Question

AB is a line segment. PQ is a perpendiculuar bisector of AB. If PQ and AB intersect at O, then write a relationship between AB and AO.

Answer 1

As PQ bisects AB so
AO+BO=AB (1)
AO=OB (as PQ bisects AB)
Putting AO=OB IN (1) we get
AO+AO=AB
2AO=AB
AO=1/2AB