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Is it always possible to separate a convex polygon into four equal areas by 2 orthogonal lines?


What is the evidence? (A convex polygon is a polygon with a characteristics: given any two points inside the polygon, the line connecting it will be fully inside the polygon.)

 

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Sébastien De Landtsheer (sdelandtsheer) says

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4 years ago
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  • flysky profile image

    flysky 4 years ago

    Yes, it is always possible! I also believe there are infinitely many such separations. However, for a given one line that separates the polygon into two equal parts – there is no necessary another orthogonal one.. So, the first line have to be specia