Respuesta :

Answer: A. [tex]\overline{JK}[/tex] and [tex]\overline{LM}[/tex] are parallel.

C. [tex]\overline{JK}[/tex] and [tex]\overline{LM}[/tex] lie on the same plane.

E. [tex]\overline{JK}[/tex] and [tex]\overline{LM}[/tex] do not intersect.

Step-by-step explanation:

Given expression : [tex]\overline{JK}||\overlien{LM}[/tex]

We know that '||' is the sign we use to show parallel lines.

It means [tex]\overline{JK}[/tex] and [tex]\overline{LM}[/tex] are parallel.

Also, parallel lines lie on the same plane.

So , [tex]\overline{JK}[/tex] and [tex]\overline{LM}[/tex] lie on the same plane.

It is known that the parallel lines are the lines which never intersect each other.

So [tex]\overline{JK}[/tex] and [tex]\overline{LM}[/tex] do not intersect.

Also, skew lines are lines which are not parallel.

But [tex]\overline{JK}[/tex] and [tex]\overline{LM}[/tex] are parallel.

So, [tex]\overline{JK}[/tex] and [tex]\overline{LM}[/tex] aare not skew.

JK and LM are parallel. lie in the same plane and do not intersect with each other.

What is a line?

A line is can be defined as a straight one- dimensional figure that has no thickness and extends endlessly in both directions. If two lines are parallel, they do not intersect and line in the same plane.

Given that: JK || LM, hence:

JK and LM are parallel. lie in the same plane and do not intersect with each other.

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