Question

I'm really having trouble understanding these so please help me!
Geometry Proving (10 points per question)

Given AB=CD, BC=DA
Prove ABCD is a parallelogram

Image: https://gyazo.com/dfc875108604f5f7f5ade5b53afbc9a5


Second Problem

Given: DE bisects AC, BF bisects AC, AE = FC, DE = FB
Prove ABCD is a parallelogram

Image: https://gyazo.com/5637c044fb9889a62f5a969f457b3a80

Answer 1

First Problem.
Reason 2. Congruence of segments is reflexive.
Statement 3. triangle BCD
Reason 3. SSS
Statement 4. <3, <2
Reason 5. If lines are cut by a transversal such that alternate interior angles are congruent, then the lines a re parallel.
Reason 6. Definition of parallelogram.

Second Problem
Sorry, but the picture is two dark and unclear, and I can't understand it.