Folding into Three Parts

Geometry Level 2

You have a rectangular sheet of paper.

You are only allowed to fold the paper and create creases. For example, we can fold the paper into half to get 2 congruent rectangles, and fold it into half again to get 4 congruent rectangles.

Can you create 2 parallel creases along which to fold the paper into 3 congruent rectangles?

Details and Assumptions:

  • You are not allowed to use a ruler, compass, scissors or any other geometric aids.
  • You are not allowed to guess/estimate any angle or length by the naked eye.
  • You may only fold the paper, create creases, and use the edges and corners of the paper and the creases to make new folds.

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