Question

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Answer 1

Given: In ∆ABC below,BD over BA equals BE over BC .
Prove: segment DE is parallel to segment AC .



The flow chart 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.

Which statement and reason can be used to fill in the numbered blank spaces?

1. ∡A ≅ ∡B
2. Corresponding Parts of Similar Triangles

1. ∡A ≅ ∡B
2. Corresponding Angles Postulate

1. ∡B ≅ ∡B
2. Reflexive Property of Equality

1. ∡A ≅ ∡A
2. Reflexive Property of Equality