Given: O is the midpoint of line MN OM = OW
To prove: OW = ON
Statement Reason 1> OM = OW -------------------------> Given 2> OM = ON ---------------------------> O is the midpoint of line MN i.e Point O bisects line MN 3> OM = OW --------------------------> From statement <1> 4> ON = OW -------------------------> OM = ON (Statement <2>) OW = ON proved!!
With O being the midpoint and OM equaling OW, and also OM equals ON because O is the midpoint, by the Transitive Property of Equality OW equals ON. ;
To prove that OW = ON, we start with the fact that O is the midpoint of MN, implying OM = ON, and since OM = OW, it leads us to conclude that OW = ON. Therefore, the required proof stands verified. This is established through simple substitutions based on properties of midpoints.
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