Mastering Geometry Concepts
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Questions and Answers

According to Euclidean geometry, how many lines can pass through a point and be parallel to a given line?

  • Infinite
  • Two
  • One (correct)
  • None
  • According to Lobachevsky, how many lines can pass through a point and be parallel to a given line?

  • None
  • Infinite (correct)
  • One
  • Two
  • According to G.F.B. Riemann, how many lines can pass through a point and be parallel to a given line?

  • One
  • Infinite
  • None (correct)
  • Two
  • According to Euclidean geometry, how many lines can pass through a point and be parallel to a given line?

    <p>One and only one</p> Signup and view all the answers

    In hyperbolic geometry, how many distinct lines can pass through a point and be parallel to a given line?

    <p>Infinite number</p> Signup and view all the answers

    What is the sum of the angles of a triangle in G.F.B. Riemann's non-Euclidean geometry?

    <p>Greater than 180 degrees</p> Signup and view all the answers

    According to Euclidean geometry, how many lines pass through a point and are in the same plane as a given line without intersecting it?

    <p>Exactly one</p> Signup and view all the answers

    In spherical geometry, what are lines defined as?

    <p>Great circles</p> Signup and view all the answers

    What is the defining characteristic of absolute geometry according to the text?

    <p>Any two points determine a unique line</p> Signup and view all the answers

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