which figures can be precisely defined by using only undefined terms? select three options.\nangle\narc\ncirc…

which figures can be precisely defined by using only undefined terms? select three options.\nangle\narc\ncircle\nline segment\nparallel lines

which figures can be precisely defined by using only undefined terms? select three options.\nangle\narc\ncircle\nline segment\nparallel lines

Answer

Brief Explanations:

Undefined terms in geometry are point, line, and plane.

  • Angle: Defined using rays (which rely on lines/points, but rays are defined terms, so angle uses defined terms).
  • Arc: Part of a circle, which requires the circle definition (uses defined terms like center/radius).
  • Circle: Defined as the set of all points in a plane equidistant from a fixed point (center, a point; distance uses undefined terms implicitly but is a basic relation here—wait, correction: circle uses point (undefined) and distance (a defined term? No, actually, in basic geometry, circle is defined with point (undefined) and the concept of equidistant, but let’s check standard definitions:
  • Line segment: Defined as part of a line between two points (both undefined terms: line, point).
  • Parallel lines: Defined as lines in the same plane that never intersect (uses line (undefined) and plane (undefined)).
    Wait, standard correct ones: line segment (point, line), parallel lines (line, plane), circle (point, plane, distance—but wait, no: let’s confirm: Undefined terms are point, line, plane.
  • Line segment: Two points (undefined) and a line (undefined) → yes, uses only undefined terms.
  • Parallel lines: Two lines (undefined) in a plane (undefined) with no intersection → yes.
  • Circle: Set of points (undefined) in a plane (undefined) equidistant from a fixed point (undefined) → yes, because all components are undefined terms (point, plane).
    Angle uses rays (defined as part of a line with an endpoint), so angle uses defined terms. Arc uses circle (which is okay, but wait no—arc is part of a circle, but the question is which can be defined using only undefined terms. So the three correct are circle, line segment, parallel lines.

Answer:

circle, line segment, parallel lines