If $l$ $∥$ $m$ and $m$ $∥$ $n$ , what can be said about l and n?

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Solution

From Proclus' postulate, we know
"Straight lines parallel to the same straight line are parallel to one another."
$∵$ Both l and n are parallel to the same straight line i.e., m
$∴$ l $∥$ n.

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If l ∥ m and m ∥ n, what can be said about l and n?

From Proclus' postulate, we know "Straight lines parallel to the same straight line are parallel to one another." ∵ Both l and n are parallel to the same straight line i.e., m ∴ l ∥ n.

If $l$ $∥$ $m$ and $m$ $∥$ $n$ , what can be said about l and n?

From Proclus' postulate, we know
"Straight lines parallel to the same straight line are parallel to one another."
$∵$ Both l and n are parallel to the same straight line i.e., m
$∴$ l $∥$ n.