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SAI International School

                                                       CLASS – VI

           Mathematics

           Chapter-14: Practical Geometry - 4
           Lesson Notes – 4
           SUBTOPICS:
               1)  The perpendicular bisector of a line segment:
                        A perpendicular bisector can be defined as a line segment which intersects
                         another line perpendicularly and divides it into two equal parts.
                        Two lines are said to be perpendicular to each other when they intersect in such
                         a way that they form 90 degrees with each other.

               2)   Construction of perpendicular bisector of a line segment using ruler and
                  compasses

           Step 1: Draw a line segment AB of any length.





           Step 2: With A as centre, using compasses, draw a circle. The radius of your circle should be
           more than half the length of AB.













           Step 3: With the same radius and with B as centre, draw another circle using
           compasses. Let it cut the previous circle at C and D.
















           Step 4: Join CD. It cuts AB at O. Use your divider to verify that O is the midpoint of AB.


           Conclusion: Therefore, CD is the perpendicular bisector of AB.
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