line segment st is congruent to which line segment?\no $overline{sk}$\no $overline{ku}$\no $overline{ut}$\no…

line segment st is congruent to which line segment?\no $overline{sk}$\no $overline{ku}$\no $overline{ut}$\no $overline{tk}$

line segment st is congruent to which line segment?\no $overline{sk}$\no $overline{ku}$\no $overline{ut}$\no $overline{tk}$

Answer

Answer:

C. $\overline{UT}$

Explanation:

Step1: Recall tangent - segment congruence property

If two tangent segments are drawn to a circle from an external point, then the two tangent segments are congruent.

Step2: Identify external point and tangents

Point $T$ is an external point to the circle with center $K$. $\overline{ST}$ and $\overline{UT}$ are tangent segments drawn from point $T$ to the circle. So, $\overline{ST}\cong\overline{UT}$.