The problem asks to identify a secant line, a chord, and a tangent line based on the given diagram of a circle. The circle has center $K$ and diameter $FM$. The line $HL$ intersects the circle at $M$, and the line $IJ$ intersects the circle at $G$ and $F$.

GeometryCirclesSecant LinesChordsTangent LinesGeometric DefinitionsDiagram Analysis
2025/5/9

1. Problem Description

The problem asks to identify a secant line, a chord, and a tangent line based on the given diagram of a circle. The circle has center KK and diameter FMFM. The line HLHL intersects the circle at MM, and the line IJIJ intersects the circle at GG and FF.

2. Solution Steps

(a) A secant line is a line that intersects a circle at two points. In the diagram, the line IJIJ intersects the circle at points GG and FF. Thus, IJIJ is a secant line.
(b) A chord is a line segment that connects two points on a circle. In the diagram, the line segment FGFG is a part of the secant line IJIJ, and it connects two points on the circle. FMFM is a diameter, and a diameter is a chord that passes through the center of the circle. HLHL intersects the circle at M, so the segment HMHM is not a chord. So, FMFM is a chord.
(c) A tangent line is a line that touches a circle at exactly one point. From the diagram, HLHL intersects at one point. So HLHL is a tangent line.

3. Final Answer

(a) IJIJ
(b) FMFM
(c) HLHL

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