Question

$\angle twu \cong \angle uwv$.
which term describes $\overline{wu}$?
\boxed{angle bisector} \boxed{perpendicular bisector}
\boxed{altitude} \boxed{median}

Explanation:

An angle bisector is a line that divides an angle into two congruent angles. Given that \( \angle TWU \cong \angle UWV \), \( \overline{WU} \) splits \( \angle TWV \) into two equal angles, so it is an angle bisector. A perpendicular bisector requires being perpendicular and bisecting a segment, an altitude is perpendicular to a side, and a median connects a vertex to the midpoint of the opposite side—none of these other terms apply here.

Answer:

angle bisector