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A perpendicular bisector is a line that divides a segment into two equal parts at a 90-degree angle. It has two key characteristics: it is equidistant from the endpoints of the segment it bisects, meaning any point on the bisector is the same distance from both endpoints, and it intersects the segment at its midpoint. Additionally, the slope of the perpendicular bisector is the negative reciprocal of the slope of the original segment.
What else can I help you with?
Can a segment have more than one perpendicular bisector?
No. All segments have only one perpendicular bisector.
Do all segments have a perpendicular bisector?
Indeed they do.
What is the difference between and angle bisector and a perpendicular bisector?
An angle bisector bisects an angle. A perpendicular bisector bisects a side.
What can not form a perpendicular bisector?
A circle cannot form a perpendicular bisector.
Are any points on the perpendicular bisector of a segment equally distant from the 2 endpoints?
All of the points on a perpendicular bisector are equidistant from the endpoints of the segment.
Can a segment have more than one perpendicular bisector?
No. All segments have only one perpendicular bisector.
Do all segments have a perpendicular bisector?
Indeed they do.
What is the difference between and angle bisector and a perpendicular bisector?
An angle bisector bisects an angle. A perpendicular bisector bisects a side.
What can not form a perpendicular bisector?
A circle cannot form a perpendicular bisector.
If a point is equidistant from the two sides of an angle then it is?
on the perpendicular bisector
State the Perpendicular Bisector Theorem and its converse as a biconditional?
Biconditional Statement for: Perpendicular Bisector Theorem: A point is equidistant if and only if the point is on the perpendicular bisector of a segment. Converse of the Perpendicular Bisector Theorem: A point is on the perpendicular bisector of the segment if and only if the point is equidistant from the endpoints of a segment.
Are any points on the perpendicular bisector of a segment equally distant from the 2 endpoints?
All of the points on a perpendicular bisector are equidistant from the endpoints of the segment.
What is a perpendicular bisector concurrency conjecture?
The Perpendicular bisector concurrency conjecture is the circumcenter
What is not a characteristic of of a perpendicular bisector?
is parallel-apex
Is a circle have perpendicular bisector?
A circle can have perpendicular bisector lines by means of its diameter.
What shape can not form a perpendicular bisector?
A circle cannot form a perpendicular bisector.
What is the converse of the perpendicular bisector theorem?
Converse of the Perpendicular Bisector Theorem - if a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment.Example: If DA = DB, then point D lies on the perpendicular bisector of line segment AB.you :))
