Question

if Q is the midpoint of a line segment a b and P is the midpoint of a q then show that p q is equal to one by fourth of a b

Answer 1

AQ =QB (q is the midpoint of AB )
AQ +QB = AB
2AQ = AB
AQ =1/2 AB

AP =PQ ( P is tge midpoint of AQ )
AP + PQ = AQ
2AP = AQ
AP = 1/2 AQ
As proved earlier that AQ =1/2AB So replacing value o AQ
AP = 1/2 (1/2 AB )
AP =1/4AB