Question

In ΔABC shown below, BD/BA = BE/BC
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 1

Which reason can be used to fill in the numbered blank space?

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

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

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

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

Answer 2

TOP PATH

1. Given: the ratio of line segments BD to BA is equal to the ratio of line segments BE to BC
2. Side-Angle-Side Similarity Postulate: triangle ABC is similar to triangle DBE
3. Space labeled by 2: space labeled by 1 occurs
4. Converse of the Corresponding Angles Postulate: line segment DE is parallel to line segment AC.

Answer 3

BOTTOM PATH
1. Reflexive property of Quality: angle B is congruent to angle B.
2. Side-Angle-Side Similarity Postulate: triangle ABC is similar to triangle DBE
3. Space labeled by 2: space labeled by 1 occurs
4. Converse of the Corresponding Angles Postulate: line segment DE is parallel to line segment AC

Answer 4

I'm on the same question and im soo confused, which one is it?

Answer 5

@Coolsector

Answer 6

WHICH ONE IS IT IM CRYING

Answer 7

@ivylyn its 1. ∠B ≅ ∠B
2. Reflexive Property of Equality