QUESTION IMAGE
Question
which statement is true?
n is a point of tangency on circle p.
pt is a secant of circle p.
sr is a secant of circle p.
vu is a tangent of circle p.
Brief Explanations
- Analyze "N is a point of tangency on circle P.": The point of tangency is Q, not N (N is outside the circle), so this is false.
- Analyze "$\overline{PT}$ is a secant of circle P.": $\overline{PT}$ is a radius (a line segment from center P to circle point T), not a secant (a line intersecting a circle at two points), so this is false.
- Analyze $\overleftrightarrow{SR}$ is a secant of circle P.: $\overleftrightarrow{SR}$ is a line that intersects circle P at two distinct points (S and R), which fits the definition of a secant, so this is true.
- Analyze "$\overline{VU}$ is a tangent of circle P.": $\overline{VU}$ is a diameter (a line segment passing through center P with endpoints on the circle), not a tangent (a line touching the circle at only one point), so this is false.
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$\overleftrightarrow{SR}$ is a secant of circle P.