Question

are \\(overline{rs}\\) and \\(overline{pq}\\) congruent?
(there is a heptagon with vertices labeled p, n, k, t, s, r, q. the lengths of the sides are: p to n: 51, n to k: 78, k to t: 78, t to s: 51, s to r: 64, r to q: 78, q to p: 64. there are two buttons below: yes and no)

Explanation:

Step1: Recall congruent segments

Congruent segments have equal lengths.

Step2: Find lengths of \( \overline{RS} \) and \( \overline{PQ} \)

From the diagram, length of \( \overline{RS} = 64 \) and length of \( \overline{PQ} = 64 \).

Step3: Compare lengths

Since \( 64 = 64 \), the lengths are equal.

Answer:

yes