Question

which of the following is a secant on the circle below?
a. (widehat{su})
b. (overleftrightarrow{rt})
c. (overline{su})
d. (widehat{ut})

Explanation:

Step1: Recall the definition of a secant

A secant of a circle is a line that intersects the circle at two points.

Step2: Analyze each option

• Option A: $\widehat{SU}$ is an arc, not a line, so it's not a secant.
• Option B: $\overleftrightarrow{RT}$ is a line that intersects the circle at two points (R and T), so it fits the definition of a secant.
• Option C: $\overline{SU}$ is a line segment, not a line, so it doesn't extend to intersect the circle at two points (it only connects S and U, but as a segment, it's not a secant line).
• Option D: $\widehat{UT}$ is an arc, not a line, so it's not a secant.

Answer:

B. $\overleftrightarrow{RT}$