Question

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

Answer 1

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

Answer 2

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