HEY CAN ANYONE HELP ME!! In ΔABC shown below, segment DE is parallel to segment AC:

Triangles ABC and DBE where DE is parallel to AC

The 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