In ΔABC shown below, DE is parallel to AC .
The 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.
Which statement and reason accurately completes the proof?
Select one: 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
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