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Segments AC and BD intersect at point P such that P A = P D and P B = P C. Let E be the foot of the perpendicular from P to the line CD. Prove that the line P E and the perpendicular bisectors of the segments P A and P B are concurrent.

Sagot :

PA=PD AND PB=PC
AC=AD AND AB=AC
PA=PD AND PB=PC AND PA