Question

can you conclude that \\(\overline{pq}\\) and \\(\overline{vw}\\) are congruent? yes no

Explanation:

Step1: Analyze segment markings

In the rectangle \(PQKN\), \(\overline{PQ}\) has one tick mark (indicating its length is equal to the sides with one tick mark in the rectangle). In the hexagon \(TSRWVU\), \(\overline{VW}\) has two tick marks (indicating its length is equal to the sides with two tick marks in the hexagon).

Step2: Compare congruence criteria

Congruent segments must have the same length. Since \(\overline{PQ}\) and \(\overline{VW}\) have different numbers of tick marks (implying different length - defining groups), we can't conclude they are congruent.

Answer:

no