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

Question

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

happykiddo · Answer

STATEMENT                                                                                    REASON

Line DE =Line BA                                                                               Given
          
Line BA is a transversal that intersects two parallel lines.          Conclusion from Statement 1.
 
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ΔABC ~ ΔDBE                                                             Angle-Angle (AA) Similarity Postulate

BD/BA=BE/BC                                                                 Converse of the Side-Side-Side 
                                                                                                Similarity Theorem

happykiddo · Answer

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