In ΔABC shown below, is parallel to : The following two-column proof with missing statements and reasons proves that if a line parallel to one side of a triangle also intersects the other two sides, the line divides the sides proportionally:

Statement

Reason

1.

1. Given

2. is a transversal that intersects two parallel lines.

2. Conclusion from Statement 1.

3.

3.

4. ∠B ≅ ∠B

4. Reflexive Property of Equality

5.

5.

6.

6. Converse of the Side-Side-Side Similarity Theorem

Which statement and reason accurately completes the proof? (5 points)

3. ∠BDE ≅ ∠BAC; Corresponding Angles Postulate

5. ΔBDE ∼ ΔBAC; Angle-Angle (AA) Similarity Postulate

3. ΔBDE ∼ ΔBAC; Corresponding Angles Postulate

5. ∠BDE ∼ ∠BAC; Angle-Angle (AA) Similarity Postulate

3. ∠BDE ≅ ∠BAC; Congruent Angles Postulate

5. ΔBDE ∼ ΔBAC; Angle-Angle (AA) Similarity Postulate

3. ∠BDE ≅ ∠BAC; Congruent Angles Postulate

5. ΔBDE ∼ ΔBAC; Side-Angle-Side (SAS) Similarity Postulate