Consider the below below figure is attached with this question.
Given:
M is the midpoint of LN.
N is the midpoint of MO.
To prove:
LM=NO (instead of LM=MO).
Solution:
It is given that, M is the midpoint of LN. So,
[tex]LM=MN[/tex] ...(i)
N is the midpoint of MO. So,
[tex]MN=NO[/tex] ...(ii)
Using (i) and (ii), we get
[tex]LM=NO[/tex]
Hence proved.