Please check the picture.
The midpoint of a line divides the line into equal segments.
The option that proves PQ = LO is (a)
The given parameters are:




P is the midpoint of LM.
So, we have:



Q is the midpoint of NO.
So, we have:



Distance PQ is calculated as follows:

This gives:



Distance LO is calculated as follows:



So, we have:


Thus:

Hence, the correct option is (a)
Read more about distance and midpoints at:
brainly.com/question/11231122
The answer is to this question is 8,326

Multiply the top equation by -3 and added to the second one.
By Elimination.