Question

can you conclude that \\(overline{pq}\\) and \\(overline{rs}\\) are congruent?
n p q r s
7w 8x 7v 8x
yes no

Explanation:

Step1: Recall congruent segments definition

Congruent segments have equal lengths. So we need to check if \( PQ \) and \( RS \) have the same length.

Step2: Identify lengths of \( PQ \) and \( RS \)

From the diagram, the length of \( \overline{PQ} \) is \( 8x \), and the length of \( \overline{RS} \) is also \( 8x \). Since their lengths are equal (\( PQ = 8x \) and \( RS = 8x \)), by the definition of congruent segments, \( \overline{PQ} \cong \overline{RS} \).

Answer:

yes