Question

ABCD is a parallelogram. AB is produced to E so that BE = AB. Prove that ED bisects BC.
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Answer 1

Answer:

bro be is not equal to AB

Answer 2

Answer:

Step-by-step explanation:

As ABCD is a paralleogram So, AB=CD

It is given that AB=BE

So, BE=CD.

Also, ∠BEF=∠EDC (Alternate interior Angle)

Similarly, ∠EBF=∠BCD  (Alternate interior Angle)

Now, In ΔBEF & ΔCDF

∠E=∠D

∠C=∠B

CD=BE

By ASA congurance criteria ΔBEF≅ΔCDF

By CPCT,

BF=CF

∴Line segment ED bisects BC