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6. select all that apply: which of the following is a ray? \\(\\overlef…

Question

  1. select all that apply:

which of the following is a ray?

\\(\overleftarrow{cd}\\)

\\(\overleftrightarrow{ef}\\)

\\(\overline{gh}\\)

\\(\overrightarrow{jk}\\)

Explanation:

Define a ray and its notation

Using the Geometric Notation knowledge point
A ray is a part of a line that starts at an endpoint and extends infinitely in one direction. In geometric notation, a ray is represented by a bar over two letters with a single arrowhead pointing in one direction (e.g., \(\overrightarrow{AB}\) or \(\overleftarrow{AB}\)).

Analyze the given options

Using the Geometric Notation knowledge point

  • \(\overleftarrow{CD}\): This symbol has a single arrowhead pointing to the left over the letters \(CD\). This represents a ray starting at \(D\) and passing through \(C\).
  • \(\overleftrightarrow{EF}\): This symbol has arrowheads on both ends. This represents a line.
  • \(\overline{GH}\): This symbol has a plain bar with no arrowheads. This represents a line segment.
  • \(\overrightarrow{JK}\): This symbol has a single arrowhead pointing to the right over the letters \(JK\). This represents a ray starting at \(J\) and passing through \(K\).

Select all correct options

Using the Geometric Notation knowledge point
Both \(\overleftarrow{CD}\) and \(\overrightarrow{JK}\) represent rays because they have a single arrowhead indicating infinite extension in one direction.

Answer:

  • (A) \(\overleftarrow{CD}\) (Correct answer)
  • (B) \(\overleftrightarrow{EF}\)
  • (C) \(\overline{GH}\)
  • (D) \(\overrightarrow{JK}\) (Correct answer)