# Chapter 5 - Section 5.6 - Segments Divided Proportionally - Exercises - Page 257: 32

The proof is in the following form: Column 1 of proof; Column 2 of proof. Thus, we have: 1. $XY \parallel RT$ and $YZ \parallel RS$; Given 2. $\frac{YT}{SY} = \frac{RX}{XS}$ and $\frac{ZT}{RZ}= \frac{YT}{SY}$; lines parallel to one side of a triangle always proportionally divides the other side of the triangle. 3. $\frac{RX}{XS} = \frac{ZT}{RZ}$; transitive property (two things equal to the same thing are equal to each other.)

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