Question

line segment st is congruent to which line segment? (overline{sk}) (overline{ku}) (overline{ut}) (overline{tk})

Explanation:

Step1: Recall Tangent-Segment Theorem

The theorem states that if two tangent segments are drawn from the same external point to a circle, then the two tangent segments are congruent. Here, point \( T \) is the external point, and \( ST \) and \( UT \) are tangent segments drawn from \( T \) to the circle with center \( K \).

Step2: Identify Congruent Segments

Since \( ST \) and \( UT \) are tangent segments from the same external point \( T \) to the circle, by the Tangent - Segment Theorem, \( ST\cong UT \).

Answer:

\(\overline{UT}\)