Question

If the lines $l,m,$ and $n$ are such that $l\parallel m$ and $m\parallel n$ , then:

• A. $l\parallel n$
• B. $l\perp n$
• C. $l$ and $n$ are intersecting
• D. $l=n$

Answer 1

The correct option is A $l\parallel n$

Lines $l$ and $m$ are parallel to each other, hence they are making an angle of $0^0$ between them.
Similarly, lines $m$ and $n$ are parallel to each other, hence they are making an angle of $0^0$ between them.
Therefore, angle between lines $l$ and $n$ is also $0^0$, which proves that $l\parallel n$.