Points AB and O lie on 1 straight line, but points A and B are not symmetric with respect to point O.

Points AB and O lie on 1 straight line, but points A and B are not symmetric with respect to point O. Is it possible, based on these statements, to conclude that the segments OA and OB are not equal? And why?

Point O does not lie on the segment AB, then 2 options are possible:

ОА = AB + BO, hence ОА> ОВ, or ОВ = AB + AO, therefore ОВ> ОА.

Those. in both cases, OA is not equal to OВ.

Answer: Yes, it can be argued that the segments OA and OВ are not equal.



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