In ΔABC shown below, segment DE is parallel to segment AC:



Triangles ABC and DBE where DE is parallel to AC

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. Line segment DE is parallel to line segment AC 1. Given
2. Line segment AB 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. BD over BA equals BE over BC 6. Converse of the Side-Side-Side Similarity Theorem


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

Group of answer choices

A)3. ∠BDE ≅ ∠BAC; Corresponding Angles Postulate
5. ΔBDE ∼ ΔBAC; Angle-Angle (AA) Similarity Postulate

B)3. ΔBDE ∼ ΔBAC; Corresponding Angles Postulate
5. ∠BDE ∼ ∠BAC; Angle-Angle (AA) Similarity Postulate

C)3. ∠BDE ≅ ∠BAC; Congruent Angles Postulate
5. ΔBDE ∼ ΔBAC; Angle-Angle (AA) Similarity Postulate

D)3. ∠BDE ≅ ∠BAC; Congruent Angles Postulate
5. ΔBDE ∼ ΔBAC; Side-Angle-Side (SAS) Similarity Postulate