Question

defining terms based on undefined terms
three undefined terms in mathematics:

1. point
2. line
3. plane

the mathematical term parallel lines explicitly uses the undefined term(s)
the mathematical term perpendicular lines explicitly uses the undefined term(s)

Explanation:

Parallel lines are lines in a plane that do not intersect. The definition of parallel lines explicitly uses the undefined terms of line and plane. A point is not directly involved in the basic definition of parallel lines. Perpendicular lines are two lines that intersect at a right - angle, which also uses the undefined terms of line and plane.

Answer:

II and III