In ∆ABC shown below, line DE is parallel to line 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. (I will draw out the proof in comments) Complete the proof by entering the correct statements and reasons
STATEMENT REASON Line DE =Line BA Given Line BA is a transversal that intersects two parallel lines. Conclusion from Statement 1. (Blank) (Blank) (Blank) (Blank) ΔABC ~ ΔDBE Angle-Angle (AA) Similarity Postulate BD/BA=BE/BC Converse of the Side-Side-Side Similarity Theorem
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