Question

can you conclude that \\(\overline{tu}\\) and \\(\overline{st}\\) are congruent?
(there is a triangle with vertices s, t, u. the segments from t to s and t to u have one tick mark each. below the triangle, there are two buttons labeled yes and no, and a submit button.)

Explanation:

Step1: Recall congruent segment definition

Congruent segments have equal length. The tick marks on \( \overline{ST} \) and \( \overline{TU} \) indicate they are equal in length.

Step2: Apply the definition

Since the tick marks show \( ST = TU \), by the definition of congruent segments (\( \overline{AB} \cong \overline{CD} \) if \( AB = CD \)), \( \overline{TU} \) and \( \overline{ST} \) are congruent.

Answer:

yes