Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

which is defined using the undefined terms point and line? angle circle…

Question

which is defined using the undefined terms point and line?
angle
circle
parallel lines
ray

Explanation:

Brief Explanations
  • An angle is defined by two rays (which involve points and lines) but let's analyze each option:
  • Angle: Defined as the union of two rays with a common endpoint (a point), but the definition of ray is needed first.
  • Circle: Defined as the set of all points equidistant from a given point (center), mainly using the undefined term "point" and the concept of distance, not directly line.
  • Parallel lines: Defined as lines in a plane that never meet, but this definition relies on the definition of "line" and the concept of a plane (another undefined term in some systems), but not as direct as ray.
  • Ray: A ray is defined as a part of a line that starts at a point (an undefined term) and extends infinitely in one direction along the line (another undefined term). So a ray is directly defined using the undefined terms point and line.

Answer:

D. ray (assuming the options are labeled A: angle, B: circle, C: parallel lines, D: ray)