Question

7.6 proportionality practice
use the figure to complete the proportion.

1. \\(\frac{dc}{fa} = \frac{?}{ag}\\)

? = \boxed{\quad}

Explanation:

Step1: Identify proportional segments

By the Basic Proportionality Theorem (Thales' Theorem), when three parallel lines are cut by two transversals, the corresponding segments are proportional.

Step2: Match segment pairs

The transversals create segment pairs: $DC$ corresponds to $EB$, $FA$ corresponds to $AG$. The proportion $\frac{DC}{FA}=\frac{EB}{AG}$ holds.

Answer:

$EB$