We are given a part of the Charleston map. We want to find the distance from Smith Street to Logan Street along Beaufain Street. Let x be that distance. Now, let's take a look at the given map and label the vertices with consecutive letters.
If three or more parallel lines intersect two transversals, then they cut off the transversals proportionally.
Since we are given that BE is parallel both to CD and AF, we can use the Proportional Parts of Parallel Lines Theorem and write a proportion.
AB/BC=FE/ED
Let's substitute the lengths of the segments into the proportion and solve for x. To do this, we will use the Cross Products Property.
