SOLUTION: If a line goes through the midpoint of line AB, then it is equidistant from points A and B. Prove the converse statement.

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Question 658337: If a line goes through the midpoint of line AB, then it is equidistant from points A and B. Prove the converse statement.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
We need to prove:

If a line is equidistant from points A and B, then the line goes through the midpoint of line AB.

To prove this, assume that the line doesn't go through the midpoint and prove a contradiction arises (which would invalidate the assumption and prove the statement above).