perpendicular bisector
a segment, ray, line, or plane that is perpendicular to a segment and passes through its midpoint
The perpendicular bisector is a line or a line segment that intersects another line segment at its midpoint and forms a right angle with it. In other words, it is a line that cuts a given line segment into two equal parts and is perpendicular to it.
To construct the perpendicular bisector, you need to follow these steps:
1. Draw the given line segment and label its endpoints.
2. Draw a circle centered at one of the endpoints of the line segment and with a radius that is equal to the length of the line segment.
3. Draw another circle centered at the other endpoint of the line segment and with the same radius as the first circle.
4. The intersection of these two circles is the midpoint of the line segment.
5. Draw a line from the midpoint perpendicular to the line segment. This is the perpendicular bisector.
The perpendicular bisector is important in geometry because it is used to find the center of a circle. It is also used in construction problems where a line or a segment needs to be divided into equal parts.
More Answers:
The Various Meanings Of Concurrent In Computer Science, Mathematics, Legal Terminology, And Daily Usage.Proving The Converse Of The Perpendicular Bisector Theorem: If A Point Is Equidistant From Endpoints Of A Segment, Then It Lies On The Perpendicular Bisector Of The Segment
The Perpendicular Bisector Theorem In Geometry: An Easy-To-Understand Explanation And Its Applications