Yes, if two lines are parallel to the same line, then they are parallel to each other.
The reasoning behind this is based on the definition of parallel lines. When two lines are parallel, it means they never intersect, regardless of how far they are extended. If line A is parallel to line B, and line C is also parallel to line B, then both line A and line C must maintain the same distance apart. They will never meet, thus confirming that they are parallel.
This concept is a fundamental property in geometry and can be understood better by visualizing it. Imagine two straight tracks running side by side; if both tracks are straight and each one is parallel to a third track (which can be thought of as the reference), they won’t cross each other. Therefore, we can deduce that the two lines must indeed be parallel to each other.