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In ΔABC shown below, segment DE is parallel to segment AC:
Triangles ABC an...
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Mathematics, 18.11.2020 20:30 sammybrain
HELP!! ASAP
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 complete the proof?
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