Question

100 POINTS!!

Prove that a line that divides two sides of a triangle proportionally is parallel to the third side. Be sure to create and name the appropriate geometric figures.

Answer 1

If a line parallel to one side of a triangle intersects the other two sides, then it divides those sides proportionally. Triangle Proportionality Theorem Converse: If a line divides two sides of a triangle proportionally, then it is parallel to the third side