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A line can be leased as either a 2-wire (1-pair) line or a 4-wire (2-pair) line. A 2-pair line uses 1 pair to transmit and 1 pair to receive. With a 1-pair line, you transmit and receive over the same pair of wires.
Line segment
perpendicular line
I suppose they could be called a pair, just like two horizontal lines could be called a pair, but it's not a "mathematical" or "technical" term.
The edge of a tetrahedron is the line where any pair of its faces meet. Equally, it is the line joining any pair of its vertices.