Question

Given: M is the midpoint of LN, N is the midpoint of MO Prove: LM=MO​

Answer 1

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,

$LM=MN$             ...(i)

N is the midpoint of MO. So,

$MN=NO$             ...(ii)

Using (i) and (ii), we get

$LM=NO$

Hence proved.