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.

Example: 

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

Solution:

(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…