does a line segment have one midpoint and can have many bisectors?
A bisector is a line (or line segment) which passes through the midpoint. You can have multiple lines intersect at this one point, and all of them will bisect the original line segment, since they pass through its midpoint. A perpendicular bisector passes through the midpoint, and also is perpendicular to the original line segment, so there will be only one of those.
What are some examples of segment bisector?
A segment bisector is a line, ray, or segment that divides a segment into two equal parts. Examples include the perpendicular bisector of a line segment, which intersects the segment at its midpoint at a right angle, and a midpoint connector that connects the midpoints of two segments. Additionally, any line that passes through the midpoint of a segment and extends in both directions can also be considered a segment bisector.
Is a perpendicular bisector a type of concurrent line?
A perpendicular bisector is a line that cuts through another line at 90 degrees
What if you repeat the perpendicular line segment construction twice using paper folding you can construct?
You can construct a parallel to a line through a point not on the line. (perpendicular line segment)
What is the line that goes through the midpoint of a segment?
segment bisector
