What Do You Know About The Equal Incircles Theorem?

10 Questions | Total Attempts: 105

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What Do You Know About The Equal Incircles Theorem? - Quiz

Derived from a Sangaku (calculation tablet), the equal incircles theorem is one of the important theorems in the study of size, shape, relative position of figures, and the properties of space. It states that the incircles of triangles formed by any given ray are equal to the base line and those formed by every other ray.


Questions and Answers
  • 1. 
    Where did the equal incircles theorem originate from?
    • A. 

      Japan

    • B. 

      China

    • C. 

      Tokyo

    • D. 

      Berlin

  • 2. 
    Which is a basic hyperbolic function?
    • A. 

      Sinh

    • B. 

      Cosec

    • C. 

      Sine

    • D. 

      Tan

  • 3. 
    Which of these represents the size of a hyperbolic angle?
    • A. 

      Twice the area of its hyperbolic sector

    • B. 

      Half the area of its hyperbolic sector

    • C. 

      Thrice the area of its hyperbolic sector

    • D. 

      One quarter the area of its hyperbolic sector

  • 4. 
    What is a geometric figure that divides a hyperbola called? 
    • A. 

      Lateral angle

    • B. 

      Hyperbolic inverse

    • C. 

      Hyperbolic sector

    • D. 

      Hyperbolic angle

  • 5. 
    What is a region of the Cartesian plane bounded by rays from the origin to two points and by the rectangular hyperbola?
    • A. 

      Hyperbolic area

    • B. 

      Hyperbolic sector

    • C. 

      Hyperbolic function

    • D. 

      Hyperbolic inverse

  • 6. 
    What is the area of a hyperbolic sector in a standard position?
    • A. 

      Ln b

    • B. 

      Sin b

    • C. 

      Ln c

    • D. 

      Sin c

  • 7. 
    What does a hyperbolic sector determine when in a standard position?
    • A. 

      Hyperbolic triangle

    • B. 

      Hyperbolic angle

    • C. 

      Right triangle with one vertex at the origin

    • D. 

      Third vertex on the hyperbola

  • 8. 
    How many parts has a hyperbola?
    • A. 

      4

    • B. 

      3

    • C. 

      2

    • D. 

      1

  • 9. 
    What is a classification of smooth curve lying in a plane, which is defined by its geometric properties?
    • A. 

      Hyperbola

    • B. 

      Hyperbolic angle

    • C. 

      Cartesian plane

    • D. 

      Hyperbolic sector

  • 10. 
    What are the two fixed points on a hyperbola called?
    • A. 

      Foci

    • B. 

      Loci

    • C. 

      Radius

    • D. 

      Ellipsis

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