Question

three undefined terms in mathematics
i point
ii line
iii plane
the mathematical term parallel lines explicitly uses the
undefined term(s)
the mathematical term perpendicular lines explicitly
uses the undefined term(s)
the mathematical term line segment explicitly uses the
undefined term(s)
i and ii
i and iii
ii and iii
iii only

Explanation:

• Parallel lines: Parallel lines are two lines in a plane that do not intersect. The definition explicitly uses the undefined terms “line” (II) and “plane” (III).
• Perpendicular lines: Perpendicular lines are two lines that intersect at a right angle (90 degrees). The definition explicitly uses the undefined terms “line” (II) and “plane” (III).
• Line segment: A line segment is a part of a line that has two endpoints. The definition explicitly uses the undefined terms “point” (I) and “line” (II).

Answer:

• Parallel lines: II and III
• Perpendicular lines: II and III
• Line segment: I and II