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Students Learning Outcomes
After studying this unit, the students will be able to:
• Prove that any point on the right bisector of a line segment is
equidistant from its end points.
• Prove that any point equidistant from the end points of a line
segment is on the right bisector of it.
• Prove that the right bisectors of the sides of a triangle are
concurrent.
• Prove that any point on the bisector of an angle is equidistant
from its arms.
• Prove that any point inside an angle, equidistant from its arms, is
on the bisector of it.
• Prove that the bisectors of the angles of a triangle are concurrent.



Introduction
In this unit, we will prove theorems and their converses, if
any, about right bisector of a line segment and bisector of an angle.
But before that it will be useful to recall the following definitions:
Right Bisector of a Line Segment
A line is called a right bisector of a line segmentifitis perpendicular
to the line segment and passes through its midpoint






Theorem 12.1.1
Any point on the right bisector of a line segment is equidistant from its end points


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