Question

Given: In ∆ABC below, BD/BA = BE/BC. Prove line segment DE is parallel to line segment AC.

Answer 1

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.

Answer 2

Which statement and reason can be used to fill in the numbered blank spaces?
1. ∆ABC ~ ∆BED
2. Side-Angle-Side Similarity Postulate

1. ∆ABC ~ ∆BED
2. Side-Side-Side Similarity Theorem

1. ∆ABC ~ ∆DBE
2. Side-Angle-Side Similarity Postulate

1. ∆ABC ~ ∆DBE
2. Side-Side-Side Similarity Theorem

Answer 3

yep