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The two pieces of information that can help to prove the above to be true, are:
A perpendicular bisector is known to be the line that cut through another line segment and it is often at a right angle that is, it often passes via the e intersection point.
Note that the two pieces of information above is true because it would help one to be able to prove that ΔLMP ≅ ΔNMP by HL is correct.
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