The image appears to show a geometric problem involving midsegments in triangles. The question mentions the length of $\overline{PQ} = 16$ units and asks for filling in blanks related to midsegments within the triangles.

From the diagram, we can see a series of midsegments drawn in the triangles, specifically:

• $\overline{ST}$ is the midsegment of triangle $\triangle PQR$,
• $\overline{UV}$ is the midsegment of triangle $\triangle STR$, and
• $\overline{WX}$ is the midsegment of triangle $\triangle UVR$.

Since $\overline{ST}$ is a midsegment in $\triangle PQR$, it must be parallel to the base $\overline{PQ}$ and its length will be half of $\overline{PQ}$.

So, the length of $\overline{ST}$ is half of 16 units, i.e., 8 units.

Would you like help solving further parts of the problem, or need more clarification on midsegments in triangles? Let me know how I can assist!

Here are some related questions:

1. What are midsegments in triangles, and how are they calculated?
2. How do midsegments relate to the properties of similar triangles?
3. How can you find the length of a midsegment when dealing with different triangles?
4. What is the relationship between the perimeter of a triangle and its midsegments?
5. Can you explain how the midsegment theorem applies to this specific example?

Tip: The midsegment theorem helps in understanding that a midsegment of a triangle is always parallel to the third side and half as long.