A point C lies between two points A and B such that AC=CB. Prove that AC=AB.

According to question, C lies between points A and B and AC = BC



Adding AC both side we get,


AC + AC = BC + AC


According to definition of Euclid, if equals are added to equals, whole will equal.


Here, (BC + AC) will coincides with AB.


2AC = AB


So, AC = AB


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