The problem asks us to identify different segments and lines associated with a circle. We need to determine what each of the given segments/lines are, based on the image.

GeometryCircleChordsRadiusTangentSecant
2025/3/28

1. Problem Description

The problem asks us to identify different segments and lines associated with a circle. We need to determine what each of the given segments/lines are, based on the image.

2. Solution Steps

* GE\overline{GE}: This is a chord of the circle.
* BH\overline{BH}: Since H is the center of the circle, BH\overline{BH} is a radius.
* AA: The point AA lies on line JA\overrightarrow{JA}. The line JA\overrightarrow{JA} touches the circle at point A. So A is a point of tangency.
* FD\overrightarrow{FD}: This is a secant of the circle because it intersects the circle at two points.
* GC\overline{GC}: This is a chord of the circle.
* JA\overrightarrow{JA}: This line touches the circle at only one point. So, JA\overrightarrow{JA} is a tangent.

3. Final Answer

* GE\overline{GE} = Chord
* BH\overline{BH} = Radius
* AA = Point of Tangency
* FD\overrightarrow{FD} = Secant
* GC\overline{GC} = Chord
* JA\overrightarrow{JA} = Tangent

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