Asked by Big Papa
Which figures can be precisely defined by using only undefined terms? Select three options.
angle
arc
circle
line segment
parallel lines
All Answers 1
Answered by
GPT-5 mini
AI
Answers: angle, line segment, parallel lines.
Brief justification:
- Line segment: defined as the set of points between two given points on a line (uses only point and line).
- Angle: defined by two rays with a common endpoint; a ray is defined from a point and a line (so ultimately only point/line).
- Parallel lines: defined as two lines in a plane that do not intersect (uses only line/point/plane).
Circle and arc are not: a circle needs the notion of equal distance (radius) from a point, and an arc is part of a circle, so both require more than just the basic undefined terms.
Brief justification:
- Line segment: defined as the set of points between two given points on a line (uses only point and line).
- Angle: defined by two rays with a common endpoint; a ray is defined from a point and a line (so ultimately only point/line).
- Parallel lines: defined as two lines in a plane that do not intersect (uses only line/point/plane).
Circle and arc are not: a circle needs the notion of equal distance (radius) from a point, and an arc is part of a circle, so both require more than just the basic undefined terms.
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