Question

figure 1 and figure 2 below are congruent. which side corresponds to side \overline{rs}?

Explanation:

Step1: Analyze congruent figures

Congruent figures have corresponding sides and angles equal.

Step2: Match vertices

By observing the orientation and structure of the parallelograms (assuming they are parallelograms as per the shape), in Figure 1 vertices \(P,Q,R,S\) and in Figure 2 vertices \(X,Y,Z,W\). Since the figures are congruent, the order of vertices matters. The side \(\overline{RS}\) in Figure 1 corresponds to the side \(\overline{ZW}\) in Figure 2 as the sequence of vertices (in terms of the shape's structure) is maintained.

Answer:

\(\overline{ZW}\)