A useful theorem that uses proportionality, but not triangles, is the following: If two lines connect the endpoints of parallel segments of different lengths, then a line through the intersection of the two lines connecting those endpoints divides the parallel segments proportionally. (See Figure 7. 53.)

 Figure 7.53

Using this result, divide the following line segment into a 2-to-3 ratio:

Transcribed Image Text:

' E P F D B