Question

ABCD is aparallelogram,AB is produced to E so that BE =AB show that ED bisects BC

Answer 1

Let ED intersects BC at X.
since, AB = BE
so, BE =DC
CONDIDER TRIANGLE XCD AND BXE
DC = BE
BXE = CXD (V.O.A)
DCX = EBX (alterate angles)
by, AAS congruency, triangle DCX congruent to EXB
BX = CX (c.p.c.t.)

hence proved..
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