When you draw an 8.5 inch horizontal segment and then fold the paper vertically down the middle, the segment is bisected into two equal lengths.
To find the length of the two new segments created by the fold:
Length of the original segment = 8.5 inches
When folded, each half will be: \( \frac{8.5 \text{ in}}{2} = 4.25 \text{ in} \)
Therefore, the length of the two new segments created by the fold is 4.25 inches.