Answer:
See Below.
Step-by-step explanation:
We can write a two-column proof.
Statements: Reasons:
[tex]\displaystyle 1)\, F\text{ is the midpoint of } AE[/tex] Given
[tex]\displaystyle 2) \, \overline{FA} \cong \overline{FE}[/tex] Definition of Midpoint
[tex]\displaystyle 3) \, AB\parallel DE[/tex] Given
[tex]\displaystyle 4)\, \angle B \cong \angle D[/tex] Alt. Int. Angles Are Congruent
[tex]\displaystyle 5)\, \angle A \cong E[/tex] Alt. Int. Angles Are Congruent
[tex]\displaystyle 6) \, \Delta BFA \cong \Delta DFE[/tex] AAS Congruence
