Answer: Hopefully this helps you out!
Given:
ABCD is a parallelogram, which means opposite sides are parallel and equal in length.
E is the midpoint of BC, which means that BE = EC.
Prove:
AFBE ADCE.
Proof:
Since ABCD is a parallelogram, we know that AB // DC and AD = AB (opposite sides are equal in length)
Since E is the midpoint of BC, we know that BE = EC (definition of midpoint)
From the first step and second step, we know that AB = AD and BE = EC
Therefore, we can say that AFBE and ADCE (by CPCTC)
Therefore, given that ABCD is a parallelogram and E is the midpoint of BC, we have been able to prove that AFBE ADCE.
Explanation: