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Origamic III (Posted on 2012-10-07) Difficulty: 3 of 5
This is in continuation of Origamic II.

A sheet of paper has the exact shape of a rectangle (denoted by ABCD) where the length of AB is greater than or equal to the length of AD. The vertex A is folded onto the vertex C, resulting in the crease EF (E on AB and F on CD).

The paper is thereafter unfolded and, the vertex A is folded onto F so that, the length of the resulting crease is equal to AB.

Is ABCD always a square? If so, prove it - otherwise, give a counter example.

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
SolutionSolutionBractals2012-10-08 20:09:52
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