Question

which segment is adjacent to ∠u?
answer
du do ou

Explanation:

To determine the segment adjacent to $\angle U$, we recall that adjacent sides (segments) to an angle in a triangle are the two sides that form the angle. In $\triangle UOD$ (right - angled at $O$), $\angle U$ is formed by segments $\overline{OU}$ and $\overline{DU}$. But we analyze the options:

• $\overline{DU}$ is the hypotenuse (opposite to the right angle) and is one of the sides forming $\angle U$, but let's check the other options.
• $\overline{DO}$: This segment is opposite to $\angle U$ (since in right - triangle $UOD$, right - angled at $O$, $\angle U$ and $\angle D$ are acute angles, and $\overline{DO}$ is opposite to $\angle U$).
• $\overline{OU}$: This segment is one of the two sides that form $\angle U$. An adjacent segment to an angle is a side that is part of the angle (shares the vertex and is one of the two sides forming the angle). So, $\overline{OU}$ is adjacent to $\angle U$.

Answer:

$\overline{OU}$