Question

question 5 of 10
if (overleftrightarrow{jk}paralleloverleftrightarrow{lm}), which of the following statements are true?
check all that apply.
a. (overleftrightarrow{jk}) and (overleftrightarrow{lm}) do not intersect.
b. (overleftrightarrow{jk}) and (overleftrightarrow{lm}) are parallel.
c. (overleftrightarrow{jk}) and (overleftrightarrow{lm}) are perpendicular.
d. (overleftrightarrow{jk}) and (overleftrightarrow{lm}) lie in the same plane.
e. (overleftrightarrow{jk}) and (overleftrightarrow{lm}) do not lie in the same plane.
f. (overleftrightarrow{jk}) and (overleftrightarrow{lm}) are skew.

Explanation:

Parallel lines do not intersect and are in the same - plane. The symbol $\parallel$ indicates parallelism. Perpendicular lines intersect at a right - angle, skew lines are non - parallel and non - intersecting and are in different planes. Since $\overleftrightarrow{JK}\parallel\overleftrightarrow{LM}$, they do not intersect, are parallel, and lie in the same plane.

Answer:

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