1. Section 7-6
Proportional lengths

2. Thm 7-3: triangle proportionality theorem
If a line parallel to one side of a triangle intersects the other two sides, then it divides those sides proportionally.

3. j a k b d c
Proportions that can be created using the Triangle Proportionality Theorem:

4. Corollary
If three parallel lines intersect two transversals, then they divide the transversals proportionally.

5. R S T X Y Z

6. THM 7-4: TRIANGLE ANGLE BISECTOR THEOREM
If a ray bisects an angle of a triangle, then it divides the opposite side into segments proportional to the other two sides.

7. By using the Triangle Angle Bisector Theorem, we can say
Given: bisects D F E G
By using the Triangle Angle Bisector Theorem, we can say