Question 1176855

Proof

1, 
given: {{{M}}} is the midpoint of{{{ XY}}}

2.
prove: {{{XM = YM}}}

3 and 4

If{{{ M }}}is the midpoint of {{{XY}}}, then from the definition of midpoint of a segment, we know that {{{XM = YM}}}. 
This means that {{{XM}}} and {{{YM}}} have the same measure. 
By the definition of congruence, if two segment have the same measure, then they are {{{congruent}}}.

5.

Thus,  {{{XM = YM}}}