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Mathematics, 10.11.2020 22:10 camperjamari12

In ΔABC shown below, BD over BA equals BE over BC : Triangle ABC with segment DE intersecting sides AB and BC respectively.
The following flowchart proof with missing statements and reasons proves that if a line intersects two sides of a triangle and divides these sides proportionally, the line is parallel to the third side:

Top path, by Given the ratio of line segments BD to BA is equal to the ratio of line segments BE to BC. By space labeled by 2,

Which reason can be used to fill in the numbered blank space? (5 points)

1. ΔABC ∼ ΔBED
2. Side-Angle-Side Similarity Postulate
1. ΔABC ∼ ΔBED
2. Side-Side-Side Similarity Theorem
1. ΔABC ∼ ΔDBE
2. Side-Angle-Side Similarity Postulate
1. ΔABC ∼ ΔDBE
2. Side-Side-Side Similarity Theorem

Please HELP

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