Question

if $overleftrightarrow{jk}paralleloverleftrightarrow{lm}$, which of the following statements are true? check all that apply. a. $overleftrightarrow{jk}$ and $overleftrightarrow{lm}$ are parallel. b. $overleftrightarrow{jk}$ and $overleftrightarrow{lm}$ are perpendicular. c. $overleftrightarrow{jk}$ and $overleftrightarrow{lm}$ lie in the same plane. d. $overleftrightarrow{jk}$ and $overleftrightarrow{lm}$ do not lie in the same plane. e. $overleftrightarrow{jk}$ and $overleftrightarrow{lm}$ do not intersect. f. $overleftrightarrow{jk}$ and $overleftrightarrow{lm}$ are skew.

Explanation:

Parallel lines are lines that never intersect and can lie in the same plane. Perpendicular lines intersect at a 90 - degree angle. Skew lines are non - parallel and non - intersecting lines that do not lie in the same plane. Since $\overleftrightarrow{JK}\parallel\overleftrightarrow{LM}$, they are parallel, lie in the same plane (in a 2 - D context or can be considered to be in a common plane in 3 - D for parallel lines), and do not intersect.

Answer:

A. $\overleftrightarrow{JK}$ and $\overleftrightarrow{LM}$ are parallel.
C. $\overleftrightarrow{JK}$ and $\overleftrightarrow{LM}$ lie in the same plane.
E. $\overleftrightarrow{JK}$ and $\overleftrightarrow{LM}$ do not intersect.