Question

figure 1 and figure 2 below are congruent. which angle corresponds to angle u?
figure 1 has a quadrilateral with vertices v, u, t, w. figure 2 has a quadrilateral with vertices f, c, d, e.
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Explanation:

To determine the corresponding angle to \( \angle U \) in congruent figures, we analyze the order of vertices. In Figure 1, the vertices are \( V, U, T, W \) (or the polygon's structure). In Figure 2, the vertices are \( F, C, D, E \). By matching the position of \( U \) (a "corner" with adjacent vertices \( V \) and \( T \)) to Figure 2, we see that \( D \) has adjacent vertices \( C \) and \( E \) in a similar structural position. So the angle corresponding to \( \angle U \) is \( \angle D \).

Answer:

\( \angle D \)