What Do You Know About Hinged Dissections?

10 Questions | Total Attempts: 121

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What Do You Know About Hinged Dissections? - Quiz

In geometry, hinged dissections are a type of dissection problems that possess one chain-like property, which makes all of their respective pieces connected into a chain by certain points. Thus, the improvement starting with one figure then onto the next can be completed by swinging the chain ceaselessly, without separating any of the associations. Hinged dissections are also regarded to as Dudeney dissections or swing-hinged dissections.


Questions and Answers
  • 1. 
    What connects each points together in a hinged dissection?
    • A. 

      Dots

    • B. 

      Hinges

    • C. 

      Locks

    • D. 

      Chains

  • 2. 
    At which point are the pieces of a hinged dissection hinged? 
    • A. 

      Center

    • B. 

      Left

    • C. 

      Right

    • D. 

      Vertices

  • 3. 
    Which of these shapes is formed by joining unit squares at their edges?
    • A. 

      Polygons

    • B. 

      Polyforms

    • C. 

      Polyominoes

    • D. 

      Rhombi

  • 4. 
    Which of these does not occur when you form a new shape in a dissection?
    • A. 

      The original shape will be changed

    • B. 

      The chain will be broken

    • C. 

      The original shape will remain intact

    • D. 

      The chain will not be broken

  • 5. 
    Who introduced the idea of hinged dissections? 
    • A. 

      Greg Frederickson

    • B. 

      Jones Lewis Mulberry

    • C. 

      Henry Ernest Dudeney

    • D. 

      George Rodriguez

  • 6. 
    Which of these is not a way to form a new shape with a hinged dissection?
    • A. 

      Overlays

    • B. 

      Adding a new piece

    • C. 

      Moving the piece

    • D. 

      Folding

  • 7. 
    Which of these is true about two polygons that have a common hinged dissection? 
    • A. 

      Both must have the same area

    • B. 

      One should be twice the size of the other

    • C. 

      One must be half the size of the other

    • D. 

      Number of sides of both polygons must be less than ten

  • 8. 
    At what point are the hinges placed on the pieces in a twist hinge?
    • A. 

      Vertices

    • B. 

      Edge

    • C. 

      Center

    • D. 

      Bottom

  • 9. 
    What makes a twist hinged dissection different from a regular hinged dissection?
    • A. 

      It is plane

    • B. 

      It is three-dimensional

    • C. 

      Its hinges are placed on the vertices

    • D. 

      It allows overlapping

  • 10. 
    What was the first hinged dissection? 
    • A. 

      Equilateral triangle to square

    • B. 

      Equilateral triangle to rectangle

    • C. 

      Equilateral triangle to polygon

    • D. 

      Equilateral triangle to hexagon

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