Question

Complete the following statement with the word always, sometimes, or never.

Two lines parallel to a third line are _____ parallel.

Short answer

The complete statement is “Two lines parallel to a third line are always parallel”.

Step-by-step solution

Step 1. Apply the concept of parallel lines.

Parallel lines are lines in a plane that do not meet such that two straight lines in a plane that do not intersect at any point are said to be parallel.

Step 2. Step description.

The two lines which are coplanar to the third line and do not intersect are always parallel.

Step 3. Step description.

Since the two parallel lines are coplanar to the third one, thus they are always parallel.

Therefore, the statement is “Two lines parallel to a third line are always parallel”.