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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,
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. 4. 5. ΔABC ~ ΔDBE 5. Angle-Angle (AA) Similarity Postulate 6. 6. Converse of the Side-Side-Side Similarity Theorem Which statement and reason accurately completes the proof?