Question

question
figure 1 and figure 2 below are congruent. which side corresponds to side $overline{rq}$?
figure 1 has a quadrilateral (or triangle? ) with points p, r, s, q. figure 2 has a quadrilateral (or triangle? ) with points i, j, k, l (labels as i, j, l, k? )

Explanation:

Step1: Identify congruent shape orientation

Figure 1 (PQRS) and Figure 2 (IJKL) are congruent, so we match corresponding vertices by shape and side lengths. $\overline{RQ}$ is the longer side connecting R to Q in Figure 1.

Step2: Match corresponding side in Figure 2

In Figure 2, the side matching the length and position of $\overline{RQ}$ is $\overline{JL}$, connecting J to L.

Answer:

$\overline{JL}$