QUESTION IMAGE
Question
classify each figure as a line, ray, or line segment. then, show how to write it. (a) (b) (c)
Step1: Recall definitions
- A ray has one endpoint and extends infinitely in one direction.
- A line has no endpoints and extends infinitely in both directions.
- A line segment has two endpoints.
Step2: Analyze figure (a)
- Figure (a) has one endpoint \(H\) and extends infinitely through \(G\). So it is a ray. Written as \(\overrightarrow{HG}\).
Step3: Analyze figure (b)
- Figure (b) has no endpoints and extends infinitely in both directions. So it is a line. Written as \(\overleftrightarrow{KJ}\) (or \(\overleftrightarrow{JK}\)).
Step4: Analyze figure (c)
- Figure (c) has two endpoints \(L\) and \(M\). So it is a line segment. Written as \(\overline{LM}\) (or \(\overline{ML}\)).
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| Figure | Type | How to write it |
|---|---|---|
| (b) | line | \(\overleftrightarrow{KJ}\) (or \(\overleftrightarrow{JK}\)) |
| (c) | line segment | \(\overline{LM}\) (or \(\overline{ML}\)) |