This document discusses proportional relationships in triangles. It states that if a line parallel to one side of a triangle intersects the other two sides, it divides them proportionally. It also states that if three parallel lines intersect two transversals, they divide the transversals proportionally. Finally, it notes that if a ray bisects an angle of a triangle, it divides the opposite side proportionally to the lengths of the other two sides.

1. Terms of Endearment
Proportions and Similar
Triangles: 8.6

2. Triangle Proportionality Theorem
• If a line parallel to one side of a
triangle intersects the other two
sides, the it divides the two sides
proportionally

3. Theorems:
• If 3 parallel lines intersect two
transversals, then they divide the
transversals proportionally.

4. • If a ray bisects an angle of a triangle,
then it divides the opposite side into
segments whose lengths are
proportional to the lengths of the
other two sides