Spherical Geometry

14 Questions | Total Attempts: 1642

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Spherical Geometry

Questions and Answers
  • 1. 
    Spherical Geometry is an example of non-Euclidean geometry.
    • A. 

      True

    • B. 

      False

  • 2. 
    Parallel lines can be drawn on a sphere.
    • A. 

      True

    • B. 

      False

  • 3. 
    When two lines intersect on a sphere ________ angles are made. 
  • 4. 
    The sum of the angles of a triangle on a sphere can be at most _____________ degrees. 
  • 5. 
    The dotted line on the sphere below is called a great circle.
    • A. 

      True

    • B. 

      False

  • 6. 
    Vertical angles are congruent in both Euclidean and spherical geometry.
    • A. 

      True

    • B. 

      False

  • 7. 
    Which statement is not true in spherical geometry.
    • A. 

      Two lines that are perpendicular to the same line are parallel to each other.

    • B. 

      A great circle is finite and returns to its original starting point.

    • C. 

      An arc of a great circle is the shortest path between two points.

    • D. 

      There is a unique great circle passing through any pair of nonpolar points.

  • 8. 
    A line in spherical geometry has infinite length.
    • A. 

      True

    • B. 

      False

  • 9. 
    Infinitely many great circles can be drawn through the poles on a sphere. 
    • A. 

      True

    • B. 

      False

  • 10. 
    The shortest distance on a sphere is a(n) ________________.
    • A. 

      Great circle

    • B. 

      Sphere

    • C. 

      Arc of a great circle

    • D. 

      Triangle

  • 11. 
    A triangle can have more than one right angle.
    • A. 

      True

    • B. 

      False

  • 12. 
    Perpendicular lines on a sphere form how many right angles?
    • A. 

      6

    • B. 

      4

    • C. 

      8

  • 13. 
    On a sphere, two lines intersect at one and only one point.
    • A. 

      True

    • B. 

      False

  • 14. 
    All lines of longitude are great circles.
    • A. 

      True

    • B. 

      False