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The true statements are :
A. line JK and LM do not lie on the same plane.
F. line JK and LM are parallel
Parallel lines are two or more straight lines in a two-dimensional space that will never intersect, regardless of how far they extend.
They maintain a consistent, equal distance from each other along their entire length. In geometry, parallel lines are symbolized by double vertical bars.
Their properties have significant applications in mathematics, engineering, and everyday life, facilitating concepts like angles, transversals, and the parallel postulate, which plays a fundamental role in Euclidean geometry.
Understanding parallel lines helps solve problems involving angles, slopes, and the geometry of shapes in various fields of study.
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Rewritten by : Barada
From the given options, Option C, E and F are correct.
In order to know which option is correct we need to analyze all the options one by one:
A) JK and LM dont lie on the same plane
This option is incorrect as JK║LM thus it means they lie in the same plane.
B) JK and LM are skew
Skew lines are those lines that do not intersect but are not parallel. But since it is given that JK║LM this option is incorrect.
C) JK and LM lie on the same plane
This option is correct as JK║LM thus it means they lie in the same plane.
D) JK and LM are perpendicular
Two lines are said to be perpendicular when they intersect each other at 90 degrees. But since JK and LM are parallel they cannot intersect at any angle. Thus, this option is incorrect.
E) JK and LM do not interact
This statement is true as the lines are parallel and cannot intersect. Since they dont intersect at any point they cant interact with each other.
F) JK and LM are parallel
It is given that JK║LM. This means they are parallel to each other and thus this option is also true.
From the given options, Option C, E and F are correct.
