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given: lineAB is congruent to lineDC, E it the midpoint of lineAD and lineAC is congruent to line DB Prove: lineCE is congruent to lineBE *will draw picture

Mathematics
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Since seg AC is congr to seg BD and seg AB is congr to seg DC and seg AD is congr to itself, then by SSS triangles ABD and DCB are congr
By CPCTC, angles BAD and CDA are congr Since E is mdpt, AE is congr to DE seg BA and seg CD are congr so by SSS triangles BAE and CDE are congr. By CPCTC, segs CE and BE are congr

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