Answer:
The correct option is;
C. 3. ∠BDE ≅∠BAC, Corresponding Angles Postulate 4. ∠B ≅ ∠B Reflexive Property of Equality
Step-by-step explanation:
The two column proof can be written as follows;
Statement,                         Reason
1.  ,                           Given
,                           Given
2.  is a transversal ,         Conclusion from statement 1.
 is a transversal ,         Conclusion from statement 1.
We note that ∠BDE  and ∠BAC are on the same side of the transversal relative to the parallel lines, and are therefore, corresponding angles. 
Therefore, we have;
3. ∠BDE ≅∠BAC,                 Corresponding Angles Postulate
Also
4. ∠B ≅ ∠B,                           Reflexive Property of Equality
In the two triangles, ΔABC and ΔDBE, we have ∠BDE ≅∠BAC and ∠B ≅ ∠B, 
From ∠BDE + ∠B + ∠BED = 180°
∠BAC + ∠B +  ∠BCA = 180°
Therefore, ∠BED = ∠BCA Substitution property of equality
Which gives;
5, ΔABC ~ ΔDBE,          Angle Angle Similarity Postulate
6. BD/BA = BE/BC,      Converse of the Side-Side-Side Similarity Theorem