Question

1. identify the line, segment, or as a radius, chord, diameter, secant, or tangent of circle l.

line p
\\( \overline { l n } \\)
line n
\\( \overline { k m } \\)
\\( \overline { k n } \\)
chord
tangent
secant
radius
diameter

Explanation:

Step1: Recall definitions

• Chord: A line segment with both endpoints on the circle.
• Tangent: A line that touches the circle at exactly one point.
• Secant: A line that intersects the circle at two points.
• Radius: A line segment from the center of the circle to a point on the circle.
• Diameter: A chord that passes through the center of the circle.

Step2: Analyze each item

• Line \(p\): Intersects the circle at two points, so it is a secant.
• \(\overline{LN}\): Connects the center \(L\) to a point \(N\) on the circle, so it is a radius.
• Line \(n\): Touches the circle at exactly one point \(O\), so it is a tangent.
• \(\overline{KM}\): A line segment with both endpoints \(K\) and \(M\) on the circle, so it is a chord.
• \(\overline{KN}\): Passes through the center \(L\) (since \(L\) is the center and \(KN\) goes from \(K\) through \(L\) to \(N\)), so it is a diameter.

Answer:

• Line \(p\): secant
• \(\overline{LN}\): radius
• Line \(n\): tangent
• \(\overline{KM}\): chord
• \(\overline{KN}\): diameter