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Geometrical Constructions

  • Construction of perpendicular bisector of a line segment

Perpendicular Bisector: A line that bisects a line segment at 90° is called the perpendicular bisector of the line segment.


Construct a perpendicular bisector of the line segment AB of length 8.2 cm.


(1) Draw a line segment AB = 8.2 cm using a ruler.

(2) Draw two arcs taking A and B as centres and radius more than 4.1 cm on both sides of AB. Let the arcs intersect at points P and Q. Join PQ.

PQ is the required perpendicula…

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