Triangle Proportionality Theorem
If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally
Triangle Proportionality Converse
If a line divides two sides of a triangle proportionally, then it is parallel to the third side
If three parallel lines intersect two transversals, then…
They divide the transversals proportionally
If a ray bisects an angle of a triangle, then…
It divides the opposite sides into segments whose lengths are proportional to the lengths of the other two sides