Question

which of the lines or segments below is secant to circle o? answer overline{yg} overline{yo} overleftrightarrow{wd} overleftrightarrow{nv}

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

• $\overline{YG}$: This is a line - segment. A secant is a line (not just a segment). Also, it may not intersect the circle \(O\) at two points.
• $\overline{YO}$: This is a line - segment. A secant is a line (not just a segment). Also, it may not intersect the circle \(O\) at two points.
• $\overleftrightarrow{WD}$: This line intersects the circle \(O\) at two points ( \(W\) and another point on the circle \(O\) as it is a line passing through the circle).
• $\overleftrightarrow{NV}$: This line does not intersect the circle \(O\) at two points.

Answer:

\(\overleftrightarrow{WD}\)