Perpendicular bisector. The perpendicular bisector of a side of a triangle is a line perpendicular to the side and passing through its midpoint. ... A point where three or more lines intersect is called a point of concurrency. So, the circumcenter is the point of concurrency of perpendicular bisectors of a triangle.
What can have a perpendicular bisector?
If the median line segment intersects the opposite side at exactly 90° then we can say that the median is a perpendicular bisector. Therefore, the median of a triangle can be a perpendicular bisector only if it makes 90 degrees with the side opposite to it.
How do you verify a perpendicular bisector?
The perpendicular bisector of a line segment
- open the compass more than half of the distance between A and B, and scribe arcs of the same radius centered at A and B.
- Call the two points where these two arcs meet C and D. Draw the line between C and D.
- CD is the perpendicular bisector of the line segment AB. ...
- Proof.
