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classify each figure as a line, ray, or line segment. then, show how to…

Question

classify each figure as a line, ray, or line segment. then, show how to write it. (a) (b) (c)

Explanation:

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 \(\overline{ML}\)).

Answer:

FigureTypeHow to write it
(b)line\(\overleftrightarrow{KJ}\) (or \(\overleftrightarrow{JK}\))
(c)line segment\(\overline{LM}\) (or \(\overline{ML}\))