Question

use the diagram below to answer the questions. which are shown on the diagram? check all that apply. (overline{jk}) (overrightarrow{km}) (overrightarrow{jk}) (overline{pk}) (angle ljk) (overrightarrow{mj})

Explanation:

1. Analyze \(\overline{JK}\): A line segment from \(J\) to \(K\) is present (on the horizontal line \(q\) between \(J\) and \(K\)), so \(\overline{JK}\) is shown.
2. Analyze \(\overrightarrow{KM}\): A ray starting at \(K\) and going through \(M\) (since \(K\) to \(M\) is part of the horizontal line with an arrow at \(M\) direction) is present, so \(\overrightarrow{KM}\) is shown.
3. Analyze \(\overrightarrow{JK}\): A ray starting at \(J\) and going through \(K\) (on the horizontal line \(q\) from \(J\) to \(K\) with the arrow at \(M\) end, but \(J\) to \(K\) is a segment and the ray from \(J\) through \(K\) is part of line \(q\)) is present, so \(\overrightarrow{JK}\) is shown.
4. Analyze \(\overrightarrow{PK}\): A ray starting at \(P\) and going through \(K\) (the segment from \(P\) to \(K\) can be considered as the ray \(\overrightarrow{PK}\) starting at \(P\) through \(K\)) is present, so \(\overrightarrow{PK}\) is shown.
5. Analyze \(\angle LJK\): The angle at \(J\) between \(LJ\) (the line from \(L\) to \(J\)) and \(JK\) (the horizontal segment) is formed, so \(\angle LJK\) is shown.
6. Analyze \(\overrightarrow{MJ}\): A ray starting at \(M\) and going through \(J\) would be opposite to the direction of the arrow on line \(q\) (line \(q\) has arrow towards \(M\) side from \(J\), so ray from \(M\) to \(J\) is not in the shown direction), so \(\overrightarrow{MJ}\) is not shown.

Answer:

\(\overline{JK}\), \(\overrightarrow{KM}\), \(\overrightarrow{JK}\), \(\overrightarrow{PK}\), \(\angle LJK\)